Constitutive modeling of two phase materials using the Mean Field method for homogenization

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Abstract

A Mean-Field homogenization framework for constitutive modeling of materials involving two distinct elastic-plastic phases is presented. With this approach it is possible to compute the macroscopic mechanical behavior of this type of materials based on the constitutive models of the constituent phases. Different homogenization schemes that exist in the literature are implemented in efficient algorithms to be used in full-scale FE simulations. These schemes are compared with each other in terms of efficiency. Additionally two new schemes are proposed which are both computationally efficient and compare in accuracy with the more physically based approaches. Finally the algorithms are demonstrated on FE simulations of sheet metal forming operations and compared with experimental results.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalInternational journal of material forming
Volume4
Issue number2
DOIs
Publication statusPublished - 2010

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Metal forming
Sheet metal
Constitutive models
Plastics

Keywords

  • IR-74791
  • METIS-270216
  • Mean field - Homogenization - Mori–Tanaka - Self consistent - Dual-phase steels - Metal-Matrix composites

Cite this

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title = "Constitutive modeling of two phase materials using the Mean Field method for homogenization",
abstract = "A Mean-Field homogenization framework for constitutive modeling of materials involving two distinct elastic-plastic phases is presented. With this approach it is possible to compute the macroscopic mechanical behavior of this type of materials based on the constitutive models of the constituent phases. Different homogenization schemes that exist in the literature are implemented in efficient algorithms to be used in full-scale FE simulations. These schemes are compared with each other in terms of efficiency. Additionally two new schemes are proposed which are both computationally efficient and compare in accuracy with the more physically based approaches. Finally the algorithms are demonstrated on FE simulations of sheet metal forming operations and compared with experimental results.",
keywords = "IR-74791, METIS-270216, Mean field - Homogenization - Mori–Tanaka - Self consistent - Dual-phase steels - Metal-Matrix composites",
author = "Perdahcioglu, {Emin Semih} and Geijselaers, {Hubertus J.M.}",
note = "Open Access",
year = "2010",
doi = "10.1007/s12289-010-1007-6",
language = "English",
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pages = "1--10",
journal = "International journal of material forming",
issn = "1960-6206",
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T1 - Constitutive modeling of two phase materials using the Mean Field method for homogenization

AU - Perdahcioglu, Emin Semih

AU - Geijselaers, Hubertus J.M.

N1 - Open Access

PY - 2010

Y1 - 2010

N2 - A Mean-Field homogenization framework for constitutive modeling of materials involving two distinct elastic-plastic phases is presented. With this approach it is possible to compute the macroscopic mechanical behavior of this type of materials based on the constitutive models of the constituent phases. Different homogenization schemes that exist in the literature are implemented in efficient algorithms to be used in full-scale FE simulations. These schemes are compared with each other in terms of efficiency. Additionally two new schemes are proposed which are both computationally efficient and compare in accuracy with the more physically based approaches. Finally the algorithms are demonstrated on FE simulations of sheet metal forming operations and compared with experimental results.

AB - A Mean-Field homogenization framework for constitutive modeling of materials involving two distinct elastic-plastic phases is presented. With this approach it is possible to compute the macroscopic mechanical behavior of this type of materials based on the constitutive models of the constituent phases. Different homogenization schemes that exist in the literature are implemented in efficient algorithms to be used in full-scale FE simulations. These schemes are compared with each other in terms of efficiency. Additionally two new schemes are proposed which are both computationally efficient and compare in accuracy with the more physically based approaches. Finally the algorithms are demonstrated on FE simulations of sheet metal forming operations and compared with experimental results.

KW - IR-74791

KW - METIS-270216

KW - Mean field - Homogenization - Mori–Tanaka - Self consistent - Dual-phase steels - Metal-Matrix composites

U2 - 10.1007/s12289-010-1007-6

DO - 10.1007/s12289-010-1007-6

M3 - Article

VL - 4

SP - 1

EP - 10

JO - International journal of material forming

JF - International journal of material forming

SN - 1960-6206

IS - 2

ER -