Discontinuous deformation with contact and friction using a global finite element enrichment
- Discontinuous deformation occurs ubiquitously in brittle geomaterials such as rocks, ceramics and concrete. Discontinuous deformation manifests itself in a variety of forms, including opening-mode crack or fracture, as well as shear zone when the crack faces close and rub against each other. When the crack faces are in contact, the stick-slip behavior on the interface is governed by the friction law. The crack may propagate under certain driving loads and increase the extent of discontinuous deformation. This dissertation addresses the computational issues surrounding the simulation of the evolution of displacement discontinuity with frictional contact. We incorporate different friction laws and inelastic bulk constitutive laws into a single framework at both small and large deformation, and numerically implement the framework in a fully implicit, robust, efficient and stabilized manner. The friction laws considered in this framework include the classic Coulomb friction law, rate- and state-dependent friction, and slip-weakening law. In the numerical implementation, we utilize the extended finite element method (XFEM), a global finite element enrichment technique, to model the displacement discontinuity with frictional contact. The technique allows an arbitrary propagation of discontinuities within a fixed finite element mesh. However, equal-order interpolation for both the displacement field and the contact pressure field, as naturally adopted in XFEM, violates the Ladyzhenskaya-Babuška-Brezzi stability condition and triggers unphysical oscillations in the contact pressure field. To minimize the unphysical oscillations, we propose a polynomial pressure projection stabilization technique for the frictional contact problem.
|Type of resource
|electronic; electronic resource; remote
|1 online resource.
|Stanford University, Civil & Environmental Engineering Department
|Borja, Ronaldo Israel
|Borja, Ronaldo Israel
|Statement of responsibility
|Submitted to the Department of Civil and Environmental Engineering.
|Thesis (Ph. D.)--Stanford University, 2010.
- © 2010 by Fushen Liu
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