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Closed-form formulae for prediction of homogenized ply-properties and laminate thermo-elastic constants in symmetric laminates containing ply cracks in multiple orientations

机译:闭合型公式,用于预测均质化晶粒性和层压热弹性常数,其在多种取向上含有帘布层裂缝的对称层压板

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摘要

The aim of this study is to develop a novel model for predicting homogenized properties of a cracked ply in a symmetric laminate using the crack density and thickness of the ply. In doing so, the periodic boundary conditions are applied to the RVEs in a three-dimensional finite element model to calculate the thermo-elastic constants of symmetric laminates containing uniformly and non-uniformly spaced cracks under in-plane and out-of-plane loading conditions. On the other hand, homogenized material properties of the cracked ply are explicitly determined by averaging procedures for both stress and strain components. Using computed results and nonlinear least square fitting, an analytical formula is proposed to describe the mechanical properties of the cracked ply, which takes into account the effect of ply thickness, material properties and crack density. Different cracked laminates are tested to indicate the potential of the developed method in analyzing complex crack geometries in multiple orientations. Moreover, the applicability and accuracy of the suggested model are verified by comparing the results with those of experiments, variational approach and finite element method.
机译:本研究的目的是开发一种新型模型,用于预测使用裂缝密度和厚度的对称层压体中裂纹帘布层的均质化性质。在这样做时,周期性边界条件被施加到三维有限元模型中的圆形,以计算在平面内和外平面负载下均匀且不均匀的间隔裂缝的对称层压板的热弹性常数使适应。另一方面,通过对应力和应变成分的平均程序明确确定裂化层的均化材料性质。使用计算的结果和非线性最小二乘配件,提出了一种分析公式来描述裂纹的层的机械性能,这考虑了帘布层厚度,材料性质和裂纹密度的影响。测试不同的裂纹层压板以指示开发方法在多种方向上分析复杂裂缝几何形状的潜力。此外,通过将结果与实验,变分方法和有限元方法进行比较来验证建议模型的适用性和准确性。

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