Interface Models in Coupled Thermoelasticity
Interface Models in Coupled Thermoelasticity
复制标题
耦合热弹性界面模型
DOI：
10.3390/technologies9010017
复制
发表时间：
2021
期刊：
影响因子：
3.6
通讯作者：
F. Lebon
中科院分区：
文献类型：
--
作者：
M. Serpilli;S. Dumont;R. Rizzoni;F. Lebon
本文在耦合热弹性的框架下，提出了三维复合材料结构层间新的界面条件。更确切地说，用渐近分析的方法研究了由线各向同性热弹性材料组成的两个由薄层粘结在一起的线性各向同性热弹性固体的力学行为。在定义了与中间层厚度和本构系数有关的趋近于零的小参数ε之后，描述了两种不同的极限模型及其相关的极限问题，即所谓的软和硬热弹性界面模型。通过考虑高阶项的影响，定义了包含上述模型的广义热弹性界面定律，回顾了渐近展开法。最后给出了一个数值算例，验证了该方法的有效性。
This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter ε, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called soft and hard thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously.