Adaptive phantom node method for three-dimensional crack propagation
In this paper,an adaptive phantom node method is developed in the framework of the finite element method(FEM),aiming at three-dimensional crack propagation.The proposed method describes the discontinuity at cracks by the technique of phantom nodes,and the crack tip enrichment functions(and the corresponding extra degrees of freedom)are not needed.The geometrical description and tracking of the extending three-dimensional crack surfaces are treated by the element-local level set method.To accelerate the computation,adaptive mesh refinement along with crack surface extension is proposed.The hanging nodes present in the locally refined mesh is treated by the simple technique of constrained approximation,and no extra degrees of freedom or special elements are involved.Numerical implementation of the presented adaptive phantom node method is convenient and its robustness is comparable to the standard FEM.Numerical results show that the proposed method is able to simulate three-dimensional crack propagation and it can be conveniently applied to model multiple cracks propagating in complex engineering structures.
crack propagationadaptive mesh refinementphantom node methodextended finite element methodthree-dimensional cracks
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