Duality relations, correspondences and numerical results for planar elastic composites

J.Helsing; G.W.Milton; A.B.Movchan

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Duality relations, correspondences and numerical results for planar elastic composites

机译：平面弹性复合材料的对偶关系，对应关系和数值结果

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This paper addresses three topics relating to planar elastic composites with anisotropic phases. First, the duality relations of Berdichevski are generalized to a wider class of planar elastic media. These yield phase interchange relations for the effective compliance tensors of certain two phase media. Second, a simple derivation is given of the correspondence between a specific class of planar elastic problems, and the associated pairs of antiplane elastic problems.

机译：本文涉及与各向异性相的平面弹性复合材料有关的三个主题。首先，将Berdichevski的对偶关系推广到更广泛的一类平面弹性介质。对于某些两相介质的有效顺应张量，这些屈服相交换关系。其次，给出了特定类别的平面弹性问题与相关的一对反平面弹性问题之间的对应关系的简单推导。

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来源
《Journal of the Mechanics and Physics of Solids》 |1997年第4期|p.565-590|共26页
作者
J.Helsing; G.W.Milton; A.B.Movchan;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类固体力学;
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3. A DUALITY PRINCIPLE AND CORRESPONDENCE RELATIONS IN ELASTICITY [J] . Nematnasser S., Ni L. International Journal of Solids and Structures . 1995,第3a4期

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7. Duality Relations, Correspondences, and Numerical Results for Planar Elastic Composites [O] . J. Helsing, G.W. Milton, A. B. Movchan 2007

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8. Duality Principle and Correspondence Relations in Elasticity [R] . Nemat-Nasser, S., Ni, L. 1995

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Duality relations, correspondences and numerical results for planar elastic composites

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