Effect of rotation, magnetic field and a periodic loading on radial vibrations thermo-viscoelastic non-homogeneous media

Boundary value problems

Samy R Mahmoud¹  Khalil S Al-Basyouni¹  Ebraheem O Alzahrani² 

[1] Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt

关键词: rotation;    viscoelasticity;    periodic loading;    non-homogeneity;    magneto-thermo-elasticity;   

DOI  :  10.1186/s13661-014-0166-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, an analytical solution for the effect of the rotation in a magneto-thermo-viscoelastic non-homogeneous medium with a spherical cavity subjected to periodic loading is presented. The distribution of displacements, temperature, and stresses in the non-homogeneous medium in the context of generalized thermo-elasticity using GL (Green-Lindsay) theory is discussed and obtained in analytical form. The results are displayed graphically to illustrate the effect of rotation, relaxation, magnetic field, viscoelasticity, and non-homogeneity. Comparisons are made with the previous work in the absence of rotation and initial stress.

【 授权许可】

CC BY