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Research Papers

Computational Coupled Method for Multiscale and Phase Analysis

[+] Author and Article Information
Moonho Tak

Research Professor
e-mail: pivotman@hanyang.ac.kr

Duhee Park

Associate Professor
e-mail: dpark@hanyang.ac.kr

Taehyo Park

Professor
e-mail: cepark@hanyang.ac.kr
Department of Civil and Environmental Engineering,
Hanyang University,
Seoul 133-791, Korea

1Corresponding author.

Manuscript received June 4, 2012; final manuscript received October 9, 2012; published online March 28, 2013. Assoc. Editor: Xi Chen.

J. Eng. Mater. Technol 135(2), 021013 (Mar 28, 2013) (11 pages) Paper No: MATS-12-1130; doi: 10.1115/1.4023776 History: Received June 04, 2012; Revised October 09, 2012

On micro scale the constitutions of porous media are effected by other constitutions, so their behaviors are very complex and it is hard to derive theoretical formulations as well as to simulate on macro scale. For decades, in order to escape this complication, the phenomenological approaches in a field of multiscale methods have been extensively researched by many material scientists and engineers. Their theoretical approaches are based on the hierarchical multiscale methods using a priori knowledge on a smaller scale; however it has a drawback that an information loss can be occurred. Recently, according to a development of the core technologies of computer, the ways of multiscale are extended to a direct multiscale approach called the concurrent multiscale method. This approach is not necessary to deal with complex mathematical formulations, but it is noted as an important factor: development of computational coupling algorithms between constitutions in a porous medium. In this work, we attempt to develop coupling algorithms in different numerical methods finite element method (FEM), smoothed particle hydrodynamics (SPH) and discrete element method (DEM). Using this coupling algorithm, fluid flow, movement of solid particle, and contact forces between solid domains are computed via proposed discrete element which is based on SPH, FEM, and DEM. In addition, a mixed FEM on continuum level and discrete element model with SPH particles on discontinuum level is introduced, and proposed coupling algorithm is verified through numerical simulation.

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Figures

Grahic Jump Location
Fig. 1

Definition of SPH particle a in volume V

Grahic Jump Location
Fig. 2

A variety of contact (left) corner to line, (center) line to line, and (right) corner to corner

Grahic Jump Location
Fig. 3

Relationship between surface traction vectors

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Fig. 4

Displacements and fluid pressures in natural coordinate η-ξ

Grahic Jump Location
Fig. 5

Discrete element embedded SPH particles

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Fig. 6

Two discrete elements and SPH particles

Grahic Jump Location
Fig. 7

Fluid pressure for elapsed time at point A and point B (the F-point A and the F-point B are results of model prescribed external force, and the NF-point A is result of model without prescribed external forces)

Grahic Jump Location
Fig. 13

Velocity for elapsed time at point A and point B

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Fig. 14

Two discrete elements and SPH particles

Grahic Jump Location
Fig. 15

Fluid pressure for elapsed time at point A and point B

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