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 article

3 Citations (Scopus)

Abstract

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)
Volume7
Issue number9
DOIs
StatePublished - Sep 9 2017

Fingerprint

Porous materials
stress functions
biodynamics
Biomechanics
mass balance
infiltration
porous materials
Infiltration
Momentum
permeability
manufacturing
continuums
momentum
composite materials
Composite materials
simulation

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Instrumentation
  • Engineering(all)
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes

Cite this

Siddique, Javed Iqbal ; Ahmed, Aftab ; Aziz, Asim ; Khalique, Chaudry Masood. / A review of mixture theory for deformable porous media and applications. In: Applied Sciences (Switzerland). 2017 ; Vol. 7, No. 9.
@article{51d6ea1d464941c58a8aea48c5be3b97,
title = "A review of mixture theory for deformable porous media and applications",
abstract = "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.",
author = "Siddique, {Javed Iqbal} and Aftab Ahmed and Asim Aziz and Khalique, {Chaudry Masood}",
year = "2017",
month = "9",
day = "9",
doi = "10.3390/app7090917",
language = "English (US)",
volume = "7",
journal = "Applied Sciences (Switzerland)",
issn = "2076-3417",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "9",

}

A review of mixture theory for deformable porous media and applications. / Siddique, Javed Iqbal; Ahmed, Aftab; Aziz, Asim; Khalique, Chaudry Masood.

In: Applied Sciences (Switzerland), Vol. 7, No. 9, 917, 09.09.2017.

Research output: Contribution to journalReview article

TY - JOUR

T1 - A review of mixture theory for deformable porous media and applications

AU - Siddique, Javed Iqbal

AU - Ahmed, Aftab

AU - Aziz, Asim

AU - Khalique, Chaudry Masood

PY - 2017/9/9

Y1 - 2017/9/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85029145149&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85029145149&partnerID=8YFLogxK

U2 - 10.3390/app7090917

DO - 10.3390/app7090917

M3 - Review article

AN - SCOPUS:85029145149

VL - 7

JO - Applied Sciences (Switzerland)

JF - Applied Sciences (Switzerland)

SN - 2076-3417

IS - 9

M1 - 917

ER -