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The effects of shear and near tip deformations on interface fracture of symmetric sandwich beams

机译：剪切和接近尖端变形对对称夹层梁界面骨折的影响

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摘要

The effects of shear on energy release rate and mode mixity in a symmetric sandwich beam with isotropic layers and a debond crack at the face-sheet/core interface are investigated through a semi-analytic approach based on two-dimensional elasticity and linear elastic fracture mechanics. The semi-analytic expressions for the shear components of energy release rate and mode mixity phase angle which have been derived in Li et al. (2004) for bi-material beams are extended to sandwich beams and the necessary numerical coefficients derived through accurate finite element analyses. The expressions are combined with earlier results for sandwich beams subjected to bending moments and axial forces in order to obtain solutions for general loading conditions and for an extensive range of geometrical and material properties. The physical and mechanical significance of the terms of the energy release rate which depend on the shear forces are explained using structural mechanics concepts and introducing crack tip root rotations to account for the main effects of the near tip deformations. The results are applicable to laboratory specimens used for the characterization of the fracture properties of sandwich composites for civil, marine, energy and aeronautical applications, provided the lengths of the crack and the ligament ahead of the crack tip are above minimum lengths which are defined in the paper.
机译：通过基于二维弹性和线性弹性骨折力学的半分析方法研究了具有各向同性层对称夹层梁的剪切对对称夹层梁中的能量释放速率和模式混合的影响，并通过基于二维弹性和线性弹性骨折力学进行了半分析方法。 Li等人在Li等人衍生的能量释放率和模式混合相角的剪切分量的半分析表达。 （2004）对于双材料梁延伸到夹层光束，并且通过精确有限元分析来源的必要数量系数。表达式与前面的夹层梁与弯矩和轴向力的夹层梁组合，以便获得一般装载条件和广泛的几何和材料特性的溶液。使用结构力学概念来解释依赖于剪切力的能量释放速率的物理和机械意义，并引入裂缝尖端旋转，以解释近尖端变形的主要效果。结果适用于用于特征的实验室标本，用于表征用于民用，海洋，能量和航空应用的夹层复合材料的裂缝性能，条件是裂缝的长度和裂缝尖端前方的韧带的长度高于定义的最小长度本文。

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