Dynamic mortar finite element method for modeling of shear rupture on frictional rough surfaces
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Author(s)
Hager, Bradford H
Tal, Yuval
Date Issued
September 2017
Journal
Computational Mechanics
Publisher
Springer Berlin Heidelberg
Citation
Tal, Yuval, and Bradford H. Hager. “Dynamic Mortar Finite Element Method for Modeling of Shear Rupture on Frictional Rough Surfaces.” Computational Mechanics 61, no. 6 (September 9, 2017): 699–716.
Version
Author's final manuscript
Abstract
This paper presents a mortar-based finite element formulation for modeling the dynamics of shear rupture on rough interfaces governed by slip-weakening and rate and state (RS) friction laws, focusing on the dynamics of earthquakes. The method utilizes the dual Lagrange multipliers and the primal–dual active set strategy concepts, together with a consistent discretization and linearization of the contact forces and constraints, and the friction laws to obtain a semi-smooth Newton method. The discretization of the RS friction law involves a procedure to condense out the state variables, thus eliminating the addition of another set of unknowns into the system. Several numerical examples of shear rupture on frictional rough interfaces demonstrate the efficiency of the method and examine the effects of the different time discretization schemes on the convergence, energy conservation, and the time evolution of shear traction and slip rate.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00466-017-1475-3
