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中文核心期刊

GN理论下受到移动内热源的半空间问题的研究

Transient Disturbance In A Half-Space Due To Moving Line Heat Source Using Thermoelasticity Without Energy Dissipation

  • 摘要: 运用无能量耗散的热弹性GN理论研究了受到移动内热源的半空间问题.通过势函数法使问题转化成一组偏微分方程,采用Laplace变换和Fourier变换法得到问题在变换域内表面位移精确解.运用级数展开法得到在小时间范围内表面位移的近似解.给出近似解的适用范围,同时给出热源固定不动和非耦合理论下问题的解.并对铜介质进行了数值计算.

     

    Abstract: In this paper transient problem created by a line heat sourcethat suddenly starts moving with auniform velocity inside isotropic homogeneous thermoelastic half-spaceare studied using the GN theory of generalized thermoelasicity.The problem is reduced to the solution of three differential equationsby introducing the elastic and the thermoelastic potentials. Using theLaplace and Fourier transforms, the solutions are first obtained in thetransform domain. Applying the inverse transforms, the approximatesolutions, valid in short time range, are then derived. Thedisplacements are calculated at the boundary for short time. Also theapproximate region valid for the solutions is given and two specialcases, (i) the source is motionless and (ii) the uncoupled theory, arestudied. Numerical evaluations are presented for the medium of copper.

     

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