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I. Terlinden* and L. Laemmer+

*Institute for Numerical Methods and Informatics in Civil Engineering, University of Technology, Darmstadt, Germany
+Department of Mechanical and Chemical Engineering, Heriot-Watt University, Edinburgh, United Kingdom

doi:10.4203/ccp.54.10.2

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I. Terlinden, L. Laemmer, "Application of Porous Media Modelling with Finite Element Formulation Mixture Theory", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 275-282, 1998. doi:10.4203/ccp.54.10.2

Abstract

Porous media models can be described by use of the theory of mixtures combined with the volume fraction concept (porous media theories), within the framework of a macroscopic formulation. Based on this concept, we will explore a general approach to porous media linear-elasticity for a binary system consisting of a linear-elastic solid matrix saturated by an incompressible viscous pore liquid. In the framework of the finite theory the concept generally leads to a geometrically and physically nonlinear problem. Transformation toward a weak formulation yields a matrix scheme of partial Differential-Algebraic Equations, which is solved by a singly diagonally implicit Runge-Kutta method.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 54 ADVANCES IN FINITE ELEMENT PROCEDURES AND TECHNIQUES Edited by: B.H.V. Topping Paper X.2 Application of Porous Media Modelling with Finite Element Formulation Mixture Theory I. Terlinden* and L. Laemmer+ *Institute for Numerical Methods and Informatics in Civil Engineering, University of Technology, Darmstadt, Germany +Department of Mechanical and Chemical Engineering, Heriot-Watt University, Edinburgh, United Kingdom doi:10.4203/ccp.54.10.2 purchase the full-text of this paper Full Bibliographic Reference for this paper I. Terlinden, L. Laemmer, "Application of Porous Media Modelling with Finite Element Formulation Mixture Theory", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 275-282, 1998. doi:10.4203/ccp.54.10.2 Abstract Porous media models can be described by use of the theory of mixtures combined with the volume fraction concept (porous media theories), within the framework of a macroscopic formulation. Based on this concept, we will explore a general approach to porous media linear-elasticity for a binary system consisting of a linear-elastic solid matrix saturated by an incompressible viscous pore liquid. In the framework of the finite theory the concept generally leads to a geometrically and physically nonlinear problem. Transformation toward a weak formulation yields a matrix scheme of partial Differential-Algebraic Equations, which is solved by a singly diagonally implicit Runge-Kutta method. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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