Mixed Arlequin method for multiscale poromechanics problems: Mixed Arlequin method for multiscale poromechanics problems

Sun, WaiChing; Cai, Zhijun; Choo, Jinhyun

doi:10.1002/nme.5476

Title: Mixed Arlequin method for multiscale poromechanics problems: Mixed Arlequin method for multiscale poromechanics problems

Journal Article · Fri Nov 18 00:00:00 EST 2016 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.5476· OSTI ID:1418518

Sun, WaiChing ^[1]; Cai, Zhijun ^[1]; Choo, Jinhyun ^[1]

Columbia Univ., New York, NY (United States). Dept. of Civil Engineering and Engineering Mechanics

Summary An Arlequin poromechanics model is introduced to simulate the hydro‐mechanical coupling effects of fluid‐infiltrated porous media across different spatial scales within a concurrent computational framework. A two‐field poromechanics problem is first recast as the twofold saddle point of an incremental energy functional. We then introduce Lagrange multipliers and compatibility energy functionals to enforce the weak compatibility of hydro‐mechanical responses in the overlapped domain. To examine the numerical stability of this hydro‐mechanical Arlequin model, we derive a necessary condition for stability, the twofold inf–sup condition for multi‐field problems, and establish a modified inf–sup test formulated in the product space of the solution field. We verify the implementation of the Arlequin poromechanics model through benchmark problems covering the entire range of drainage conditions. Through these numerical examples, we demonstrate the performance, robustness, and numerical stability of the Arlequin poromechanics model. Copyright © 2016 John Wiley & Sons, Ltd.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: National Science Foundation (NSF); US Army Research Office (ARO); USDOE

Grant/Contract Number:: W911NF-14-1-0658; W911NF-15-1-0581; CMMI-1462760; EAR-1516300; PO-1557089

OSTI ID:: 1418518

Alternate ID(s):: OSTI ID: 1400597

Journal Information:: International Journal for Numerical Methods in Engineering, Vol. 111, Issue 7; ISSN 0029-5981

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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