Plane-stress constrained multiplicative hyperelasto-plasticity with nonlinear kinematic hardening. Consistent theory based on elastic corrector rates and algorithmic implementation

Nguyen, Gia Khanh and Sanz Gomez, Miguel Angel and Montans Leal, Francisco Javier (2019). Plane-stress constrained multiplicative hyperelasto-plasticity with nonlinear kinematic hardening. Consistent theory based on elastic corrector rates and algorithmic implementation. "International Journal of Plasticity", v. 128 ; pp. 1-20. ISSN 0749-6419. https://doi.org/10.1016/j.ijplas.2019.08.017.

Description

Title: Plane-stress constrained multiplicative hyperelasto-plasticity with nonlinear kinematic hardening. Consistent theory based on elastic corrector rates and algorithmic implementation
Author/s:
  • Nguyen, Gia Khanh
  • Sanz Gomez, Miguel Angel
  • Montans Leal, Francisco Javier
Item Type: Article
Título de Revista/Publicación: International Journal of Plasticity
Date: May 2019
ISSN: 0749-6419
Volume: 128
Subjects:
Freetext Keywords: large strains; Plane stress plasticity; Logarithmic strains; Multiplicative decomposition; Nonlinear kinematic hardening
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

Small-strain plane-stress projected formulations are typically employed in 2D, plate and thin membrane problems because of their efficiency. However, at large strains, equivalent algorithms have been precluded by the difficulties of kinematics, specially using the multiplicative decomposition and nonlinear kinematic hardening. In this paper, we present a plane-stress constrained formulation for large strain multiplicative hyperelasto-plasticity based on the novel framework which uses elastic strain corrector rates. The proposed plane-stress projected model is consistent with the principle of maximum dissipation as in the 3D/plane-strain case, and it is valid for any stored energy function (e.g. for soft materials). Hyperelasticity-based nonlinear kinematic hardening at large strains, which preserves Masing's rules if desired, is also included in the formulation. The consistent tangent moduli tensor for the plane stress subspace is also derived to provide the asymptotic second order convergence of Newton algorithms during global equilibrium iterations. Some numerical examples are presented in order to evaluate both the congruency with the equivalent 3D formulation and the numerical performance of the proposed plane-stress projected algorithm.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainDPI2015-69801-RUnspecifiedUnspecifiedModelado y simulación del comportamiento mecánico de materiales blandos anisotropos en grandes deformaciones
Government of SpainPGC2018-097257-B-C32UnspecifiedUnspecifiedUnspecified

More information

Item ID: 64209
DC Identifier: https://oa.upm.es/64209/
OAI Identifier: oai:oa.upm.es:64209
DOI: 10.1016/j.ijplas.2019.08.017
Official URL: https://www.sciencedirect.com/science/article/pii/S0749641919303365
Deposited by: Memoria Investigacion
Deposited on: 02 Dec 2021 09:15
Last Modified: 02 Dec 2021 09:15
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