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A scaled boundary finite element formulation for poroelasticity
Ean Tat Ooi, Chongmin Song,
Published in John Wiley and Sons Ltd
2018
Volume: 114
   
Issue: 8
Pages: 905 - 929
Abstract

This paper develops the scaled boundary finite element formulation for applications in coupled field problems, in particular, to poroelasticity. The salient feature of this formulation is that it can be applied over arbitrary polygons and/or quadtree decomposition, which is widely employed to traverse between small and large scales. Moreover, the formulation can treat singularities of any order. Within this framework, 2 sets of semianalytical, scaled boundary shape functions are used to interpolate the displacement and the pore fluid pressure. These shape functions are obtained from the solution of vector and scalar Laplacian, respectively, which are then used to discretise the unknown field variables similar to that of the finite element method. The resulting system of equations are similar in form as that obtained using standard procedures such as the finite element method and, hence, solved using the standard procedures. The formulation is validated using several numerical benchmarks to demonstrate its accuracy and convergence properties. Copyright © 2018 John Wiley & Sons, Ltd.

About the journal
JournalData powered by TypesetInternational Journal for Numerical Methods in Engineering
PublisherData powered by TypesetJohn Wiley and Sons Ltd
ISSN00295981
Open AccessNo
Concepts (10)
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    Porous materials
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    Convergence properties
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    COUPLED FIELD PROBLEMS
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    Finite element formulations
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    POLYGON
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    PORO-ELASTICITY
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    QUAD TREES
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    QUAD-TREE DECOMPOSITION
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    SCALED BOUNDARY FINITE ELEMENT METHOD
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    Finite element method