TransientWaves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids

查看全文 作　　者：[1]J.N.Sharma;[1]N.K.Sharma;[1]K.K.Sharma 机构地区：[1]Department of Applied Sciences and Humanities,National Institute of Technology,Hamirpur-177005,India 出　　处：《Advances in Applied Mathematics and Mechanics》索引2011年第3卷第1期,共22页 摘　　要：This paper deals with the study of transient waves in a homogeneous isotropic,solid halfspace with a permeating substance in the context of the theory of generalized elasto-thermodiffusion.The halfspace is assumed to be disturbed due to mechanical loads acting on its boundary.The model comprising of basic governing differential equations and boundary conditions has been solved by employing Laplace transform technique.Noting that the second sound effects are short lived,the small time approximations of solution for various physical quantities have been obtained and the results are discussed on the possible wave fronts.In case of continuous and periodic loads acting at the boundary,the displacement is found to be continuous at each wave front while it is discontinuous in case of impulsive load.The temperature and concentration fields are found to be discontinuous at all the wave fronts.The displacement,temperature change and concentration deviation due to impulsive,continuous and periodic mechanical loads have also been evaluated in the physical domain at all times by employing numerical inversion technique of integral transform.The computer simulated numerical results have been presented graphically in respect of displacement,temperature change and concentration deviation for brass.A significant effect of mass diffusion has been observed on the behaviour of mechanical and thermal waves. 关 键 词：DIFFUSION Laplace transform small time approximations wave fronts