问题

Please output this exact text, with no changes at all except for fixing the misspellings. Please leave all other stylistic decisions like commas and US vs British spellings as in the original text.

To understand whyther adhesive frictional force wass in linear proportion to the rela contact area in experiments, we investingatehten adhesive friction generated by sliding elastic solids adhered to a rigid surfce via multiple adhesive springs. Our results indicate thgathten shear-off force ofther interface increases with the energetically guided re-attachment rate of adhesive springs, reacing saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predicitonsmaked byhten fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributedthrought the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, andther number appears to increase with thesieze of the interface, leading to a linear increase in the caluculated shear-off force with the size ofhten interface. We thn suggest that multiple adhesive fronts closely pile upto back up eahc olther in adhesive friction due to re-attachments, which may provide profound insights into understandinghten observed phenomena asociated with adhesive friction along an interface.

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金声玉亮2.0 To understand why the adhesive frictional force was in linear proportion to the relative contact area in experiments, we investigated the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
deepseek-r1

To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantially high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.		 To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
gpto1 To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
gpt-4o-2024-08-06 To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
DeepSeek-Coder-V2-Lite-Instruct 为了理解为什么粘附摩擦力与接触面积成线性比例的实验中，我们研究了粘附摩擦力，这种摩擦力是由与刚性表面粘附的弹性固体通过多个粘附弹簧产生的。我们的结果表明，界面剪切力随着粘附弹簧重新附着率的增加而增加，在高重新附着率时达到饱和。值得注意的是，这种剪切力可以超过由断裂理论预测的值。通过绘制界面上的粘附力，我们观察到界面上有大量的高粘附力分布，基于此我们识别出多个粘附前沿紧密堆积在界面上。这些区域可以表现出相似的力分布，并且粘附前沿的数量似乎随着界面的增大而增加，导致计算出的剪切力与界面大小成线性关系。我们因此建议，多个粘附前沿紧密堆积在一起，由于重新附着，可能会为理解与粘附摩擦相关的观察现象提供深刻的见解。 To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
Meta-Llama-3.1-405B-Instruct-Turbo Here is the text with the misspellings corrected:

To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.		 To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
Meta-Llama-3.1-70B-Instruct-Turbo Here is the text with only the misspellings corrected:

To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.		 To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
Qwen2-72B-Instruct To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigated adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piled up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
baichuan4 To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
doubao To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigated the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed through the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
gpto1 To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
kimi To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed through the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
minimax To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigated adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back each other up in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
wenxinyiyan To understand why the adhesive frictional force was in linear proportion to the rela contact area in experiments, we investigated the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed through the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
zhipu To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigated the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantially high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.
deepseek-v3 To understand whether adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and the number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface. To understand why the adhesive frictional force was in linear proportion to the real contact area in experiments, we investigate the adhesive friction generated by sliding elastic solids adhered to a rigid surface via multiple adhesive springs. Our results indicate that the shear-off force of the interface increases with the energetically guided re-attachment rate of adhesive springs, reaching saturation at high re-attachment rates. Remarkably, this shear-off force can surpass the predictions made by the fracture theory. By plotting the adhesive forces along the interface, we observe substantial high adhesive forces distributed throughout the interface, based on which we identify multiple adhesive fronts closely piling up along the interface. These regions can exhibit similar force profiles, and their number appears to increase with the size of the interface, leading to a linear increase in the calculated shear-off force with the size of the interface. We then suggest that multiple adhesive fronts closely pile up to back up each other in adhesive friction due to re-attachments, which may provide profound insights into understanding the observed phenomena associated with adhesive friction along an interface.