基于扩展有限元法的纤维取向角对复合材料板应力强度因子的影响

Maha Kahyoosh, R. Laftah, A. Nassar
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引用次数: 2

摘要

本文研究了纤维取向角对含不同长度单边、中心和倾斜裂纹的环氧碳复合材料板在拉伸载荷作用下应力强度因子SIF的影响。分别计算了每种情况下的应力强度因子和形状因子,并使用扩展有限元法XFEM概念计算了9种不同的纤维取向角。应力强度因子随裂纹长度的增加而增大,而形状因子随裂纹长度的增加而减小。在单边裂纹情况下,不同纤维取向角复合材料板的SIF平均增加了173%,而在中心裂纹情况下,SIF平均增加了81%。本研究观察到,当纤维取向角为75°时,不同裂纹长度的复合材料板的应力强度因子的增大和形状因子的减小更为稳定。在75°角处,SIF值较高是因为在75°角处,除了纤维-基体界面处的拉应力外,由于诱导的剪切应力,纤维滑移的可能性很大。因此,裂纹尖端具有较高的应力强度因子。
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Effect of Fiber Orientation Angle on Stress Intensity Factor of Composite Plate Using Extended Finite Element Method (XFEM)
This paper presents the effect of fiber orientation angle on the stress intensity factor SIF for carbon epoxy composite plates with single-edge, center, and inclined cracks of varying lengths under tensile load. The stress intensity factor and shape factor were calculated individually for each case, with nine different fiber orientation angles computed using the extended finite element method XFEM concepts. It is found the stress intensity factor increases with increasing crack lengths while the shape factor decreases. In the case of single edge cracks, the SIF increases in the average value reached (173 %) for composite plates with different fiber orientation angles, while in the case of the center crack, the average value of SIF reaches (81 %). It was observed in this study that the increases in stress intensity factor and the decreases in the shape factor with different crack lengths were more stable in the composite plate with a fiber orientation angle of 75°. The higher values of SIF at an angle of 75° are because of the high probability of fiber slippage at 75° due to induced shear stresses in addition to the tensile stresses at the fiber-matrix interface. As a result, the crack tip has a high-stress intensity factor.
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