Modeling the thermomechanical effects of crystallization in natural rubber

I. The theoretical structure

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Using the theoretical framework introduced in a previous work (Negahban, M., 1997. Thermodynamic modeling of the thermomechanical effects of polymer crystalliation: A general theoretical structure. International Journal of Engineering Science 35, 277-298), a model is proposed for capturing the thermomechanical response of natural rubber during and after crystallization. The model is given in a form which will allow the incorporation of both the known mechanical response and the known thermal response observed before, during, and after crystallization in natural rubber. In particular, one can include in this model known experimental results characterizing the stress relaxation due to crystallization, increase in rigidity with crystallization, heat capacity, heat of crystallization, and the melting temperature. In this first article, a basic overview is presented of the model, and the thermal expansion of the amorphous and crystalline phases of natural rubber are incorporated into the model. The specific form of the free energy used to characterize the response of natural rubber is presented in the following articles.

Original languageEnglish (US)
Pages (from-to)2777-2789
Number of pages13
JournalInternational Journal of Solids and Structures
Volume37
Issue number20
DOIs
StatePublished - May 1 2000

Fingerprint

Rubber
Crystallization
rubber
crystallization
Modeling
Stress Relaxation
Model
Thermal Expansion
Heat Capacity
stress relaxation
Stress relaxation
rigidity
Melting
Rigidity
Free energy
Specific heat
Thermal expansion
Melting point
Free Energy
thermal expansion

Keywords

  • Continuum modeling
  • Crystallization
  • Kinetics of crystallization
  • Natural rubber
  • Non-isothermal
  • Phase transition
  • Stress relaxationa
  • Thermodynamics
  • Thermomechanical modeling

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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title = "Modeling the thermomechanical effects of crystallization in natural rubber: I. The theoretical structure",
abstract = "Using the theoretical framework introduced in a previous work (Negahban, M., 1997. Thermodynamic modeling of the thermomechanical effects of polymer crystalliation: A general theoretical structure. International Journal of Engineering Science 35, 277-298), a model is proposed for capturing the thermomechanical response of natural rubber during and after crystallization. The model is given in a form which will allow the incorporation of both the known mechanical response and the known thermal response observed before, during, and after crystallization in natural rubber. In particular, one can include in this model known experimental results characterizing the stress relaxation due to crystallization, increase in rigidity with crystallization, heat capacity, heat of crystallization, and the melting temperature. In this first article, a basic overview is presented of the model, and the thermal expansion of the amorphous and crystalline phases of natural rubber are incorporated into the model. The specific form of the free energy used to characterize the response of natural rubber is presented in the following articles.",
keywords = "Continuum modeling, Crystallization, Kinetics of crystallization, Natural rubber, Non-isothermal, Phase transition, Stress relaxationa, Thermodynamics, Thermomechanical modeling",
author = "Mehrdad Negahban",
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TY - JOUR

T1 - Modeling the thermomechanical effects of crystallization in natural rubber

T2 - I. The theoretical structure

AU - Negahban, Mehrdad

PY - 2000/5/1

Y1 - 2000/5/1

N2 - Using the theoretical framework introduced in a previous work (Negahban, M., 1997. Thermodynamic modeling of the thermomechanical effects of polymer crystalliation: A general theoretical structure. International Journal of Engineering Science 35, 277-298), a model is proposed for capturing the thermomechanical response of natural rubber during and after crystallization. The model is given in a form which will allow the incorporation of both the known mechanical response and the known thermal response observed before, during, and after crystallization in natural rubber. In particular, one can include in this model known experimental results characterizing the stress relaxation due to crystallization, increase in rigidity with crystallization, heat capacity, heat of crystallization, and the melting temperature. In this first article, a basic overview is presented of the model, and the thermal expansion of the amorphous and crystalline phases of natural rubber are incorporated into the model. The specific form of the free energy used to characterize the response of natural rubber is presented in the following articles.

AB - Using the theoretical framework introduced in a previous work (Negahban, M., 1997. Thermodynamic modeling of the thermomechanical effects of polymer crystalliation: A general theoretical structure. International Journal of Engineering Science 35, 277-298), a model is proposed for capturing the thermomechanical response of natural rubber during and after crystallization. The model is given in a form which will allow the incorporation of both the known mechanical response and the known thermal response observed before, during, and after crystallization in natural rubber. In particular, one can include in this model known experimental results characterizing the stress relaxation due to crystallization, increase in rigidity with crystallization, heat capacity, heat of crystallization, and the melting temperature. In this first article, a basic overview is presented of the model, and the thermal expansion of the amorphous and crystalline phases of natural rubber are incorporated into the model. The specific form of the free energy used to characterize the response of natural rubber is presented in the following articles.

KW - Continuum modeling

KW - Crystallization

KW - Kinetics of crystallization

KW - Natural rubber

KW - Non-isothermal

KW - Phase transition

KW - Stress relaxationa

KW - Thermodynamics

KW - Thermomechanical modeling

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