A Green-Naghdi Model in a 2D Problem of a Mode I Crack in an Isotropic Thermoelastic Plate

被引：0
作者：
I. A. Abbas
F. S. Alzahrani
机构：
[1] Sohag University,Department of Mathematics, Faculty of Science
[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics
来源：
Physical Mesomechanics | 2018年 / 21卷
关键词：
Green and Naghdi models; finite element method; mode I crack; thermoelasticity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：99 / 103
页数：4
相关论文
共 28 条
[1]  
Lord H.W.(1967)A Generalized Dynamical Theory of Thermoelasticity J. Mech. Phys. Solid. 15 299-309
[2]  
Shulman Y.(1972)Thermoelasticity J. Elasticity 2 1-7
[3]  
Green A.E.(1980)Generalized Thermoelasticity for Anisotropic Media Quart. Appl. Math. 38 1-8
[4]  
Lindsay K.A.(1993)Thermoelasticity without Energy Dissipation J. Elasticity 31 189-208
[5]  
Dhaliwal R.S.(1992)On Undamped Heat Waves in an Elastic Solid J. Therm. Stress 15 253-264
[6]  
Sherief H.H.(1991)A Re-Examination of the Basic Postulates of Thermomechanics Proc. Roy. Soc. Lond. A. Math. Phys. Sci. 432 171-194
[7]  
Green A.E.(2004)Thermoelastic Field of a Transversely Isotropic Elastic Medium Containing a Penny-Shaped Crack: Exact Fundamental Solution Int. J. Solid. Struct. 41 69-83
[8]  
Naghdi P.M.(2005)A Mode-I Crack Problem for an Infinite Space in Generalized Thermoelasticity J. Therm. Stress. 28 465-484
[9]  
Green A.E.(2003)An Internal Penny-Shaped Crack in an Infinite Thermoelastic Solid J. Therm. Stress. 26 333-352
[10]  
Naghdi P.M.(2013)A Two-Dimensional Problem of a Mode I Crack in a Type III Thermoelastic Medium Math. Mech. Solid. 18 506-523
123