# Dynamic anti-plane sliding of dissimilar anisotropic linear elastic solids

Source: [Dynamic anti-plane sliding of dissimilar anisotropic linear elastic solids](<https://www.sota2.com/research/paper/68fa23782c2a37601939818e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:31.737Z

Authors: K. Ranjith

Published: 2008-10-11T06:15:10.000Z

## Abstract

The stability of steady, dynamic, anti-plane slipping at a planar interface between two dissimilar anisotropic linear elastic solids is studied. The solids are assumed to possess a plane of symmetry normal to the slip direction, so that in-plane displacements and normal stress changes on the slip plane do not occur. Friction at the interface is assumed to follow a rate and state dependent law with velocity-weakening behavior in the steady state. The stability to spatial perturbations of the form exp(ikx\_1), where k is the wavenumber and x\_1 is the coordinate along the interface is studied. The critical wavenumber magnitude, \|k\|\_cr, above which there is stability and the corresponding phase velocity, c, of the neutrally stable mode are obtained from the stability analysis. Numerical plots showing the dependence of \|k\|\_cr and c on the unperturbed sliding velocity, V\_o, are provided for various bi-material combinations of practical interest.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0810.2003>)

[PDF](<https://arxiv.org/pdf/0810.2003.pdf>)