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Operator split methods for the numerical solution of the elastoplastic dynamic problem

Ortiz, Miguel and Pinsky, Peter M. and Taylor, Robert L. (1983) Operator split methods for the numerical solution of the elastoplastic dynamic problem. Computer Methods in Applied Mechanics and Engineering, 39 (2). pp. 137-157. ISSN 0045-7825. https://resolver.caltech.edu/CaltechAUTHORS:20180105-153718420

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Abstract

The elastoplastic dynamic problem is first formulated in a form that facilitates the application of product formula techniques. The additive decomposition of the dynamic equations into elastic and plastic parts is taken as a basis for the definition of product algorithms that exploit such decomposition. In the context of a finite element discretization, these product algorithms entail, for every time step, the solution of an elastic problem followed by the application of plastic algorithms that operate on the stresses and internal variables at the integration points and bring in the plastic constitutive relations. Suitable plastic algorithms are discussed for the cases of perfect and hardening plasticity and viscoplasticity. The proposed formalism does not depend on any notion of smoothness of the yield surface and is applicable to arbitrary convex elastic regions, with or without corners. The stability properties of the product algorithm are identical to those of the elastic algorithm used whereas the computational expense is practically equal to that of an elastic problem.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0045-7825(83)90018-XDOIArticle
https://www.sciencedirect.com/science/article/pii/004578258390018XPublisherArticle
ORCID:
AuthorORCID
Ortiz, Miguel0000-0001-5877-4824
Additional Information:© 1983 Elsevier. Received 1 April 1982. Revised manuscript received 18 February 1983.
Group:GALCIT
Issue or Number:2
Record Number:CaltechAUTHORS:20180105-153718420
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180105-153718420
Official Citation:Miguel Ortiz, Peter M. Pinsky, Robert L. Taylor, Operator split methods for the numerical solution of the elastoplastic dynamic problem, In Computer Methods in Applied Mechanics and Engineering, Volume 39, Issue 2, 1983, Pages 137-157, ISSN 0045-7825, https://doi.org/10.1016/0045-7825(83)90018-X. (http://www.sciencedirect.com/science/article/pii/004578258390018X)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84153
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:08 Jan 2018 19:19
Last Modified:24 Feb 2020 10:30

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