Semi-analytical modelling of buckling driven delamination in uniaxially compressed damaged plates

Semi-analytical modelling of buckling driven delamination in uniaxially compressed damaged plates
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单轴压缩损伤板屈曲驱动分层的半解析建模

DOI:
10.1093/imamat/hxq062
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发表时间:
2010
影响因子:
1.2
通讯作者:
Wadee M
Wadee M
中科院分区:
数学4区
文献类型:
--
作者:
Wadee M

文献摘要

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本文建立了一个几何非线性模型,研究了含脱层板在单轴压缩下的屈曲行为。基于三角形离面位移函数的Rayleigh-Ritz方法与势能原理相结合来描述屈曲和后屈曲响应。该配方是增强与引入一个离散的内聚区模型,以允许进一步加载下的分层增长。不同的情况下进行了研究与剩余能力的板被评估在附近的过渡深度的脱层,其中的后屈曲行为的变化从薄膜的混合模式的全球屈曲。该模型与商业有限元代码Abaqus和标准进行了验证,提出了这样的组件可以利用超出临界载荷。
A geometrically nonlinear model is developed to investigate the buckling behaviour of plates with a pre-existing delamination under uniaxial compression. The Rayleigh–Ritz procedure, based on trigonometric out-of-plane displacement functions, is used in conjunction with potential energy principles to describe the buckling and postbuckling response. The formulation is enhanced with the introduction of a discrete cohesive zone model to allow the delamination to grow under further loading. Different cases are investigated with residual capacities of the plates being evaluated in the neighbourhood of a transitional depth of delamination, where the postbuckling behaviour changes from thin film to mixed mode to global buckling. The model is validated with the commercial finite-element code Abaqus and criteria are proposed such that the component may be exploited beyond the critical loads.