The least-squares meshfree method for elasto-plasticity and its application to metal forming analysis

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A new meshfree method for the analysis of elasto-plastic deformation is presented. The method is based on the proposed first-order least-squares formulation for elasto-plasticity and the moving least-squares approximation. The least-squares formulation for classical elasto-plasticity and its extension to an incrementally objective formulation for finite deformation are proposed. In the formulation, equilibrium equation and flow rule are enforced in least-squares sense, i.e. their squared residuals are minimized, and hardening law and loading/unloading condition are enforced pointwise at each integration point. The closest point projection method for the integration of rate-form constitutive equation is inherently involved in the formulation, and thus the radial-return mapping algorithm is not performed explicitly. The proposed formulation is a mixed-type method since the residuals are represented in a form of first-order differential system using displacement and stress components as nodal unknowns. Also the penalty schemes for the enforcement of boundary and frictional contact conditions are devised and the reshaping of nodal supports is introduced to avoid the difficulties due to the severe local deformation near contact interface. The proposed method does not employ structure of extrinsic cells for any purpose. Through some numerical examples of metal forming processes, the validity and effectiveness of the method are discussed. Copyright (c) 2005 John Wiley & Sons, Ltd.
Publisher
JOHN WILEY & SONS LTD
Issue Date
2005-10
Language
English
Article Type
Article
Keywords

INCOMPRESSIBLE FINITE ELASTICITY; LARGE-DEFORMATION ANALYSIS; KERNEL PARTICLE METHOD; FREE GALERKIN METHOD; LINEAR ELASTICITY; NODAL INTEGRATION; ELEMENT METHOD; FORMULATION

Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.64, no.6, pp.751 - 788

ISSN
0029-5981
DOI
10.1002/nme.1384
URI
http://hdl.handle.net/10203/92045
Appears in Collection
ME-Journal Papers(저널논문)
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