微极弹性动力学中非保守力场问题的变分方法

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Variational Methods for the Problems of Nonconservative Force Fields in the Micropolar Elastodynamics

摘要: 本文利用卷和卷的交换性质给出并证明了微极弹性动力学中非保守力场问题的几种拟变分原理。本文结果还可以推广到非局部弹性介质和非局部微极弹性介质力学中去。

Abstract: Based on the properties of the convolution and the convolute commutation,some quasi-variational principles for the problems of nonconservative force field in the micropolar elastodynamics are given and verified in this paper.The theorem given in this paper can be applied to the theories of the nonlocal elastic mediums and the nonlocal micropolar elastic mediums.

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