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Abstract
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.
Keywords
degenerate orthotropic material, complex variable
formulation, crack, Green's function
Milestones
Received: 1 February 2021
Revised: 3 April 2021
Accepted: 29 April 2021
Published: 26 September 2021