Vol. 16, No. 4, 2021

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Degenerate orthotropic materials in the Stroh formalism for steady state problems

Xu Wang and Peter Schiavone

Vol. 16 (2021), No. 4, 441–449
DOI: 10.2140/jomms.2021.16.441

A complex variable formulation is developed for the in-plane steady state motion of degenerate orthotropic materials. The in-plane stresses, displacements and stress functions can be expressed concisely in terms of two analytic functions of a single complex variable. Using this formulation, we derive explicit expressions representing the asymptotic stresses and displacements for a crack running at a constant speed in a degenerate orthotropic material, and obtain the Green’s functions for a degenerate orthotropic plane or half-plane subjected to a uniformly moving in-plane line force and/or edge dislocation.

degenerate orthotropic material, complex variable formulation, crack, Green's function
Received: 1 February 2021
Revised: 3 April 2021
Accepted: 29 April 2021
Published: 26 September 2021
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
130 Meilong Road
Shanghai, 200237
Peter Schiavone
Department of Mechanical Engineering
University of Alberta
10-203 Donadeo Innovation Center for Engineering
Edmonton, AB T6G 1H9