Classical and Generalized Coupled Thermoelasticity of a Layer

Abstract

This paper presents a one-dimensional thermoelastic region modelled based on the classical and generalized coupled thermoelasticity theories. The formulation is based on Lord-Shulman and Green-Lindsay models as the generalized theories. The Laplace transform, combined with the Fourier expansion technique, is applied to obtain the distribution of the temperature, displacement, and stresses through the domain. The analytical solutions in the Laplace domain are obtained for each model. The inverse Laplace transforms are obtained numerically, and the behaviour of each field variable is shown and compared for the classical and generalized thermoelasticity theories. The behaviour of thermoelastic waves in a one-dimensional finite domain are discussed based on the classical and generalized coupled thermoelasticity theories.

Keywords: thermoelasticity, Lord-Shulman, Green-Lindsay, Laplace transform, Fourier expansion, coupled systems

Citation

Please cite this work as:

S. K. Hosseini Zad, M. R. Eslami. "Classical and Generalized Coupled Thermoelasticity of a Layer". ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 4 (2010). https://doi.org/10.1115/ESDA2010-25340

Or use the BibTeX citation:

@inproceedings{hosseinizad2010classical, author = {Hosseini Zad, S. K. and Eslami, M. R.}, title = {Classical and Generalized Coupled Thermoelasticity of a Layer}, booktitle = {ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 4}, series = {Engineering Systems Design and Analysis}, pages = {271--277}, year = {2010}, month = {07}, publisher = {ASME}, doi = {10.1115/ESDA2010-25340}, url = {https://doi.org/10.1115/ESDA2010-25340} }