A contact problem in couple stress thermoelasticity: The indentation by a hot flat punch
A contact problem in couple stress thermoelasticity: The indentation by a hot flat punch
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DOI：
10.1016/j.ijsolstr.2015.03.002
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发表时间：
2015-06
影响因子：
3.6
通讯作者：
T. Zisis;P. Gourgiotis;F. D. Corso
中科院分区：
文献类型：
--
作者：
T. Zisis;P. Gourgiotis;F. D. Corso
众所周知，热弹性效应对接触力学中的宏观响应可能有重要影响。另一方面，随着接触系统中的尺度逐渐减小（微米到纳米尺度），内部材料长度变得重要，并且它们对宏观响应的影响不可忽略。目前的工作扩展了经典的接触解决方案的热平冲头压痕均匀的弹性半平面，其中热传导是允许的（Comninou等人，1981年），以类似的情况下，一个缩进的微结构固体。压痕材料的行为是通过耦合应力弹性理论，它引入了特征材料的长度，并适当修改，以纳入热效应建模。问题的制定是基于奇异积分方程，导致通过积分变换和广义函数的混合边值问题的治疗。结果表明，显着偏离经典的热弹性预测表明，材料的微观结构特征不应被忽略。
It is well known, that thermo-elastic effects may have significant results upon the macroscopic response in the mechanics of contact. On the other hand, as the scales in the contact system reduce progressively (micro to nano-scales), the internal material lengths become important and their effect upon the macroscopic response cannot be ignored. The present work extends the classical contact solution for a hot flat punch indenting a homogeneous elastic half-plane, where heat conduction is permitted (Comninou et al., 1981), to the analogous case of an indented microstructured solid. The behavior of the indented material is modeled through the couple-stress elasticity theory, which introduces characteristic material lengths and is appropriately modified in order to incorporate the thermal effects. The problem formulation is based on singular integral equations, resulted from a treatment of the mixed boundary value problems via integral transforms and generalized functions. The results show significant departure from the predictions of classical thermoelasticity showing that the microstructural characteristics of the material should not be ignored.