Affiliations: [a] Department of Mathematics, Faculty of Education,
Alexandria University, Alexandria, Egypt | [b] Department of Mathematical and Physical Sciences,
Nizwa University, Nizwa, Oman | [c] Arab Academy for Science and Technology, Alexandria,
Egypt
Correspondence:
[*]
Corresponding author: Magdy A. Ezzat, Department of Mathematics, Faculty of science and letter in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi Arabia, Present address Department of Mathematics, Faculty of Education, Alexandria University,
Alexandria, Egypt.
E-mail: [email protected]
Abstract: 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.
Keywords: Generalized thermoelasticity, magneto-thermo-viscoelasticity, Lord-Shulman theory, the Green-Lindsay theory, chandrasekharaiah and tzou theory, coupled theory, state space approach
