复合材料层合板的三维非线性分析
Nonlinear Three-Dimensional Analysis of Composite Laminated Plates
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摘要: 本文提出了一种研究复合材料层合板壳三维问题的解析方法。该方法采用摄动方法和变分原理来满足三维弹性理论基本微分方程及限制条件,分析了受横向载荷作用的复合材料各向异性单层圆板及层合圆板的三维非线性问题。得到了高精确度的摄动级数解答。大量结果表明横向剪应力和横向正应力在层合板的三维非线性分析中是很重要的。Abstract: In this paper. an analytic method is. presented. for the research of nonlinear Three-dimensional problems of composite laminated plates. The perturbation method and the variational principle are used to satisfy the basic differential equations and the boundary conditions of the three-dimensional theory of elasticity. The nonlinear three-dimensional problems are studied. for composite anisotropic circular laminas and laminates subjected to transverse loading. The perturbation series solutions of high accuracy are obtained. A large number of results show that transverse normal stress and transverse shear stresses are very important in the nonlinear three-dimensional analysis of laminated plates.
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Key words:
- three-dimensional problem /
- perturbation method /
- variationalprinciple /
- laminated plate /
- nonlinearity
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