Computational anisotropic hardening multiplicative elastoplasticity based on the corrector elastic logarithmic strain rate

Sanz Gomez, Miguel Angel and Montans Leal, Francisco Javier and Latorre Ferrus, Marcos (2017). Computational anisotropic hardening multiplicative elastoplasticity based on the corrector elastic logarithmic strain rate. "Computer Methods in Applied Mechanics and Engineering", v. 320 ; pp. 82-121. ISSN 0045-7825. https://doi.org/10.1016/j.cma.2017.02.027.

Description

Title: Computational anisotropic hardening multiplicative elastoplasticity based on the corrector elastic logarithmic strain rate
Author/s:
  • Sanz Gomez, Miguel Angel
  • Montans Leal, Francisco Javier
  • Latorre Ferrus, Marcos
Item Type: Article
Título de Revista/Publicación: Computer Methods in Applied Mechanics and Engineering
Date: June 2017
ISSN: 0045-7825
Volume: 320
Subjects:
Freetext Keywords: Anisotropic elastoplasticity; Large strains; Logarithmic strains; Plastic flow rule; Soft materials
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we present a new computational framework for anisotropic elastoplasticity with mixed hardening which presents the following characteristics: (1) it is motivated by a one-dimensional rheological model where the main differences are due to geometric nonlinearities and three-dimensional effects; (2) it uses the Lee multiplicative decomposition; (3) it is valid for anisotropic yield functions; (4) it is valid for any anisotropic stored energy, either linear or nonlinear in logarithmic strains; (5) it is valid for (non-moderate) large elastic strains; (6) it results in a six-dimensional additive corrector update, parallel to that of the infinitesimal theory; (7) it does not explicitly employ plastic strain tensors or plastic metrics, circumventing definitely the “rate issue”; (8) the incremental plastic flow is isochoric using a simple backward-Euler scheme, without explicitly using exponential mappings; (9) no hypothesis is needed for the plastic spin in order to integrate the symmetric flow derived from the dissipation equation; (10) the Mandel stress tensor plays no role in the formulation; (11) it yields a fully symmetric algorithmic linearization consistent with its associative nature and the principle of maximum dissipation; and (12) it recovers the formulation of Simó for isotropy as a particular case.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainDPI2015-69801-RUnspecifiedUnspecifiedUnspecified
Government of SpainPRX15/00065UnspecifiedUnspecifiedUnspecified

More information

Item ID: 53044
DC Identifier: http://oa.upm.es/53044/
OAI Identifier: oai:oa.upm.es:53044
DOI: 10.1016/j.cma.2017.02.027
Official URL: http://www.sciencedirect.com/science/article/pii/S0045782516312610
Deposited by: Memoria Investigacion
Deposited on: 22 Nov 2018 13:06
Last Modified: 29 Apr 2019 14:41
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