An Efficient Enrichment Approach for Fracture Simulations Using Element Free Galerkin Method

In the current work an approach to enhance the computational efficiency of element free Galerkin method (EFGM) has been proposed by modifying the usage of enrichment functions along with regional nodal density. Effective use of linear basis and fully enriched basis function has been proposed such that area near to tip utilizes fully enriched basis function which subsequently changes to linear basis function in a well-defined proposed way in moving away from the crack tip. Similarly, the regional near crack is discretised for high nodal density than the remaining region. This newly proposed scheme has been validated by evaluating the stress intensity factor for crack problems under thermoelastic loads. Obtained results from proposed scheme show good agreement with the results from literature and relatively took 58% less computational time thereby enhancing its computational efficiency. Also disadvantage of conventional EFGM in evaluating field variables inaccurately for non-convex domains has been overcome by the proposed criteria.