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蠕变理论的广义变分原理

THE GENERALIZED VARIATIONAL PRINCIPLES IN THEORY OF CREEP

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【作者】 邬瑞锋奚肖凤

【Author】 Wu Ruifeng Xi Xiaofeng (Department of Engineering Mechanics)

【机构】 大连工学院工程力学系大连工学院工程力学系

【摘要】 本文将(1)的拉格朗日乘子法推广应用于蠕变流动理论.得出一系列包括大位移变形的蠕变理论的广义变分原理。证明了  的两个从最小位能率原理和从最小余能率原理出发的变分原理是本文中两个广义变分原理的特殊情形,并证明了这两个变分原理是等价的.

【Abstract】 The present paper further applies the Lagrange multiplier method developing in to the flow theory of creep and get a series of generalized variational Principles for small and finite displacements in the theory of creep. Two of these derived variational principles in this paper are the generalized cases of two well-known variational principles of Kachanov. derived from the rate of minimum potential energy and from the rate of minimum complementary. energy. The equivalence of these two gene- ralized variational principles has been proved.

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