Failure of elastomeric polymers due to rate dependent bond rupture

Chung Yuen Hui, Tian Tang, Yu-Yun Lin, Manoj K. Chaudhury

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A new cohesive zone model is developed in order to study the mechanisms of adhesive and cohesive failures of soft rubbery materials. The fracture energy is estimated here using a strategy similar to that of Lake and Thomas (LT) by considering the dissipation of stored elastic energy followed by the extension and relaxation of polymer chains. The current model, however, departs from that of LT in that the force needed to break an interfacial bond does not have a fixed value; instead, it depends on the thermal state of the system and the rate at which the force is transmitted to the bond. While the force required to rupture a chain is set by the rules of thermomechanically activated bond dissociation kinetics, extension of a polymer chain is modeled within both the linear and nonlinear models of chain elasticity. Closed form asymptotic solutions are obtained for the dependence of crack propagation speed on the energy release rate, which are valid in two regimes: (I) slow crack velocity or short relaxation time for bond dissociation; (II) fast crack velocity or long relaxation time for bond dissociation. The rate independent and the zero temperature limit of this theory correctly reduces to the fracture model of LT. Detailed comparisons are made with a previous work by Chaudhury et al. which carried out an approximate analysis of the same problem.

Original languageEnglish
Pages (from-to)6052-6064
Number of pages13
JournalLangmuir
Volume20
Issue number14
DOIs
Publication statusPublished - 2004 Jul 6

Fingerprint

Polymers
lakes
Lakes
polymers
dissociation
Relaxation time
cracks
relaxation time
Cracks
Fracture energy
Energy release rate
crack propagation
adhesives
energy
Elasticity
Crack propagation
Adhesives
dissipation
elastic properties
Kinetics

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Spectroscopy
  • Electrochemistry

Cite this

Hui, Chung Yuen ; Tang, Tian ; Lin, Yu-Yun ; Chaudhury, Manoj K. / Failure of elastomeric polymers due to rate dependent bond rupture. In: Langmuir. 2004 ; Vol. 20, No. 14. pp. 6052-6064.
@article{3cc112bb8a3a42b8beaa2f27925f6940,
title = "Failure of elastomeric polymers due to rate dependent bond rupture",
abstract = "A new cohesive zone model is developed in order to study the mechanisms of adhesive and cohesive failures of soft rubbery materials. The fracture energy is estimated here using a strategy similar to that of Lake and Thomas (LT) by considering the dissipation of stored elastic energy followed by the extension and relaxation of polymer chains. The current model, however, departs from that of LT in that the force needed to break an interfacial bond does not have a fixed value; instead, it depends on the thermal state of the system and the rate at which the force is transmitted to the bond. While the force required to rupture a chain is set by the rules of thermomechanically activated bond dissociation kinetics, extension of a polymer chain is modeled within both the linear and nonlinear models of chain elasticity. Closed form asymptotic solutions are obtained for the dependence of crack propagation speed on the energy release rate, which are valid in two regimes: (I) slow crack velocity or short relaxation time for bond dissociation; (II) fast crack velocity or long relaxation time for bond dissociation. The rate independent and the zero temperature limit of this theory correctly reduces to the fracture model of LT. Detailed comparisons are made with a previous work by Chaudhury et al. which carried out an approximate analysis of the same problem.",
author = "Hui, {Chung Yuen} and Tian Tang and Yu-Yun Lin and Chaudhury, {Manoj K.}",
year = "2004",
month = "7",
day = "6",
doi = "10.1021/la0356607",
language = "English",
volume = "20",
pages = "6052--6064",
journal = "Langmuir",
issn = "0743-7463",
publisher = "American Chemical Society",
number = "14",

}

Failure of elastomeric polymers due to rate dependent bond rupture. / Hui, Chung Yuen; Tang, Tian; Lin, Yu-Yun; Chaudhury, Manoj K.

In: Langmuir, Vol. 20, No. 14, 06.07.2004, p. 6052-6064.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Failure of elastomeric polymers due to rate dependent bond rupture

AU - Hui, Chung Yuen

AU - Tang, Tian

AU - Lin, Yu-Yun

AU - Chaudhury, Manoj K.

PY - 2004/7/6

Y1 - 2004/7/6

N2 - A new cohesive zone model is developed in order to study the mechanisms of adhesive and cohesive failures of soft rubbery materials. The fracture energy is estimated here using a strategy similar to that of Lake and Thomas (LT) by considering the dissipation of stored elastic energy followed by the extension and relaxation of polymer chains. The current model, however, departs from that of LT in that the force needed to break an interfacial bond does not have a fixed value; instead, it depends on the thermal state of the system and the rate at which the force is transmitted to the bond. While the force required to rupture a chain is set by the rules of thermomechanically activated bond dissociation kinetics, extension of a polymer chain is modeled within both the linear and nonlinear models of chain elasticity. Closed form asymptotic solutions are obtained for the dependence of crack propagation speed on the energy release rate, which are valid in two regimes: (I) slow crack velocity or short relaxation time for bond dissociation; (II) fast crack velocity or long relaxation time for bond dissociation. The rate independent and the zero temperature limit of this theory correctly reduces to the fracture model of LT. Detailed comparisons are made with a previous work by Chaudhury et al. which carried out an approximate analysis of the same problem.

AB - A new cohesive zone model is developed in order to study the mechanisms of adhesive and cohesive failures of soft rubbery materials. The fracture energy is estimated here using a strategy similar to that of Lake and Thomas (LT) by considering the dissipation of stored elastic energy followed by the extension and relaxation of polymer chains. The current model, however, departs from that of LT in that the force needed to break an interfacial bond does not have a fixed value; instead, it depends on the thermal state of the system and the rate at which the force is transmitted to the bond. While the force required to rupture a chain is set by the rules of thermomechanically activated bond dissociation kinetics, extension of a polymer chain is modeled within both the linear and nonlinear models of chain elasticity. Closed form asymptotic solutions are obtained for the dependence of crack propagation speed on the energy release rate, which are valid in two regimes: (I) slow crack velocity or short relaxation time for bond dissociation; (II) fast crack velocity or long relaxation time for bond dissociation. The rate independent and the zero temperature limit of this theory correctly reduces to the fracture model of LT. Detailed comparisons are made with a previous work by Chaudhury et al. which carried out an approximate analysis of the same problem.

UR - http://www.scopus.com/inward/record.url?scp=3142666886&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3142666886&partnerID=8YFLogxK

U2 - 10.1021/la0356607

DO - 10.1021/la0356607

M3 - Article

C2 - 16459629

AN - SCOPUS:3142666886

VL - 20

SP - 6052

EP - 6064

JO - Langmuir

JF - Langmuir

SN - 0743-7463

IS - 14

ER -