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ON DISCONTINUTIES IN THERMOELASTIC PLANE WAVES WITHOUT ENERGY DISSIPATION DUE TO A THERMO-MECHANICAL SHOCK

机译:热力冲击导致的热能平面波中的不连续性没有能量耗散

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摘要

The present paper deals with the thermoelastic plane waves due to a thermo-mechanical shock in the form of pulse at the boundary of a homogeneous, isotropic thermoelastic half-space. The field equations of the Green-Naugdhi theory without energy dissipation for an thermoelastic solid in the generalized thermoelasticity theory are written in the form of a vector-matrix differential equation using Laplace transform techniques and then solved by an eigenvalue approach. Exact expressions for the considered field variables are obtained and presented graphically for copper-like material. The characteristic features of the present theory are analyzed by comparing these solutions with their counterparts in other generalized thcrmoelasticity theories.
机译:本文研究了在均质各向同性热弹性半空间边界处以脉冲形式发生的热机械冲击引起的热弹性平面波。使用拉普拉斯变换技术,以矢量-矩阵微分方程的形式编写广义热弹性理论中不带能量耗散的格林-诺格迪理论的场方程,该方程不使用能量耗散,而是通过特征值方法求解。获得了所考虑的场变量的精确表达式,并以图形方式显示了类似铜的材料。通过将这些解决方案与其他广义热弹性理论中的相应解决方案进行比较,分析了本理论的特征。

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