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A [90/0]_s composite laminate with part-through matrix cracks in adjacent plies

机译：[90/0] _s复合层压板，在相邻层中具有部分贯穿的基质裂纹

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摘要

A [90/0], orthotropic composite laminate with part-through matrix cracks is considered. Stress intensity factors are determined for the cracks using a linear-elastic analysis. These matrix cracks run along the fiber direction of the individual plies. The crack- geometry considered here is one where the matrix cracks in adjacent plies form a cross-like pattern in the plan view of the laminate. The plies are assumed bonded by thin resin-rich adhesive layers. These adhesive layers are modeled as distributed shear springs. Each ply of the laminate is modeled as a thin elastic orthotropic layer under plane stress. The laminate is subject to both tensile and shear loading. The mathematical model for the stresses and displacements in the layers reduces to a pair of Fredholm integral equations which are solved numerically. The stress intensity factors show a strong dependence on crack--sizes and nature of loading. In particular, the magnitudes of the stress intensity factors for the matrix crack in the 0° layer are increased significantly by the crack in the adjacent 90° layer.
机译：考虑到[90/0]正交各向异性复合材料层压板具有部分贯穿的基质裂纹。使用线性弹性分析确定裂纹的应力强度因子。这些基体裂纹沿着各个层的纤维方向延伸。这里考虑的裂纹几何形状是在层压板的平面图中相邻层中的基体裂纹形成十字形图案的几何形状。假定这些层片是由富含树脂的薄粘合剂层粘合的。这些粘合剂层被建模为分布式剪切弹簧。层压板的每个层都被建模为在平面应力下的弹性正交各向异性薄层。层压板同时承受拉伸和剪切载荷。层中应力和位移的数学模型简化为一对Fredholm积分方程，可以通过数值求解。应力强度因子显示出对裂纹大小和载荷性质的强烈依赖性。尤其是，0°层中的基体裂纹的应力强度因子的大小会由于相邻90°层中的裂纹而大大增加。

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