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A FAMILY OF UNIFIED CLASSICAL VARIATIONAL PRINCIPLES IN COUPLED THERMOELASTO DYNAMICS
Author(s): 
Pages: 165-172
Year: Issue:  2
Journal: Acta Mechanica Sinica

Keyword:  热弹性理论 变分原理 有限元 热应力 高温结构设计;
Abstract: 对耦合热弹性动力学问题,迄今文献中只建立了Gurtin型合卷积的统一变分原理,其缺点是只适用于常系数的线性问题,且因含卷积而使实际数值离散和求解复杂化.文中首次成功地建立了耦合热弹性动力学问题经典型(不含卷积)统一变分原理族,其关键是建议了动态差分变换和初终值条件的新处理法.该方法可以推广到各向异性材料以及非线性问题上去,同时在应用有限元法离散和求解上都比较简便.
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