论连续体力学非线性场论中有限转动的表现

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On the Representation of Finite Rotation in Nonlinear Field Theory of Continuum Mechanics

摘要: 连续体力学发展中的一个重要基本理论问题就是如何从位移场确定场中每一点的应变与转动。经过近年来的研究与各方面探讨,已经证明S-R分解定理的理论价值,在今后连续体力学发展中将具有重要的作用。本文目的在于澄清变形体有限转动的一些基本概念,促进应用进展。

Abstract: One of the important basic theoretical problems in the development of continuum mechanics is the separation of finite strain and finite rotation at a point in the displacement field. Now it is certain that S-R decomposition theorem provides a rational theoretical solution for this problem. The purpose of this paper is to clarify some misleading basic concepts of finite rotation of deformed body in current literature, and to promote further progress.

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