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

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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.",

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AU - Janssen, J. D.

AU - Huson, A.

PY - 1996/7

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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.

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Poroelasticity of saturated solids with an application to blood perfusion

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