Mode-mixity-dependent adhesion of power-law graded elastic solids under normal load and substrate stretch-induced mismatch strain
Mode-mixity-dependent adhesion of power-law graded elastic solids under normal load and substrate stretch-induced mismatch strain
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DOI：
10.1016/j.ijsolstr.2012.05.003
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发表时间：
2012-09
影响因子：
3.6
通讯作者：
F. Jin;Xu Guo
中科院分区：
文献类型：
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作者：
F. Jin;Xu Guo
本文分析研究了幂律梯度弹性固体在外部法向载荷和基底拉伸引起的失配应变共同作用下的粘结行为，并考虑了模态混合效应。分析了平面应变非滑移模型、平面应变非耦合模型和轴对称非耦合模型。研究结果表明，在有限法向力作用下，当失配应变达到临界值时，系统的平衡状态可能会失去稳定性，而失配应变的临界值与梯度材料常数和模式混合度密切相关.这表明，通过适当地设计粘合剂体系的物理常数，可以实现在基底拉伸下最强或最弱的粘合强度。这些结果为功能梯度材料在粘接系统中的新应用提供了理论基础。
The present paper analytically investigates the adhesive behavior of power-law graded elastic solids under a combined action of external normal loading and a substrate stretch-induced mismatch strain with the effect of mode-mixity taken into account. A plane strain non-slipping model, a plane strain non-coupling model and an axisymmetric non-coupling model have been analyzed, respectively. Our results show that under a finite normal force, the equilibrium of the adhesive system may lost its stability at a critical value of mismatch strain, which significantly depends on both the graded material constants and the degree of mode-mixity. This indicates that the strongest or weakest adhesion strength under substrate stretching can be achieved by designing the physical constants of the adhesive system appropriately. These results provide a theoretical foundation for novel applications of functional graded materials in adhesion systems.