Elastic-plastic analysis of multi-material structures using edge-based smoothed point interpolation method

Abstract

An edge-based smoothed point interpolation method is formulated to deal with elastic-plastic analysis of multi-material structures. The problem domain is discretized using triangular elements and field functions are approximated using point interpolation method shape functions. Edge-based smoothing domains are constructed based on the edge of triangular cells and smoothing operations are then performed in these integral domains. Numerical examples with different kinds of material models are investigated to fully verify the validity of the present method. It is observed that all edge-based smoothed point interpolation method models can achieve much better accuracy and higher convergence rate than the standard finite element method, when dealing with elastic-plastic analysis of multi-material structures.

Designing an efficient smoothed point interpolation method for modeling slope deformation

“…Zhou applied the node-based SPIM to solve electromagnetic-thermal problems (Zhou et al ., 2020). Feng utilized the edge-based SPIM to conduct the elastoplasticity analysis of multi-material structures (Feng et al ., 1989). For multi-material bodies, Feng applied the face-based SPIM to analyze their nonlinear heat conduction (Feng et al ., 2016b).…”