Modeling blocky nonlinear mechanics behavior on plasticity and progressive fractures with the enriched mesh free DDA method

Abstract

This study explores a new form of Discontinuous Deformation Analysis (DDA) method, which uses mesh free displacement functions instead of linear polynomial ones adopted in the original DDA, hence it can effectively describe complex block displacements and deformations. Moreover, the capability of describing a block's nonlinear mechanical behaviors, i.e., plasticity and fracture, are developed under classical fracture and increment plasticity mechanics theories. With consideration of computation efficiency and convenience, the Sibson natural neighbor interpolation technique for block plasticity analysis and the enriched Moving Least-Squares (MLS) approximation for block fracture analysis are employed, respectively. Numerical results show the applicability of the proposed mesh free DDA method.