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Floating stress‐point integration meshfree method for large deformation analysis of elastic and elastoplastic materials
Author(s) -
Onishi Y.,
Amaya K.
Publication year - 2012
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4321
Subject(s) - meshfree methods , material point method , finite element method , deformation (meteorology) , virtual work , galerkin method , point (geometry) , mathematics , diffuse element method , stress (linguistics) , computer science , structural engineering , mixed finite element method , geometry , materials science , engineering , finite element limit analysis , composite material , linguistics , philosophy
SUMMARY A new meshfree formulation of stress‐point integration, called the floating stress‐point integration meshfree method, is proposed for the large deformation analysis of elastic and elastoplastic materials. This method is a Galerkin meshfree method with an updated Lagrangian procedure and a quasi‐implicit time‐advancing scheme without any background cell for domain integration. Its new formulation is based on incremental equilibrium equations derived from the incremental virtual work equation, which is not generally used in meshfree formulations. Hence, this technique allows the temporal continuity of the mechanical equilibrium to be naturally achieved. The details of the new formulation and several examples of the large deformation analysis of elastic and elastoplastic materials are presented to show the validity and accuracy of the proposed method in comparison with those of the finite element method. Copyright © 2012 John Wiley & Sons, Ltd.