应变度量及其一般变换关系
Strain Measures and Their General Transformation Relations
DOI: 10.12677/IJM.2020.94018, PDF,    国家自然科学基金支持
作者: 吕凤悟, 马锦明：同济大学土木工程学院，上海
关键词: 应变度量；物质应变；空间应变；Seth-Hill应变；Strain Measure； Material Strain； Spatial Strain； Seth-Hill Strain
摘要: 应变是固体力学中最重要的基本概念之一，直接影响几何方程和物理方程的建立，本文从基于变形梯度分解的基本运动学关系和变形张量入手，阐述讨论了Seth-Hill广义应变度量函数的本质和含义，推导了相同构型不同应变度量之间以及不同构型应变度量之间的一般变换关系，为应变度量的变换和应用提供了算法依据。
Abstract: Strain, one of the most important fundamental concepts in mechanics, directly affects the estab-lishment of geometric and constitutive equations. This paper reviews the essential kinematic rela-tions and the different stretch tensors within continuum based on the decomposition of the de-formation gradient. According to the definition of strain, the essence of Seth-Hill general strain measures is discussed. Furthermore, the general transformation relations between different strain measures in the same configuration are derived as well as those in different configurations to provide an algorithm basis for the transformation and application of strain measures.
文章引用：吕凤悟, 马锦明. 应变度量及其一般变换关系[J]. 力学研究, 2020, 9(4): 150-158. https://doi.org/10.12677/IJM.2020.94018

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