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A hybrid finite element‐spectral boundary integral approach: Applications to dynamic rupture modeling in unbounded domains
Author(s) -
Ma Xiao,
Hajarolasvadi Setare,
Albertini Gabriele,
Kammer David S.,
Elbanna Ahmed E.
Publication year - 2019
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2865
Subject(s) - finite element method , traction (geology) , structural engineering , displacement (psychology) , boundary (topology) , benchmark (surveying) , computer science , boundary element method , engineering , geology , mathematical analysis , mechanical engineering , mathematics , psychology , geodesy , psychotherapist
Summary The finite element method (FEM) and the spectral boundary integral method (SBI) have both been widely used in the study of dynamic rupture simulations along a weak interface. In this paper, we present a hybrid method that combines FEM and SBI through the consistent exchange of displacement and traction boundary conditions, thereby benefiting from the flexibility of FEM in handling problems with nonlinearities or small‐scale heterogeneities and from the superior performance and accuracy of SBI. We validate the hybrid method using a benchmark problem from the Southern California Earthquake Center's dynamic rupture simulation validation exercises.We further demonstrate the capability and computational efficiency of the hybrid scheme for resolving off‐fault heterogeneities by studying a 2D in‐plane shear crack in two different settings: one where the crack is embedded in a high‐velocity zone and another where it is embedded in a low‐velocity zone. Finally, we discuss the potential of the hybrid method for addressing a wide range of problems in geophysics and engineering.