On tracking arbitrary crack path with complex variable meshless methods

This study presents a numerical modelling framework based on complex variable meshless methods, which can accurately and efficiently track arbitrary crack paths in two-dimensional linear elastic solids. The key novelty of this work is that the proposed scheme enables direct element-free approximation for solutions fracture mechanics problems. moving least-squares with group simple polynomial basis applied to implement model, problems both stationary or progressive cracks are considered studied. effects choosing different definitions weighted error norm forms computational accuracy tip fields prediction analysed discussed. Five benchmark examples were studied demonstrate superiority present over standard Galerkin method tracking