摘要
本文从修正后的Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ变分原理出发，导出了由２１个弹性常数组成的各向异性材料的混合方程，井证明它们即是Ｈａｍｉｌｔｏｎ正则方程。由该统一形式还给出了角铺设材料和正交各向异性材料的Ｈａｎｉｌｔｏｎ正则形式。
By modifying the Hellinger-Reissner variational principle,the mixed state Hamiltonequation for the anisotropic materials made of twenty-one elastic constants is derived in thispaper.And from the unified formulation,the Hamilton canonical equations for angleply andorthotropic materials are also presented.
关键词
各向异性
弹性力学
哈密顿方程
Hamilton canonical equation,modified Hellinger-Reissner variational principle,anisotropic materials
