ABSTRACT

A novel model of the generalized magneto-thermoelasticity with two-temperature theory is investigated. The memory-depended derivative (MDD) during the excitation processes by pulsed laser is established for a time-dependent material. The overlapping between an isotropic homogeneous thermoelastic half-space medium and the non-Gaussian laser pulse in one-dimensional space with time delay is obtained. The semi-infinite bounding surface of the elastic medium is taken as traction free and subject to a thermal shock problem in a time-dependent case. Laplace transformation technique is used to obtain the initial solutions of the main physical field which defined in the governing equations. The temporal complete solutions in Laplace time domain obtained by using the inversion method of the Laplace transform, to obtain the general solution (exact solution) for some physical quantities. Numerical results are performed with discussed for suitable elastic medium and illustrated graphically, taken into consideration the time-delay parameters.

摘要

研究了一种具有两温度理论的广义磁热弹性模型。脉冲激光激发过程中的记忆相关导数 (MDD) 是针对时间相关材料建立的。得到了各向同性均匀热弹性半空间介质与非高斯激光脉冲在一维空间中的时延重叠。弹性介质的半无限边界表面被认为是无牵引力的，在时间相关的情况下会受到热冲击问题的影响。拉普拉斯变换技术用于获得控制方程中定义的主要物理场的初始解。使用拉普拉斯变换的反演方法得到的拉普拉斯时域时间完全解，求一些物理量的通解（精确解）。考虑到时间延迟参数，对合适的弹性介质进行了讨论并以图形方式说明了数值结果。