Linear complementarity formulation for 3D frictional sliding problems
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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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Linear complementarity formulation for 3D frictional sliding problems |
| Series title | Computational Geosciences |
| DOI | 10.1007/s10596-011-9272-0 |
| Volume | 16 |
| Issue | 3 |
| Year Published | 2012 |
| Language | English |
| Publisher | Springer |
| Contributing office(s) | Earthquake Science Center |
| Description | 12 p. |
| First page | 613 |
| Last page | 624 |
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