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极分解的一类近似计算与比较
Alternative TitleA CLASS OF APPROXIMATE CALCULATION OF POLAR DECOMPOSITION AND THE CORRESPONDING COMPARISON
王足; 兑关锁; 王志乔
Source Publication固体力学学报
2010-04-15
Volume31Issue:2Pages:211-216
ISSN0254-7805
Abstract基于级数展开给出了极分解中右伸长张量U的级数表示, 通过对级数项的选取得到右伸长张量的不同近似表达式.针对不同级数展开表示, 得到表达式最小误差的级数展开形式.进而结合一些简单实例, 验证了近似公式的有效性.最后与文献[1]关于计算右伸长张量U和转动张量R的近似表达式进行了比较, 本文的级数展开方式得到的右伸长张量U和转动张量R的近似表达式不但简洁, 而且计算精度更高、适用范围更广.
Keyword级数展开 极分解 伸长张量 转动张量 近似表达
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Indexed ByEI ; CSCD
Language中文
Funding Organization国家自然科学基金项目(10772021,90205007)资助
CSCD IDCSCD:3913140
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/43970
Collection非线性力学国家重点实验室
Corresponding Author王足
Recommended Citation
GB/T 7714
王足,兑关锁,王志乔. 极分解的一类近似计算与比较[J]. 固体力学学报,2010,31(2):211-216.
APA 王足,兑关锁,&王志乔.(2010).极分解的一类近似计算与比较.固体力学学报,31(2),211-216.
MLA 王足,et al."极分解的一类近似计算与比较".固体力学学报 31.2(2010):211-216.
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