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有孔隙的耦合热弹性体动力学的一些基本原理

有孔隙的耦合热弹性体动力学的一些基本原理

  • 摘要: 根据对偶互补的基本思想,通过作者在文[1]中所提出的一条简单而统一的新途径,系统地建立了有孔隙的耦合热弹性体动力学的一些基本原理.文中首先给出一个重要的以卷积表示的积分关系式,可以认为,在力学上它是一个广义虚功原理的表式.然后从该式出发,不仅可以得到有孔隙的耦合热弹性体动力学的虚功原理和互等定理,而且能系统地导出成互补关系的11类变量、9类交量、6类变量及3类变量简化Gurtin型变分原理.同时,通过这条新途径,还能清楚地阐明这些原理之间的内在联系.

     

    Abstract: According to the basic idea of dual-complementarity, in a simple and unified new way proposed by the author ̄1 , some basic principles in dynamic theory of thermoelastic materials with voids can be established systematically. In this paper, an important integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in dyn...

     

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