多层梁的热力学
On thermomechanics of multilayered beams
摘要：
本文研究了多层小尺度梁在非等温环境中的力学行为。尺度现象的数学适定性和实验一致的应力驱动的弹性积分公式的装置建模。本研究将[1]中的处理扩展到弹性均匀的纳米结构。结果表明，非局部性导致轴向和横向弹性位移之间的复杂耦合。这样的尺寸依赖的现象，使相关的非局部热弹性静力学问题的解决方案，由两个常微分方程与10个标准的边界条件和非经典的本构边界条件的系统，显着更多地涉及相对于文献中的治疗。因此，一种新的解决方案的方法，拉普拉斯变换的基础上，提出并说明了通过检查简单的结构方案，目前在纳米力学和纳米技术的应用兴趣。
英文摘要：
In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven integral formulation of elasticity. The present research extends the treatment in [1] confined to elastically homogeneous nano-scopic structures. It is shown that the non-locality leads to a complex coupling between axial and transverse elastic displacements. Such a size-dependent phenomenon makes the solution of the relevant nonlocal thermoelastostatic problem, governed by a system of two ordinary differential equations with ten standard boundary conditions and non-classical constitutive boundary conditions, significantly more involved with respect to treatments in literature. Thus, a novel solution methodology, based on Laplace transforms, is proposed and illustrated by examining simple structural schemes of current applicative interest in Nanomechanics and Nanotechnology.
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