用S+R 分解对所得到的非线性运动方程进行简化
为了将本研究所得方程与常见的非线性运动方程对比, 最后, 对在大变形时求解一般形式运动方程的策略问题进行了讨论
） 摘要： 在理性力学中,变形的非线性运动方程是一个值得探讨的论题
对本研究而言, 把变形定义为几何场理论中拖带坐标基矢的变换
做为一个逻辑结果, 应变和应力就成为混合张量,其中上标对应于初始参考位形, 而下标对应于当前的变形后位形
本研究中, 在简单扼要的回顾混合应力张量后, 导出了相应的运动方程
而后
非线性运动方程
） Abstract： The non-linear motion equations of deformation are open problem for rational mechanics
For this research, the deformation is defined as the base vector transformation of commoving dragging coordinator system in geometrical field theory
As a logic conclusion, the strain and stress is defined as mixture tensors with the lower index related with current configuration and the upper index related with initial configuration
In this research, after a simply review about the mixture stress tensor, the corresponding motion equations are introduced
Then, the S+R decomposition is used to simplify the non-linear motion equations
To compare the general motion equations obtained in this research with the well-known non-linear motion equations, the motion equations in curvature coordinator systems are derived from general equations, respectively
Finally, the strategy to solve the general motion equations for large deformation is discussed
Keywords： rational mechanics; large deformation; local rotation; additive decomposition; non-linear motion equation; mixture stress tensor 下载PDF阅读器 PDF全文下载： 初稿 （ 160 ） 作者简介： Xiao Jianhua, (1962-),Male,Prof
Main Reseach Field: Geometrical field theory and rational mechanics
通信联系人： 【收录情况】 中国科技论文在线： 肖建华
大变形的混合应力张量和非线性运动方程[EB/OL]
北京：中国科技论文在线
河南 焦作 454000
大变形 XIAO Jianhua * （ Measurement Institute, Henan Polytechnic University, HeNan JiaoZuo 454000
总览 评价 肖建华 * （ 河南理工大学测绘学院
