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Numerical simulation of large strain fracture problems using X-FEM

机译:使用X-FEM进行大应变断裂问题的数值模拟

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摘要

Fracture of rubber-like materials is still an open problem. Indeed, it deals with issues related to the fracture itself (crack growth law, stress singularity around the crack tip), and also issues related to the bulk material behaviour (non-linear elasticity, large strain, incompressibility). The present study focuses on the application of the extended Finite Element Method (X-FEM) to the large strain fracture mechanics, under plane stress conditions. Two important aspects of this problem are investigated: the formulation used to solve the problem and the determination of suitable enrichment functions. The method is compared with Abaqus to demonstrate its robustness and capabilities for large strain problems.
机译:橡胶状材料的断裂仍然是未解决的问题。确实,它涉及与裂缝本身有关的问题(裂缝增长规律,裂缝尖端周围的应力奇异性),还涉及与整体材料行为有关的问题(非线性弹性,大应变,不可压缩性)。本研究的重点是在平面应力条件下将扩展有限元方法(X-FEM)应用于大型应变断裂力学。研究了该问题的两个重要方面:用于解决该问题的公式和确定合适的富集函数。该方法与Abaqus进行了比较,以证明其在大型应变问题上的鲁棒性和功能。

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