Fully coupled heat conduction and deformation analyses of nonlinear viscoelastic composites

Kamran A. Khan, Anastasia H. Muliana

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


This study presents an integrated micromechanical model-finite element framework for analyzing coupled heat conduction and deformations of particle-reinforced composite structures. A simplified micromechanical model consisting of four sub-cells, i.e., one particle and three matrix sub-cells is formulated to obtain the effective thermomechanical properties and micro-macro field variables due to coupled heat conduction and nonlinear thermoviscoelastic deformation of a particulate composite that takes into account the dissipation of energy from the viscoelastic constituents. A time integration algorithm for simultaneously solving the equations that govern heat conduction and thermoviscoelastic deformations of isotropic homogeneous materials is developed. The algorithm is then integrated to the proposed micromechanical model. A significant temperature generation due to the dissipation effect in the viscoelastic matrix was observed when the composite body is subjected to cyclic mechanical loadings. Heat conduction due to the dissipation of the energy cannot be ignored in predicting the factual temperature and deformation fields within the composite structure, subjected to cyclic loading for a long period. A higher creep resistant matrix material or adding elastic particles can lower the temperature generation. Our analyses suggest that using particulate composites and functionally graded materials can reduce the heat generation due to energy dissipation.

Original languageBritish English
Pages (from-to)2025-2037
Number of pages13
JournalComposite Structures
Issue number6
StatePublished - May 2012


  • Conduction
  • Coupled thermoviscoelasticity
  • Cyclic loading
  • Dissipation in composites
  • Heat generation
  • Particulate composites


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