Linear complementarity formulation for 3D frictional sliding problems |
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Authors: | J Ole Kaven Stephen H Hickman Nicholas C Davatzes Ovunc Mutlu |
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Institution: | 1.U.S.G.S Earthquake Science Center,Menlo Park,USA;2.Earth and Environmental Science,Temple University,Philadelphia,USA;3.Weatherford International,Houston,USA |
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Abstract: | Frictional sliding on quasi-statically deforming faults and fractures can be modeled efficiently using a linear complementarity
formulation. We review the formulation in two dimensions and expand the formulation to three-dimensional problems including
problems of orthotropic friction. This formulation accurately reproduces analytical solutions to static Coulomb friction sliding
problems. The formulation accounts for opening displacements that can occur near regions of non-planarity even under large
confining pressures. Such problems are difficult to solve owing to the coupling of relative displacements and tractions; thus,
many geomechanical problems tend to neglect these effects. Simple test cases highlight the importance of including friction
and allowing for opening when solving quasi-static fault mechanics models. These results also underscore the importance of
considering the effects of non-planarity in modeling processes associated with crustal faulting. |
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