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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。
In studying the nonlinear elastic and plastic instability problems of multi-layer, sandwich and stiffened plates, it is necessary to use the stress increments and strain increments between the pre-destabilizing stress and strain and the instability Non-linear relationship between. The physical nonlinearity of composite materials before fiber breakage and matrix cracking is mainly caused by the matrix. In this paper, the nonlinear elastic and the isotropic matrix in active plastic deformation stage, using the theory of small elastic plastic deformation, leads to the isotropic nonlinear relationship between stress and strain and the stress increment and strain increment Non-linear anisotropy. The fiber is assumed to be linearly elastic. The composite law of composite materials, obtained unidirectional reinforced fiber composite sheet stress and strain and stress increments and strain increments between the non-linear relationship.