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A GENERALIZED CLOSEST‐POINT‐PROJECTION METHOD FOR DEFORMATION‐NEUTRALIZED FORMULATION IN FINITE STRAIN PLASTICITY

M.J. SARAN (Department of Structural Mechanics, Chalmers University of Technology, Gothenburg, Sweden Present address: College of Engineering, ERC/NSM, Ohio State University, 1971 Neil Avenue, Columbus, OH 43210, USA.)
K. RUNESSON (Department of Structural Mechanics, Chalmers University of Technology, Gothenburg, Sweden)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 March 1992

Abstract

An implicit type algorithm for the integration of hypoelastic constitutive equations is proposed for large strain and large rotation conditions. Constitutive relations are derived in a deformation‐neutralized form. This provides the basis for integration in time resulting in an incremental tensor relation. Proposed algorithm can be considered as a generalization of the closest‐point‐projection method in the sense that the projection property applies to a ‘midstep’ rather than the final stress state. Hill's yield criterion under plane stress conditions suitable for metal‐forming applications is used in presented benchmark problems. Numerical results are discussed illustrating the accuracy of the algorithm for different values of the midstep parameter.

Keywords

Citation

SARAN, M.J. and RUNESSON, K. (1992), "A GENERALIZED CLOSEST‐POINT‐PROJECTION METHOD FOR DEFORMATION‐NEUTRALIZED FORMULATION IN FINITE STRAIN PLASTICITY", Engineering Computations, Vol. 9 No. 3, pp. 359-370. https://doi.org/10.1108/eb023872

Publisher

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MCB UP Ltd

Copyright © 1992, MCB UP Limited