Numerical implementation of an elastic-viscoplastic constitutive model to simulate the mechanical behaviour of amorphous polymers

C. A. Bernard, J. P M Correia, Said Ahzi, N. Bahlouli

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Due to their high deformation capabilities, polymeric materials are widely used in several industries. However, polymers exhibit a complex behaviour with strain rate, temperature and pressure dependencies. Numerous constitutive models were developed in order to take into account their specific behaviour. Among these models, the ones proposed by Richeton et al Polymer 46:6035–6043 (2005a), Polymer 46:8194–8201 (2005b) seem to be particularly suitable. They proposed expressions for the Young modulus and the yield stress with strain rate and temperature dependence. Moreover, these models were also implemented in a finite elastic-viscoplastic deformation approach using a flow rule based on thermally activated process. The increase of computational capabilities allowed simulating polymer forming processes using finite element (FE) codes. The aim of the study is to implement the proposed constitutive model in a commercial FE code via a user material subroutine. The implementation of the model was verified using compressive tests over a wide range of strain rates. Next, FE simulations of an impact test and of a plane strain forging process were carried out. The FE predictions are in good agreement with the experimental results taken from the literature.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalInternational Journal of Material Forming
DOIs
Publication statusAccepted/In press - 23 Jul 2016

Fingerprint

Constitutive models
Polymers
Strain rate
Subroutines
Elastic deformation
Forging
Yield stress
Elastic moduli
Temperature
Industry

Keywords

  • Amorphous polymers
  • Cooperative model
  • Elasto-viscoplasticity
  • Finite element method
  • Numerical integration

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Numerical implementation of an elastic-viscoplastic constitutive model to simulate the mechanical behaviour of amorphous polymers. / Bernard, C. A.; Correia, J. P M; Ahzi, Said; Bahlouli, N.

In: International Journal of Material Forming, 23.07.2016, p. 1-15.

Research output: Contribution to journalArticle

@article{77fb520f69c8490f8c22f34b8dec2b5b,
title = "Numerical implementation of an elastic-viscoplastic constitutive model to simulate the mechanical behaviour of amorphous polymers",
abstract = "Due to their high deformation capabilities, polymeric materials are widely used in several industries. However, polymers exhibit a complex behaviour with strain rate, temperature and pressure dependencies. Numerous constitutive models were developed in order to take into account their specific behaviour. Among these models, the ones proposed by Richeton et al Polymer 46:6035–6043 (2005a), Polymer 46:8194–8201 (2005b) seem to be particularly suitable. They proposed expressions for the Young modulus and the yield stress with strain rate and temperature dependence. Moreover, these models were also implemented in a finite elastic-viscoplastic deformation approach using a flow rule based on thermally activated process. The increase of computational capabilities allowed simulating polymer forming processes using finite element (FE) codes. The aim of the study is to implement the proposed constitutive model in a commercial FE code via a user material subroutine. The implementation of the model was verified using compressive tests over a wide range of strain rates. Next, FE simulations of an impact test and of a plane strain forging process were carried out. The FE predictions are in good agreement with the experimental results taken from the literature.",
keywords = "Amorphous polymers, Cooperative model, Elasto-viscoplasticity, Finite element method, Numerical integration",
author = "Bernard, {C. A.} and Correia, {J. P M} and Said Ahzi and N. Bahlouli",
year = "2016",
month = "7",
day = "23",
doi = "10.1007/s12289-016-1305-8",
language = "English",
pages = "1--15",
journal = "International Journal of Material Forming",
issn = "1960-6206",
publisher = "Springer Paris",

}

TY - JOUR

T1 - Numerical implementation of an elastic-viscoplastic constitutive model to simulate the mechanical behaviour of amorphous polymers

AU - Bernard, C. A.

AU - Correia, J. P M

AU - Ahzi, Said

AU - Bahlouli, N.

PY - 2016/7/23

Y1 - 2016/7/23

N2 - Due to their high deformation capabilities, polymeric materials are widely used in several industries. However, polymers exhibit a complex behaviour with strain rate, temperature and pressure dependencies. Numerous constitutive models were developed in order to take into account their specific behaviour. Among these models, the ones proposed by Richeton et al Polymer 46:6035–6043 (2005a), Polymer 46:8194–8201 (2005b) seem to be particularly suitable. They proposed expressions for the Young modulus and the yield stress with strain rate and temperature dependence. Moreover, these models were also implemented in a finite elastic-viscoplastic deformation approach using a flow rule based on thermally activated process. The increase of computational capabilities allowed simulating polymer forming processes using finite element (FE) codes. The aim of the study is to implement the proposed constitutive model in a commercial FE code via a user material subroutine. The implementation of the model was verified using compressive tests over a wide range of strain rates. Next, FE simulations of an impact test and of a plane strain forging process were carried out. The FE predictions are in good agreement with the experimental results taken from the literature.

AB - Due to their high deformation capabilities, polymeric materials are widely used in several industries. However, polymers exhibit a complex behaviour with strain rate, temperature and pressure dependencies. Numerous constitutive models were developed in order to take into account their specific behaviour. Among these models, the ones proposed by Richeton et al Polymer 46:6035–6043 (2005a), Polymer 46:8194–8201 (2005b) seem to be particularly suitable. They proposed expressions for the Young modulus and the yield stress with strain rate and temperature dependence. Moreover, these models were also implemented in a finite elastic-viscoplastic deformation approach using a flow rule based on thermally activated process. The increase of computational capabilities allowed simulating polymer forming processes using finite element (FE) codes. The aim of the study is to implement the proposed constitutive model in a commercial FE code via a user material subroutine. The implementation of the model was verified using compressive tests over a wide range of strain rates. Next, FE simulations of an impact test and of a plane strain forging process were carried out. The FE predictions are in good agreement with the experimental results taken from the literature.

KW - Amorphous polymers

KW - Cooperative model

KW - Elasto-viscoplasticity

KW - Finite element method

KW - Numerical integration

UR - http://www.scopus.com/inward/record.url?scp=84979224106&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84979224106&partnerID=8YFLogxK

U2 - 10.1007/s12289-016-1305-8

DO - 10.1007/s12289-016-1305-8

M3 - Article

SP - 1

EP - 15

JO - International Journal of Material Forming

JF - International Journal of Material Forming

SN - 1960-6206

ER -