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基于各向异性双材料界面断裂力学理论,再根据D-B模型假设的有限裂纹尖端奇异性将消失,推导出复合材料分层裂纹尖端粘聚区长度的计算模型。结果显示复合材料分层裂纹尖端粘聚区具有振荡性(当振荡因子0时),并且粘聚区长度与裂纹长度、应力值及振荡因子有关。将新模型应用于界面单元法中,模拟了双悬臂梁(DCB)和混合型弯曲梁(MBB)分层扩展过程中的载荷-位移关系,并比较了不同的粘聚区长度对收敛性和计算精度的影响,结果表明该模型可较精确地计算复合材料的粘聚区长度,以此为基础划分网格能同时保证收敛性和计算精度要求,并可有效地节省运算时间。
Based on the theory of interfacial fracture mechanics of anisotropic bimaterials, the singularity of finite crack tip disappears according to the assumption of D-B model, and the calculation model of the cohesive zone length of delaminated crack tip in composite material is deduced. The results show that the cohesive zone at the tip of layered delamination has oscillation (when the oscillation factor is 0), and the cohesive zone length is related to crack length, stress value and oscillation factor. The new model was applied to the interface element method to simulate the load-displacement relationship of delaminated double-cantilevered beam (DCB) and hybrid curved beam (MBB), and compared the effect of different cohesive zone lengths on convergence and The results show that the model can calculate the cohesive zone length of composite more accurately. The meshing based on this model can ensure the convergence and the precision of calculation at the same time, and can effectively save the computing time.