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各向同性弹性力学求解新体系正交关系的研究
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.
作者姓名:罗建辉  刘光栋  尚守平
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
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。

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
Luo Jianhui,Liu Guangdong,Shang Shouping.RESEARCH ON THE ORTHOGONALITY RELATIONSHIP OF A NEW SYSTEMATIC METHODOLOGY FOR ISOTROPIC THEORY OF ELASTICITY[J].Acta Mechnica Solida Sinica,2004,25(1):98-100.
Authors:Luo Jianhui  Liu Guangdong  Shang Shouping
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 .
Keywords:theory of elasticity  dual vectors  orthogonality relationship
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