Complementary Energy Method for Finite Deformation
Complementary Energy Method for Finite Deformation
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有限变形的补充能量法
DOI：
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发表时间：
1964
期刊：
影响因子：
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通讯作者：
C. Libove
中科院分区：
文献类型：
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作者：
C. Libove
本文对由线性或非线性弹性材料制成的具有有限位移、转动和应变的静载荷结构，提出了一种平稳余能原理。这个原理是基于一个类似于普通功的矢量定义的互补功的矢量定义。它是用来解决两个说明性的桁架问题，其中包括一个，即使是无穷小的变形不能确定由传统的余能法。的原则示出，包括传统的余能定理作为特殊情况下的无穷小变形。
A principle of stationary complementary energy is developed for statically loaded structures with finite displacements, rotations, and strains, made of material with linear or nonlinear elasticity. The principle is based on a vectorial definition of complementary work analogous to the vectorial definition of ordinary work. It is used to solve two illustrative truss problems, including one in which even the infinitesimal deformations cannot be determined by the conventional complementary energy method. The principle is shown to include the conventional complementary energy theorem for infinitesimal deformations as a special case.