| 各向同性弹性力学求解新体系正交关系的研究 |
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| 引用本文： | 罗建辉, 刘光栋, 尚守平. 各向同性弹性力学求解新体系正交关系的研究[J]. 固体力学学报, 2004, 25(1): 98-100. doi: 10.3969/j.issn.0254-7805.2004.01.019 |
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| 作者姓名： | 罗建辉 刘光栋 尚守平 |
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| 作者单位： | 湖南大学土木工程学院,长沙,410082; 湖南大学土木工程学院,长沙,410082; 湖南大学土木工程学院,长沙,410082 |
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| 摘 要： | 在弹性力学求解新体系中,将文献[3]对偶向量进行重新排序后,提出了一种新的对偶微分矩阵L,对于各向同性3维弹性力学问题发现了一种新的正交关系.文中证明了这种正交关系的成立.对于各向同性问题,新的正交关系包含文献[3]的正交关系.
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| 关 键 词： | 弹性力学 对偶向量 正交关系 |
RESEARCH ON THE ORTHOGONALITY RELATIONSHIP OF A NEW SYSTEMATIC METHODOLOGY FOR ISOTROPIC THEORY OF ELASTICITY |
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| RESEARCH ON THE ORTHOGONALITY RELATIONSHIP OF A NEW SYSTEMATIC METHODOLOGY FOR ISOTROPIC THEORY OF ELASTICITY[J]. Chinese Journal of Solid Mechanics, 2004, 25(1): 98-100. doi: 10.3969/j.issn.0254-7805.2004.01.019 |
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| Authors: | Luo Jianhui Liu Guangdong Shang Shouping |
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| Abstract: | In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by changing the order of the dual vectors in reference and a new orthogonality relationship is found and proved for isotropic problems of three-dimensional theory of elasticity. The new orthogonality relationship includes the orthogonality relationship in the Reference . |
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| Keywords: | theory of elasticity dual vectors orthogonality relationship |
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