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Title: Finite Element Simulation of Sheet Metal Forming Using Anisotropic Strain-Rate Potentials

Abstract

In continuum mechanics, plastic anisotropy is described using anisotropic stress potentials or, alternatively, strain-rate potentials. In this work, a stress update algorithm is developed for this later case. The implicit, backward Euler method is adopted. A specific numerical treatment is required to deal with the plasticity criterion, which is not defined explicitly. Also, a sub-stepping procedure is adopted in order to deal with the strong nonlinearity of the yield surfaces when applied to FCC materials. The resulting algorithm is implemented in the static implicit version of the Abaqus FE code. Several recent plastic potentials have been implemented in this framework and their parameters identified for a number of BCC and FCC materials. Numerical simulations of a cup drawing process are performed in order to address the robustness of the implementation and the ability of these potentials to predict e.g. earing for materials with different anisotropy.

Authors:
 [1];  [2];  [3]; ; ;  [1]
  1. LPMTM-CNRS, UPR9001, University Paris13, 99 Av. J-B. Clement, 93430 Villetaneuse (France)
  2. (France)
  3. LPMM, UMR7554, ENSAM Metz, 4 rue A. Fresnel, 57078 Metz Cedex 3 (France)
Publication Date:
OSTI Identifier:
21061739
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 908; Journal Issue: 1; Conference: NUMIFORM 2007: 9. international conference on numerical methods in industrial forming processes, Porto (Portugal), 17-21 Jun 2007; Other Information: DOI: 10.1063/1.2740883; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; A CODES; ALGORITHMS; ALLOYS; ANISOTROPY; BCC LATTICES; COMPUTERIZED SIMULATION; FCC LATTICES; FINITE ELEMENT METHOD; METALS; NONLINEAR PROBLEMS; PLASTICITY; SHEETS; STRAIN RATE; STRESSES; SURFACES

Citation Formats

Rabahallah, Meziane, LPMM, UMR7554, ENSAM Metz, 4 rue A. Fresnel, 57078 Metz Cedex 3, Balan, Tudor, Bouvier, Salima, Bacroix, Brigitte, and Teodosiu, Cristian. Finite Element Simulation of Sheet Metal Forming Using Anisotropic Strain-Rate Potentials. United States: N. p., 2007. Web. doi:10.1063/1.2740883.
Rabahallah, Meziane, LPMM, UMR7554, ENSAM Metz, 4 rue A. Fresnel, 57078 Metz Cedex 3, Balan, Tudor, Bouvier, Salima, Bacroix, Brigitte, & Teodosiu, Cristian. Finite Element Simulation of Sheet Metal Forming Using Anisotropic Strain-Rate Potentials. United States. doi:10.1063/1.2740883.
Rabahallah, Meziane, LPMM, UMR7554, ENSAM Metz, 4 rue A. Fresnel, 57078 Metz Cedex 3, Balan, Tudor, Bouvier, Salima, Bacroix, Brigitte, and Teodosiu, Cristian. Thu . "Finite Element Simulation of Sheet Metal Forming Using Anisotropic Strain-Rate Potentials". United States. doi:10.1063/1.2740883.
@article{osti_21061739,
title = {Finite Element Simulation of Sheet Metal Forming Using Anisotropic Strain-Rate Potentials},
author = {Rabahallah, Meziane and LPMM, UMR7554, ENSAM Metz, 4 rue A. Fresnel, 57078 Metz Cedex 3 and Balan, Tudor and Bouvier, Salima and Bacroix, Brigitte and Teodosiu, Cristian},
abstractNote = {In continuum mechanics, plastic anisotropy is described using anisotropic stress potentials or, alternatively, strain-rate potentials. In this work, a stress update algorithm is developed for this later case. The implicit, backward Euler method is adopted. A specific numerical treatment is required to deal with the plasticity criterion, which is not defined explicitly. Also, a sub-stepping procedure is adopted in order to deal with the strong nonlinearity of the yield surfaces when applied to FCC materials. The resulting algorithm is implemented in the static implicit version of the Abaqus FE code. Several recent plastic potentials have been implemented in this framework and their parameters identified for a number of BCC and FCC materials. Numerical simulations of a cup drawing process are performed in order to address the robustness of the implementation and the ability of these potentials to predict e.g. earing for materials with different anisotropy.},
doi = {10.1063/1.2740883},
journal = {AIP Conference Proceedings},
number = 1,
volume = 908,
place = {United States},
year = {Thu May 17 00:00:00 EDT 2007},
month = {Thu May 17 00:00:00 EDT 2007}
}