Ortiz, M. and Simo, J. C. (1986) An analysis of a new class of integration algorithms for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering, 23 (3). pp. 353-366. ISSN 0029-5981. doi:10.1002/nme.1620230303. https://resolver.caltech.edu/CaltechAUTHORS:20180105-150600580
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Abstract
An accuracy analysis of a new class of integration algorithms for finite deformation elastoplastic constitutive relations recently proposed by the authors, is carried out in this paper. For simplicity, attention is confined to infinitesimal deformations. The integration rules under consideration fall within the category of return mapping algorithms and follow in a straightforward manner from the theory of operator splitting applied to elastoplastic constitutive relations. General rate-independent and rate-dependent behaviour, with plastic hardening or softening, associated or non-associated flow rules and nonlinear elastic response can be efficiently treated within the present framework. Isoerror maps are presented which demonstrate the good accuracy properties of the algorithm even for strain increments much larger than the characteristic strains at yielding.
Item Type: | Article | |||||||||
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Additional Information: | © 1986 John Wiley & Sons. Received 10 January 1985. Revised May 1985. | |||||||||
Group: | GALCIT | |||||||||
Issue or Number: | 3 | |||||||||
DOI: | 10.1002/nme.1620230303 | |||||||||
Record Number: | CaltechAUTHORS:20180105-150600580 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180105-150600580 | |||||||||
Official Citation: | Ortiz, M. and Simo, J. C. (1986), An analysis of a new class of integration algorithms for elastoplastic constitutive relations. Int. J. Numer. Meth. Engng., 23: 353–366. doi: 10.1002/nme.1620230303 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 84141 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Lydia Suarez | |||||||||
Deposited On: | 08 Jan 2018 21:18 | |||||||||
Last Modified: | 15 Nov 2021 20:17 |
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