复合材料多层板壳在非线性弹性失稳时的本构关系

CONSTITUTIVE RELATIONS FOR NONLINEAR ELASTIC BUCKLING OF LAMINATED PLATES AND SHELLS

摘要: 在研究复合材料的多层、夹层和加筋板壳的非线性弹性和塑性失稳问题时,需要用到失稳前的应力与应变之间和失稳时的应力增量与应变增量之间的非线性关系。复合材料在纤维断裂和基体开裂以前的物理非线性,主要是由基体引起的。本文对非线性弹性和处于主动塑性变形阶段的各向同性基体,采用小弹塑性变形理论,导得了应力与应变之间的各向同性非线性关系和应力增量与应变增量之间的各向异性非线性关系。假定纤维是线性弹性的。用复合材料的复合定律,求得了单向增强纤维复合材料层片的应力与应变之间和应力增量与应变增量之间的非线性关系。

Abstract: In order to investigate tire nonlinear elastic and plastic buckling problems of laminated, sandwiched and stiffened plates and shells of composite materials,the nonlinear relations between stress and strain before bucking and the nonlinear relations between stress increments and strain increments at buckling are to be established.