Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion  

作　　者：Sunita Deswal Suman Choudhary 

机构地区：[1]Department of Mathematics,Guru Jambheshwar University of Science and Technology, Hisar 125001,Haryana,INDIA [2]Department of Mathematics,Govt.College,Nalwa (Hisar) 125037,Haryana,INDIA

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第2期207-221,共15页应用数学和力学（英文版）

摘　　要：The present paper is concerned with the investigation of disturbances in＇a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically.The present paper is concerned with the investigation of disturbances in＇a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically.

关 键 词：Eigen value approach vector matrix differential equation thermoelastic diffusion generalized thermoelasticity moving load Laplace and Fourier transforms 

分 类 号：O343.6[理学—固体力学]