HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Domain decomposition method for dynamic faulting under slip-dependent friction

Abstract : The anti-plane shearing problem on a system of finite faults under a slip-dependent friction in a linear elastic domain is considered. Using a Newmark method for the time discretization of the problem, we have obtained an elliptic variational inequality at each time step. An upper bound for the time step size, which is not a CFL condition, is deduced from the solution uniqueness criterion using the first eigenvalue of the tangent problem. Finite element form of the variational inequality is solved by a Schwarz method assuming that the inner nodes of the domain lie in one subdomain and the nodes on the fault lie in other subdomains. Two decompositions of the domain are analyzed, one made up of two subdomains and another one with three subdomains. Numerical experiments are performed to illustrate convergence for a single time step (convergence of the Schwarz algorithm, influence of the mesh size, influence of the time step), convergence in time (instability capturing, energy dissipation, optimal time step) and an application to a relevant physical problem (interacting parallel fault segments).
Document type :
Journal articles
Complete list of metadata

https://hal-insu.archives-ouvertes.fr/insu-03607125
Contributor : Nathalie Pothier Connect in order to contact the contributor
Submitted on : Saturday, March 12, 2022 - 6:01:50 PM
Last modification on : Sunday, March 13, 2022 - 3:26:22 AM

Links full text

Identifiers

Collections

Citation

Lori Badea, Ioan R. Ionescu, Sylvie Wolf. Domain decomposition method for dynamic faulting under slip-dependent friction. Journal of Computational Physics, 2004, 201, pp.487-510. ⟨10.1016/j.jcp.2004.06.003⟩. ⟨insu-03607125⟩

Share

Metrics

Record views

10