A review of mixture theory for deformable porous media and applications

Javed Iqbal Siddique, Aftab Ahmed, Asim Aziz, Chaudry Masood Khalique

Research output: Contribution to journalReview articlepeer-review

29 Scopus citations


Mixture theory provides a continuum framework to model a multi-phase system. The basic assumption is, at any instant of time all phases are present at every material point and momentum and mass balance equations are postulated. This paper reviews the recent developments in mixture theory and focuses on the applications of the theory in particular areas of biomechanics, composite manufacturing and infiltration into deformable porous materials. The complexity based upon different permeability and stress functions is also addressed. The review covers the literature presented in the past fifty years and summarizes applications of mixture theory in specific areas of interest, for the sake of brevity, only necessary details are provided rather than complete modeling and simulation.

Original languageEnglish (US)
Article number917
JournalApplied Sciences (Switzerland)
Issue number9
StatePublished - Sep 9 2017

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Instrumentation
  • General Engineering
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes


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