Poroelasticity of saturated solids with an application to blood perfusion

W. J. Vankan; J. M. Huyghe; J. D. Janssen; A. Huson

doi:10.1016/0020-7225(96)00009-2

Poroelasticity of saturated solids with an application to blood perfusion

W. J. Vankan, J. M. Huyghe, J. D. Janssen, A. Huson

Maastricht University

Research output: Contribution to journal › Article › peer-review

Abstract

A description of finite deformation of, and fluid flow through, a hierarchically arranged porous solid has been developed using the theory of mixtures. This hierarchical mixture consists of one solid constituent and a fluid constituent that is subdivided into a continuous series of intercommunicating compartments. Conservation laws for mass and momentum have been derived and appropriate formulations for the constitutive behaviour of the constituents are proposed. A finite element description of the hierarchical mixture model has been implemented in the software package DIANA. Two-dimensional, axisymmetric and three-dimensional elements can be used in finite deformation analysis. An example of application is blood perfused biological tissue. A simulation of a blood perfused contracting skeletal muscle is presented.

Original language	English
Pages (from-to)	1019-1031
Number of pages	13
Journal	International Journal of Engineering Science
Volume	34
Issue number	9
DOIs	https://doi.org/10.1016/0020-7225(96)00009-2
Publication status	Published - Jul 1996
Externally published	Yes

Access to Document

10.1016/0020-7225(96)00009-2

Cite this

@article{8ca5b48bb6b449ff8edf92feea524935,

title = "Poroelasticity of saturated solids with an application to blood perfusion",

abstract = "A description of finite deformation of, and fluid flow through, a hierarchically arranged porous solid has been developed using the theory of mixtures. This hierarchical mixture consists of one solid constituent and a fluid constituent that is subdivided into a continuous series of intercommunicating compartments. Conservation laws for mass and momentum have been derived and appropriate formulations for the constitutive behaviour of the constituents are proposed. A finite element description of the hierarchical mixture model has been implemented in the software package DIANA. Two-dimensional, axisymmetric and three-dimensional elements can be used in finite deformation analysis. An example of application is blood perfused biological tissue. A simulation of a blood perfused contracting skeletal muscle is presented.",

author = "Vankan, \{W. J.\} and Huyghe, \{J. M.\} and Janssen, \{J. D.\} and A. Huson",

year = "1996",

month = jul,

doi = "10.1016/0020-7225(96)00009-2",

language = "English",

volume = "34",

pages = "1019--1031",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

number = "9",

}

TY - JOUR

T1 - Poroelasticity of saturated solids with an application to blood perfusion

AU - Vankan, W. J.

AU - Huyghe, J. M.

AU - Janssen, J. D.

AU - Huson, A.

PY - 1996/7

Y1 - 1996/7

N2 - A description of finite deformation of, and fluid flow through, a hierarchically arranged porous solid has been developed using the theory of mixtures. This hierarchical mixture consists of one solid constituent and a fluid constituent that is subdivided into a continuous series of intercommunicating compartments. Conservation laws for mass and momentum have been derived and appropriate formulations for the constitutive behaviour of the constituents are proposed. A finite element description of the hierarchical mixture model has been implemented in the software package DIANA. Two-dimensional, axisymmetric and three-dimensional elements can be used in finite deformation analysis. An example of application is blood perfused biological tissue. A simulation of a blood perfused contracting skeletal muscle is presented.

AB - A description of finite deformation of, and fluid flow through, a hierarchically arranged porous solid has been developed using the theory of mixtures. This hierarchical mixture consists of one solid constituent and a fluid constituent that is subdivided into a continuous series of intercommunicating compartments. Conservation laws for mass and momentum have been derived and appropriate formulations for the constitutive behaviour of the constituents are proposed. A finite element description of the hierarchical mixture model has been implemented in the software package DIANA. Two-dimensional, axisymmetric and three-dimensional elements can be used in finite deformation analysis. An example of application is blood perfused biological tissue. A simulation of a blood perfused contracting skeletal muscle is presented.

UR - https://www.scopus.com/pages/publications/0005255163

U2 - 10.1016/0020-7225(96)00009-2

DO - 10.1016/0020-7225(96)00009-2

M3 - Article

AN - SCOPUS:0005255163

SN - 0020-7225

VL - 34

SP - 1019

EP - 1031

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 9

ER -

Poroelasticity of saturated solids with an application to blood perfusion

Abstract

Access to Document

Other files and links

Fingerprint

Cite this