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中文摘要：
计及材料特性与温度的相关性，基于Lord和Shulman（L—S）广义热弹性理论，建立了此类问题的有限元控制方程．由于材料属性的温度相关性，温度控制方程具有非线性，积分变换求解方法难以采用，因而将有限元方程直接在时间域求解．利用所建立方法研究了材料特性与温度相关、带有孔洞的无限大体在热冲击和机械冲击作用下的广义热弹性问题．分析表明，在时间域直接求解材料属性与温度相关的广义热弹性问题是可行的，所得结果具有很高的精度，热的波动性得到充分的展现．同时发现，热冲击载荷作用时，材料属性与温度的相关性对结构的机械响应影响显著，对温度响应影响很小；机械载荷作用时，材料参数与温度的相关性对所有响应影响都很小．因此，研究热冲击载荷作用的机械响应时，必须考虑材料属性的温度相关性，而研究温度响应时，无论何种冲击载荷，都可以不考虑材料属性的温度相关性．
英文摘要：
Finite element nonlinear equations based on Lord-Shulman （L-S） generalized thermoelasticity theory are derived for elastic media with temperature-dependent properties and solved directly in time domain. A case of an infinite medium with a cylindrical hole under thermal and mechanical shock is analyzed with the developed method. The numerical results with temperature-dependent properties show the fluctuation of heat conduction and the efficiency of the time domain method in solving generalized thermoelastic problems. Furthermore, it also shows that the influence of temperature-dependent properties are more pronounced on mechanical response of the media with the thermal shock loading, rather than the mechanical shock.
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