| 各种材料对称性下的二次弹性张量表示 |
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| 引用本文： | 宋固全,杨德品,郑泉水.各种材料对称性下的二次弹性张量表示[J].南昌大学学报(工科版),1990(2). |
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| 作者姓名： | 宋固全 杨德品 郑泉水 |
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| 作者单位： | 江西工业大学土木建筑系
(宋固全，杨德品)，江西工业大学土木建筑系(郑泉水) |
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| 摘 要： | 正交张量的多重层积在刻划弹性具有不同材料对称性时的表示方面起主要作用,本文利用由文献给出的正交张量多重层积性质,首次具体构造了对应二次弹性(不必是超弹性)材料对称性表示问题的正交张量多重层积典则表示.在这个结果的基础上很容易求得了二次弹性张量在对应32种晶类的各种对称性及横观同性、各向同性下的表示,这些结果表明,对应二次弹性(及二次超弹性)这些对称性中共有14类是独立的(包括各向同性).
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| 关 键 词： | 二次弹性 材料对称性 多重层积 |
REPRENTATION OF QUADRATIC ELASTICITY TENSORS UNDER VARIOUS MATERIAL SYMMETRY |
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| Song Guquan,Yang Depin,Zheng Quanshui.REPRENTATION OF QUADRATIC ELASTICITY TENSORS UNDER VARIOUS MATERIAL SYMMETRY[J].Journal of Nanchang University(Engineering & Technology Edition),1990(2). |
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| Authors: | Song Guquan Yang Depin Zheng Quanshui |
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| Affiliation: | Song Guquan;Yang Depin;Zheng Quanshui Department of Civil Engineering |
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| Abstract: | Layer product takes main part in aspect of describing elasticity rep-resentation under different material symmetry. This articls specifically structures can-onical repersentation of orthogonal tensor overlaps layer product corresponding toquadratic elasticity (need not be super--elasticity), utilizing properties of orthogonaltensors overlaps layer product given by paper. On basic of the result, we easilyobtain representation of quardratic elastic tensor under various symmetry corre-sponding to thirty-two crystal classes, traversely isotropic, isotropic. The resultshows that there are fourteen kinds of indepentent symmetry (inciuding isotropic) cor-responding to quadratic elasticity (and quadratic super-elasticity). |
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| Keywords: | quadratic elasticity material Symmetry overlaps layer plodcut |
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