Recently,Yu et al.(2014)proposed a new model in generalized thermoelasticity based on heat conduction with the memory-dependent derivative.The magneto-thermoelastic responses in a perfectly conducting thermoelastic so...Recently,Yu et al.(2014)proposed a new model in generalized thermoelasticity based on heat conduction with the memory-dependent derivative.The magneto-thermoelastic responses in a perfectly conducting thermoelastic solid half-space is investigated in the context of the above new theory.Normal mode analysis together with an eigenvalue expansion technique is used to solve the resulting non-dimensional coupled governing equations.The obtained solutions are then applied to a specific problem for thermoelastic half-space whose boundary is subjected to a time-dependent thermal shock and zero stress.The effects of the kernel function,time-delay parameter,magnetic field and thermoelastic coupling parameter on the variations of different field quantities inside the half-space are analyzed graphically.The results show that these parameters has significant influence on the variations of the considered variables.展开更多
文摘Recently,Yu et al.(2014)proposed a new model in generalized thermoelasticity based on heat conduction with the memory-dependent derivative.The magneto-thermoelastic responses in a perfectly conducting thermoelastic solid half-space is investigated in the context of the above new theory.Normal mode analysis together with an eigenvalue expansion technique is used to solve the resulting non-dimensional coupled governing equations.The obtained solutions are then applied to a specific problem for thermoelastic half-space whose boundary is subjected to a time-dependent thermal shock and zero stress.The effects of the kernel function,time-delay parameter,magnetic field and thermoelastic coupling parameter on the variations of different field quantities inside the half-space are analyzed graphically.The results show that these parameters has significant influence on the variations of the considered variables.
