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DTSTAMP:20210916T132450Z
LOCATION:Louis Favre
DTSTART;TZID=Europe/Stockholm:20210707T113000
DTEND;TZID=Europe/Stockholm:20210707T120000
UID:submissions.pasc-conference.org_PASC21_sess141_msa377@linklings.com
SUMMARY:A Fast Boundary Element Based Solver for Localized Inelastic Defor
 mations
DESCRIPTION:Minisymposium\n\nA Fast Boundary Element Based Solver for Loca
 lized Inelastic Deformations\n\nCiardo\n\nWe present a numerical method fo
 r the solution of nonlinear geo-mechanical problems involving localized de
 formations along shear bands or structural discontinuities, such as faults
  and fractures. We use the boundary element method to solve for quasi-stat
 ic elastic deformation of the medium, while rigid-plastic constitutive rel
 ations govern the behavior of displacement discontinuity (DD) segments ove
 r which localization take place. A fully implicit scheme is developed usin
 g a hierarchical approximation of the boundary element matrix. Combined wi
 th an ad-hoc block preconditioner that improves the spectral properties of
  the resulting matrix of coefficient, it allows to tackle large problems v
 ia the use of an iterative solver (GMRES) for the solution of the tangent 
 system (which never involves the inversion of the Schur complement). Sever
 al examples of the initiation and growth of shear-bands and tensile fractu
 res illustrate the capabilities, performance and accuracy of this techniqu
 e. The method does not exhibit any mesh dependency associated with localiz
 ation provided that (i) the softening length-scale is resolved and (ii) th
 e plane of localized deformations is discretized a priori using DD segment
 s.\n\nDomain: CS and Math, Solid Earth Dynamics, Engineering
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