An adaptive spacetime discontinuous Galerkin method for cohesive models of elastodynamic fracture

作者：Abedi Reza; Hawker Morgan A; Haber Robert B^*; Matous Karel

来源：International Journal for Numerical Methods in Engineering, 2010, 81(10): 1207-1241.

DOI：10.1002/nme.2723

• cohesive model
• fracture mechanics
• discontinuous Galerkin
• spacetime
• finite element
• elastodynamics
• adaptive remeshing

This paper describes an adaptive numerical framework for cohesive fracture models based on a spacetime discontinuous Galerkin (SDG) method for elastodynamics with elementwise momentum balance Discontinuous basis functions and jump conditions written with respect to target fraction values simplify The implementation of cohesive fraction-seperation laws on the SDG framework. no special cohesive elements or other algorithmic devices are required. We use unstructured spacetime grids in a h-adaptive implementation to adjust simultaneously the spatial and temporal resolutions Two independent error indicators drive the adaptive refinement One is a dissipation-based indicator that controls the accuracy of the solution in the bulk material, the second ensures the accuracy of the discrete rendering of the cohesive law Applications of the SDG cohesive model to elastodynamic fracture demonstrate the effectiveness of the proposed method and reveal a new solution feature an unexpected quasi-singular structure in the velocity response Numerical exa

• 出版日期2010-3-5