A formulation of the cooperative model for the yield stress of amorphous polymers for a wide range of strain rates and temperatures

J. Richeton, Said Ahzi, L. Daridon, Y. Rémond

Research output: Contribution to journalArticle

152 Citations (Scopus)

Abstract

The mechanical response of solid amorphous polymers is strongly dependent on the temperature and strain rate. More specifically, the yield stress increases dramatically for the low temperatures as well as for the high strain rates. To describe this behavior, we propose a new formulation of the cooperative model of Fotheringham and Cherry where the final mathematical form of the model is derived according to the strain rate/temperature superposition principle of the yield stress. According to our development, the yield behavior can be correlated to the secondary relaxation and we propose an extension of the model to temperatures above the glass transition temperature. For a wide range of temperatures and strain rates (including the impact strain rates), the predicted compressive yield stresses obtained for the polycarbonate (PC) and the polymethylmethacrylate (PMMA) are in excellent agreement with the experimental data found in the literature.

Original languageEnglish
Pages (from-to)6035-6043
Number of pages9
JournalPolymer
Volume46
Issue number16
DOIs
Publication statusPublished - 25 Jul 2005
Externally publishedYes

Fingerprint

Yield stress
Strain rate
Polymers
polycarbonate
Temperature
Polymethyl Methacrylate
Polycarbonates

Keywords

  • Amorphous polymers
  • Modeling
  • Yield stress

ASJC Scopus subject areas

  • Organic Chemistry
  • Polymers and Plastics

Cite this

A formulation of the cooperative model for the yield stress of amorphous polymers for a wide range of strain rates and temperatures. / Richeton, J.; Ahzi, Said; Daridon, L.; Rémond, Y.

In: Polymer, Vol. 46, No. 16, 25.07.2005, p. 6035-6043.

Research output: Contribution to journalArticle

@article{c7067b6f6c714e9eb943e1203d6a68cc,
title = "A formulation of the cooperative model for the yield stress of amorphous polymers for a wide range of strain rates and temperatures",
abstract = "The mechanical response of solid amorphous polymers is strongly dependent on the temperature and strain rate. More specifically, the yield stress increases dramatically for the low temperatures as well as for the high strain rates. To describe this behavior, we propose a new formulation of the cooperative model of Fotheringham and Cherry where the final mathematical form of the model is derived according to the strain rate/temperature superposition principle of the yield stress. According to our development, the yield behavior can be correlated to the secondary relaxation and we propose an extension of the model to temperatures above the glass transition temperature. For a wide range of temperatures and strain rates (including the impact strain rates), the predicted compressive yield stresses obtained for the polycarbonate (PC) and the polymethylmethacrylate (PMMA) are in excellent agreement with the experimental data found in the literature.",
keywords = "Amorphous polymers, Modeling, Yield stress",
author = "J. Richeton and Said Ahzi and L. Daridon and Y. R{\'e}mond",
year = "2005",
month = "7",
day = "25",
doi = "10.1016/j.polymer.2005.05.079",
language = "English",
volume = "46",
pages = "6035--6043",
journal = "Polymer (United Kingdom)",
issn = "0032-3861",
publisher = "Elsevier BV",
number = "16",

}

TY - JOUR

T1 - A formulation of the cooperative model for the yield stress of amorphous polymers for a wide range of strain rates and temperatures

AU - Richeton, J.

AU - Ahzi, Said

AU - Daridon, L.

AU - Rémond, Y.

PY - 2005/7/25

Y1 - 2005/7/25

N2 - The mechanical response of solid amorphous polymers is strongly dependent on the temperature and strain rate. More specifically, the yield stress increases dramatically for the low temperatures as well as for the high strain rates. To describe this behavior, we propose a new formulation of the cooperative model of Fotheringham and Cherry where the final mathematical form of the model is derived according to the strain rate/temperature superposition principle of the yield stress. According to our development, the yield behavior can be correlated to the secondary relaxation and we propose an extension of the model to temperatures above the glass transition temperature. For a wide range of temperatures and strain rates (including the impact strain rates), the predicted compressive yield stresses obtained for the polycarbonate (PC) and the polymethylmethacrylate (PMMA) are in excellent agreement with the experimental data found in the literature.

AB - The mechanical response of solid amorphous polymers is strongly dependent on the temperature and strain rate. More specifically, the yield stress increases dramatically for the low temperatures as well as for the high strain rates. To describe this behavior, we propose a new formulation of the cooperative model of Fotheringham and Cherry where the final mathematical form of the model is derived according to the strain rate/temperature superposition principle of the yield stress. According to our development, the yield behavior can be correlated to the secondary relaxation and we propose an extension of the model to temperatures above the glass transition temperature. For a wide range of temperatures and strain rates (including the impact strain rates), the predicted compressive yield stresses obtained for the polycarbonate (PC) and the polymethylmethacrylate (PMMA) are in excellent agreement with the experimental data found in the literature.

KW - Amorphous polymers

KW - Modeling

KW - Yield stress

UR - http://www.scopus.com/inward/record.url?scp=21944444375&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21944444375&partnerID=8YFLogxK

U2 - 10.1016/j.polymer.2005.05.079

DO - 10.1016/j.polymer.2005.05.079

M3 - Article

VL - 46

SP - 6035

EP - 6043

JO - Polymer (United Kingdom)

JF - Polymer (United Kingdom)

SN - 0032-3861

IS - 16

ER -