Coupled Finite Element Analysis of Generalized Thermoelasticity in Semi-Infinite Medium

Leping Zhou, D. Tang, N. Araki
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引用次数: 13

Abstract

The equations for the extended Lord-Shulman (LS) and Green-Lindsay (GL) models are solved for thermoelastic analysis in a semi-infinite medium by employing a finite element method using the theory of virtual displacement and the implicit Newmark algorithm. Simulations for both one-dimensional (1D) and two-dimensional (2D) models are performed to achieve the best approximation under prescribed boundary conditions. The effects of thermoelastic coupling factors and relaxation parameters on thermomechanical behavior of the medium are discussed for the two models. The results are consistent with our previous work using the Laplace transformation method.
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半无限介质中广义热弹性的耦合有限元分析
采用虚拟位移理论和隐式Newmark算法,对半无限介质热弹性分析的扩展Lord-Shulman (LS)和Green-Lindsay (GL)模型进行了有限元求解。对一维(1D)和二维(2D)模型进行了模拟,以在规定的边界条件下获得最佳近似。讨论了两种模型中热弹性耦合因子和松弛参数对介质热力学行为的影响。所得结果与我们以前用拉普拉斯变换方法所做的工作一致。
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