A Green-Naghdi Model in a 2D Problem of a Mode I Crack in an Isotropic Thermoelastic Plate
- Authors: Abbas I.A.1,2, Alzahrani F.S.2
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Affiliations:
- Department of Mathematics, Faculty of Science
- Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics
- Issue: Vol 21, No 2 (2018)
- Pages: 99-103
- Section: Article
- URL: https://journals.rcsi.science/1029-9599/article/view/192059
- DOI: https://doi.org/10.1134/S1029959918020017
- ID: 192059
Cite item
Abstract
In this article, the generalized thermoelastic theory under Green and Naghdi models are used to study the thermoelastic interaction in an isotropic material containing a finite crack inside the material. The crack boundary is due to a prescribed temperature and stress distribution. Based on the Green-Naghdi type II and type III models, the formulation is applied to generalized thermoelasticity with an appropriate choice of parameters. Numerical solutions of the displacement components, temperature, and stress components are obtained using the finite element method. The results have been verified numerically and are represented graphically. Comparisons were made with expected results from Green and Naghdi model of type III and Green and Naghdi model of type II.
About the authors
I. A. Abbas
Department of Mathematics, Faculty of Science; Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics
Author for correspondence.
Email: ibrabbas7@yahoo.com
Egypt, Sohag, 82524; Jeddah, 21589
F. S. Alzahrani
Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics
Email: ibrabbas7@yahoo.com
Saudi Arabia, Jeddah, 21589