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Thermo-mechanical behaviour of multi-layered media based on the Lord-Shulman model
Abstract The relaxation time model is introduced to analyse the thermo-mechanical problem for multi-layered media in this paper. The Fourier heat conduction equation is extended by introducing a relaxation time based on the Lord-Shulman model. For multi-layered media, the analytical layer-element method is employed to establish the global stiffness matrix equations by assembling the correlative layer-elements in the Laplace-Hankel domain. Then, solutions for displacement and temperature in the time domain are obtained by solving the global matrix equations and implementing a numerical inversion procedure. For numerical implementations, computational overflows are avoided by eliminations of positive exponentials in the stiffness matrix, and numerical instabilities in special cases due to singularity are removed by replacing singular layer-elements with well-conditioned ones. Comparisons with the existing solutions and the FEM analysis demonstrate the accuracy and efficiency of the proposed method. Finally, a series of numerical examples are presented to discuss the effects of transient load type, stratification, relaxation time and the surface heat transfer coefficient.
Thermo-mechanical behaviour of multi-layered media based on the Lord-Shulman model
Abstract The relaxation time model is introduced to analyse the thermo-mechanical problem for multi-layered media in this paper. The Fourier heat conduction equation is extended by introducing a relaxation time based on the Lord-Shulman model. For multi-layered media, the analytical layer-element method is employed to establish the global stiffness matrix equations by assembling the correlative layer-elements in the Laplace-Hankel domain. Then, solutions for displacement and temperature in the time domain are obtained by solving the global matrix equations and implementing a numerical inversion procedure. For numerical implementations, computational overflows are avoided by eliminations of positive exponentials in the stiffness matrix, and numerical instabilities in special cases due to singularity are removed by replacing singular layer-elements with well-conditioned ones. Comparisons with the existing solutions and the FEM analysis demonstrate the accuracy and efficiency of the proposed method. Finally, a series of numerical examples are presented to discuss the effects of transient load type, stratification, relaxation time and the surface heat transfer coefficient.
Thermo-mechanical behaviour of multi-layered media based on the Lord-Shulman model
Ai, Zhi Yong (author) / Ye, Zi Kun (author) / Yang, Jun Jie (author)
2020-10-19
Article (Journal)
Electronic Resource
English
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