An efficient augmented finite element method for arbitrary cracking and crack interaction in solids

摘要: SUMMARY This paper presents an augmentation method that enables bilinear finite elements to efficiently and accurately account for arbitrary, multiple intra-elemental discontinuities in 2D solids. The augmented element (A-FEM) employs four internal nodes the crack displacements due weak or strong discontinuity, it permits repeated elemental include interactive cracks. It thus a unified treatment of damage evolution from discontinuity cohesive cracks, all within single standard external nodal DoFs only. A novel condensation procedure has been developed solve as functions any irreversible, piece-wise linear laws. leads fully condensed equilibrium equation with mathematical exactness, eliminating need nonlinear iterations at level. new A-FEM's high-fidelity simulation capabilities formation propagation homogeneous, heterogeneous solids have demonstrated through several challenging numerical examples. is shown proposed A-FEM, empowered by procedure, numerically very efficient, accurate, robust. Copyright © 2014 John Wiley & Sons, Ltd.