Variable node higher-order XFEM for fracture modeling in orthotropic material

Abstract

A novel computational approach presented in this work to improve the accuracy and efficiency of fracture modeling in an orthotropic material medium. Extended finite element method (XFEM) with higher-order enrichment functions was employed at the different scale mesh topology. The approach combined variable node element concepts for different scale mesh connections and higher-order XFEM for accuracy and completeness of discontinuity domain. The proposed computational methodology was employed with in-house developed MATLAB code. Further, stochastic fracture studies were discussed for reliability of the cracked structures. Few numerical examples with multiple geometrical discontinuities were simulated to check the computational efficiency and accuracy.

Free vibration behaviour of cracked composite sandwich plate: Meta-modelling approach (HOXFEM-ANN)

“…Yufei et al [64] explored the SIF and higher-order factors near crack tip employing an over-deterministic field fitting technique. Dwivedi et al [65,66] employed higher-order crack tip enrichment functions to enhance the precision of natural frequency and SIF calculations for cracked orthotropic materials and laminated plates. These research studies have significantly improved the understanding of higher-order XFEM applications.…”