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Stochastic nonlinear failure analysis of laminated composite plates under compressive transverse loading

机译:压缩复合材料层合板随机非线性破坏分析

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摘要

This paper present the second ordered statistics of first-ply failure response of laminated composite plate with random material properties under random loading. The basic formulation is based on higher order shear deformation plate theory (HSDT) with the geometrically nonlinearity in the von-Karman. The direct iterative based C~0 nonlinear finite element method combined with mean centered first order perturbation technique developed by the authors are extended and successfully applied nonlinearity for failure problem with a reasonable accuracy to predict the second order statistics (standard deviation) of first-ply failure response using Tsai-Wu and Hoffman failure criterion with macroscopic analysis. Typical numerical results for various combinations of boundary conditions, plate thickness ratios, aspect ratios, laminates scheme and layers, elastic modulus ratios have been presented to illustrate the application of developed procedure. Some new results are presented and examined which clearly demonstrated the importance of the randomness in the system parameters in the failure response of the structures subjected to transverse loadings.
机译:本文给出了随机载荷作用下具有随机材料特性的复合材料层合板第一层破坏响应的二阶统计量。基本公式是基于具有von-Karman几何非线性的高阶剪切变形板理论(HSDT)。作者开发的基于直接迭代的C〜0非线性有限元方法与平均中心一阶扰动技术相结合,成功地将非线性用于故障问题并以合理的精度成功地应用于第一层的二阶统计量(标准差)。使用Tsai-Wu和Hoffman失效准则进行宏观分析的失效响应。给出了边界条件,板厚比,长宽比,层压方案和层,弹性模量比的各种组合的典型数值结果,以说明所开发程序的应用。提出并检查了一些新结果,这些结果清楚地证明了系统参数随机性在承受横向载荷的结构的失效响应中的重要性。

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