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Crack face sliding displacement (CSD) as an input in exact GLOB-LOC expressions for in-plane elastic constants of symmetric damaged laminates
International Journal of Damage Mechanics ( IF 4.0 ) Pub Date : 2019-07-27 , DOI: 10.1177/1056789519866000
Mohamed Sahbi Loukil 1, 2 , Janis Varna 3
Affiliation  

The crack opening and crack sliding displacements of both faces of an intralaminar crack are the main parameters defining the significance of each crack in laminate stiffness degradation, according to the previously published GLOB-LOC approach for symmetric laminates with an arbitrary number of cracks in all plies. In the exact stiffness expressions of this approach, the crack density is always multiplied by crack opening displacement and crack sliding displacement. The dependence of crack opening displacement on geometrical and elastic parameters of adjacent plies was studied previously and described by simple fitting functions. The crack sliding displacement has been analyzed for low-crack densities only and the proposed finite element method-based fitting expressions are oversimplified not including the out-of-plane ply stiffness effects. Based on finite element method analysis, more accurate expressions for so-called non-interactive cracks are suggested in the presented article. For the first time the shear stress perturbations are analyzed and interaction functions are presented with the feature that they always lead to slightly conservative predictions. The presented simple fitting functions, when used in the GLOB-LOC model, give predictions that are in a good agreement with finite element method results and with experimental data for laminates with damaged off-axis plies in cases when crack face sliding is of importance. The significance of including crack sliding displacement in stiffness predictions is demonstrated.

中文翻译:

裂纹面滑动位移 (CSD) 作为精确 GLOB-LOC 表达式的输入,用于对称损坏层压板的面内弹性常数

根据先前发表的 GLOB-LOC 方法,层内裂纹两个面的裂纹张开和裂纹滑动位移是定义每个裂纹在层压板刚度退化中的重要性的主要参数,根据之前发布的所有层中具有任意数量裂纹的对称层压板的 GLOB-LOC 方法. 在这种方法的精确刚度表达式中,裂纹密度总是乘以裂纹张开位移和裂纹滑动位移。裂缝张开位移对相邻层的几何和弹性参数的依赖性先前已经研究过,并通过简单的拟合函数进行了描述。仅针对低裂纹密度分析了裂纹滑动位移,并且所提出的基于有限元方法的拟合表达式过于简化,不包括平面外层刚度效应。基于有限元方法分析,本文提出了更准确的非交互裂纹表达式。这是第一次分析了剪应力扰动,并以相互作用函数的形式呈现,它们总是导致略微保守的预测。所提出的简单拟合函数在 GLOB-LOC 模型中使用时,给出的预测与有限元方法结果以及在裂纹面滑动很重要的情况下具有损坏离轴层的层压板的实验数据非常吻合。证明了在刚度预测中包括裂纹滑动位移的重要性。这是第一次分析了剪应力扰动,并以相互作用函数的特征呈现,它们总是导致略微保守的预测。所提出的简单拟合函数在 GLOB-LOC 模型中使用时,给出的预测与有限元方法结果以及在裂纹面滑动很重要的情况下具有损坏离轴层的层压板的实验数据非常吻合。证明了在刚度预测中包括裂纹滑动位移的重要性。这是第一次分析了剪应力扰动,并以相互作用函数的形式呈现,它们总是导致略微保守的预测。所提出的简单拟合函数在 GLOB-LOC 模型中使用时,给出的预测与有限元方法结果以及在裂纹面滑动很重要的情况下具有损坏离轴层的层压板的实验数据非常吻合。证明了在刚度预测中包括裂纹滑动位移的重要性。在裂纹面滑动很重要的情况下,给出的预测与有限元方法的结果和具有损坏离轴层的层压板的实验数据非常一致。证明了在刚度预测中包括裂纹滑动位移的重要性。在裂纹面滑动很重要的情况下,给出的预测与有限元方法的结果和具有损坏离轴层的层压板的实验数据非常一致。证明了在刚度预测中包括裂纹滑动位移的重要性。
更新日期:2019-07-27
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