A hybrid method of coupling phase field model and linear elastic model to simulate fracture using cell-based smooth finite element method and finite element method

Abstract

The phase field model’s computational efficiency is increased in this work by connecting it to the linear elastic model. Firstly, the whole region is split up into many subregions, and each region’s mechanical characteristics determine which matching solution scheme to use. The linear elastic model lowers computational costs by allowing the use of rougher mesh and solving problems in non-crack areas. Only crack patterns inside the fracture propagation region may be predicted using the phase field model. Secondly, the model is implemented in a hybrid computational framework, which combines the computational efficiency of the cell-based smooth finite element technique (CSFEM) with the traditional finite element method (FEM). Lastly, illustrative instances are applied to verify the coupled model. The findings demonstrate that the energy and mechanical parameters for the coupled model and the pure phase field model coincide quite well. In addition to reducing computation time, the simulation findings of the coupled model are identical to those of the pure phase field model, and the fracture trajectories of the test samples are unaffected regardless of the failure modes.