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

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. Here, 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. Finally, through these numerical examples, we demonstrate the performance, robustness, and numerical stability of the Arlequin poromechanics model.
 [1] ;  [1] ;  [1]
  1. Columbia Univ., New York, NY (United States). Dept. of Civil Engineering and Engineering Mechanics
Publication Date:
Grant/Contract Number:
W911NF-14-1-0658; W911NF-15-1-0581; CMMI-1462760; EAR-1516300; PO-1557089
Accepted Manuscript
Journal Name:
International Journal for Numerical Methods in Engineering
Additional Journal Information:
Journal Volume: 111; Journal Issue: 7; Journal ID: ISSN 0029-5981
Research Org:
Columbia Univ., New York, NY (United States)
Sponsoring Org:
National Science Foundation (NSF); US Army Research Office (ARO); USDOE
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; poromechanics; multiscale simulations; domain coupling; Arlequin method; inf–sup tests
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1400597