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复合材料的强度和稳定性理论中的几个近代问题
摘    要:本文论述了复合材料的强度和稳定性理论中的三个近代问题:复合材料迭层板的强度准则,多层复合材料圆柱壳的非线性稳定性理论,以及复合材料板的动力稳定性理论。关于迭层板的强度准则,论述了目前以张量多项式形式所表述的唯象性破坏准则,着重讨论和比较了各种近代理论在确定耦合系数方面的特点和差别。提出了近代理论中所存在的困难和发展趋势。在多层复合材料圆柱壳的非线性稳定性理论分析中,主要的问题在于如何研究和考虑那些非线性因素,诸如由材料的剪切模量所引起的物理非线性,横向剪切变形的影响,壳体结构的初始缺陷和几何非线性,以及前屈曲变形和边界支承条件的影响等。本文指出了考虑这些因素的方法以及它们的影响程度。复合材料板的动力屈曲性能研究是一个重要的近代研究方向。本文提出了关于复合材料本身的阻尼系数,纵向和转动惯性力影响,横向剪切效应,迭层板的初始几何缺陷,以及增强纤维的铺设方向等因素对于动力屈曲性能的影响。同时提出了计算这些影响的方法,指出这些因素在复合材料板的动力稳定性分析中有着重要作用。

关 键 词:复合材料  破坏准则  稳定性  动力稳定性

Some Advanced Problems In The Strength Criteria and The Stability Theory of Composite Materials
Authors:Zhou Cheng-ti
Institution:Zhou Cheng-ti
Abstract:In this paper,some basic problems and advanced investigations in the failure criteria of lamina,and nonlinear instability of the multilayered composite cylindrical shells as well as the dynamic instability behavior of composite laminates are discussed. The phenomenological theories of some current anisotropic failure criteria in the form of tensor po]ynomials are investigated.Both quadratic and cubic tensor polynomials failure criteria are introduced,and the discussion is made for the determination of the interaction coefficients of these different failure criteria of the composite laminates. In the analysis of nonlinear stability of multilayered composite cylindrical shells,the influence of physical nonlinearity caused by the material nonlinea- rities of shear modulas,and also the effect of transverse shearing deformation, together with the effect of prebuckling deformations under various boundary conditions play important roles in the buckling behavior of the composite shells. For the advanced study of the dynamic instability of composite laminated plates,the damping factor of the composite materials and also the influence of the coupling effect,inertia forces,transverse shear deformation,ply-angle of the reinforced fibre,and initial imperfections of the laminated plates are shown to be important in the dynamic buckling behavior of composite laminated plates.
Keywords:Composite material  Failure criteria  Stability  Dynamic stability
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