Electro-magnetic waves in generalized thermo-viscoelasticity for different theories

被引:15
作者
Ezzat, Magdy A. [1 ]
El-Karamany, Ahmed S. [2 ]
El-Bary, Alaa A. [3 ]
机构
[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt
[2] Nizwa Univ, Dept Math & Phys Sci, Nizwa, Oman
[3] Arab Acad Sci & Technol, Alexandria, Egypt
关键词
Generalized thermoelasticity; magneto-thermo-viscoelasticity; Lord-Shulman theory; the Green-Lindsay theory; chandrasekharaiah and tzou theory; coupled theory; state space approach; RECIPROCITY THEOREMS; HEAT-CONDUCTION; FORMULATION; THERMOVISCOELASTICITY; THERMOELASTICITY; UNIQUENESS;
D O I
10.3233/JAE-130177
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Some mathematical models of the equations of generalized magneto-thermo-viscoelasticty for isotropic media are given. The formulation is applied to each generalization of the Lord-Shulman theory, the Green-Lindsay theory and the Chandrasekharaiah and Tzou theory as well as to the coupled theory. The state space approach is adopted for the solution of problems in the absence or presence of heat sources. The Laplace-transform technique is used. A numerical method is employed for the inversion of the Laplace transforms. Numerical results for the stress distribution are given and illustrated graphically for each problem. Comparisons are made with the results predicted by the four theories.
引用
收藏
页码:95 / 111
页数:17
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