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Degenerate
orthotropic materials in the Stroh formalism for steady state
problems
Xu Wang and Peter Schiavone |
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Vol. 16 (2021), No. 4, 441–449
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Abstract |
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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. |
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Keywords
degenerate orthotropic material, complex variable
formulation, crack, Green's function
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Milestones
Received: 1 February 2021
Revised: 3 April 2021
Accepted: 29 April 2021
Published: 26 September 2021
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Authors |
| Xu Wang | |
| School of Mechanical and Power
Engineering East China University of Science and Technology 130 Meilong Road Shanghai, 200237 China |
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| Peter Schiavone | |
| Department of Mechanical
Engineering University of Alberta 10-203 Donadeo Innovation Center for Engineering Edmonton, AB T6G 1H9 Canada |
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