Abatraet4omplex variable technique is employed to solve the elastodynamic problems of (I) two equal collinear Griffith cracks, (II) an infinite row of parallel cracks and (III) a "grid" of cracks of equal arms, propping with constant speed in a stressed orthotropic medium. Stress and displacement ~r
Crack propagation in an orthotropic medium
โ Scribed by A. Piva; E. Viola
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 689 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
In
this paper, the partial differential equations related to elastodynamic plane problems in an orthotropic medium are reduced by means of composite transformations to a first order elliptic system of the Cauchy-Riemann type. This result justifies the representation of stress and displacement fields in terms of holomorphic functions defined into appropriate complex domains. The above formulation has been used to solve the boundary value problem concerned with the steady state propagation of a finite straight crack in an orthotropic medium. Some asymptotic results are also represented and briefly discussed.
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