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Dynamic mortar finite element method for modeling of shear rupture on frictional rough surfaces

Yuval Tal, & Bradford H. Hager

Published September 9, 2017, SCEC Contribution #9973

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 earth- quakes. The method utilizes the dual Lagrange multipliers and the primal–dual active set strategy concepts, together with a consistent discretization and linearization of the con- tact 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 differ- ent time discretization schemes on the convergence, energy conservation, and the time evolution of shear traction and slip rate.

Key Words
Contact, Finite element, Friction, Rupture, Dynamic

Tal, Y., & Hager, B. H. (2017). Dynamic mortar finite element method for modeling of shear rupture on frictional rough surfaces. Computational Mechanics, 61(6), 699-716. doi: 10.1007/s00466-017-1475-3.

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