scholarly journals Causal Stroh formalism for uniformly-moving dislocations in anisotropic media: Somigliana dislocations and Mach cones

Wave Motion ◽  
2017 ◽  
Vol 68 ◽  
pp. 128-148 ◽  
Author(s):  
Yves-Patrick Pellegrini
Keyword(s):  
Anisotropic Media ◽  
Stroh Formalism ◽  
Mach Cones

scholarly journals Uniformly moving non-singular dislocations with elliptical core shape in anisotropic media

2018 ◽  
Vol 03 (03n04) ◽  
pp. 1840004 ◽  
Author(s):  
Yves-Patrick Pellegrini
Keyword(s):  
Slip Plane ◽  
Anisotropic Media ◽  
Dislocation Core ◽  
Anisotropic Elasticity ◽  
Dissipative Force ◽  
Stroh Formalism ◽  
Arbitrary Orientation ◽  
Scale Parameters ◽  
Wave Velocities ◽  
Elliptical Core

To allow for “relativistic”-like core contraction effects, an anisotropic regularization of steadily moving straight dislocations of arbitrary orientation is introduced, with two scale parameters [Formula: see text] and [Formula: see text] along the direction of motion and transverse to it, respectively. The dislocation core shape is an ellipse. When [Formula: see text], the model reduces to the Peierls–Eshelby dislocation, the fields of which are non-differentiable on the slip plane. For finite [Formula: see text] and [Formula: see text], fields are everywhere differentiable. Applying the author’s so-called “causal” Stroh formalism to the model, explicit expressions for the regularized fields in anisotropic elasticity are derived for any velocity. For faster-than-wave velocities, Mach-cone angles are found insensitive to the ratio [Formula: see text], as must be. However, the larger [Formula: see text], the weaker the intensity of the cone branches. An expression is given for the radiative dissipative force opposed to motion. From this expression, it is inferred that the concept of a “radiation-free” intersonic velocity can, when not applicable, be replaced by that of a “least-radiation” velocity.

EXPONENTIAL STRIKE-SLIP DISLOCATION MODEL IN DISSIMILAR ANISOTROPIC MEDIA

2016 ◽  
Vol 72 (12) ◽  
Author(s):  
Dinesh Kumar Madan ◽  
Poonam Arya ◽  
N. R. Garg
Keyword(s):  
Anisotropic Media ◽  
Strike Slip ◽  
Dislocation Model ◽  
Slip Dislocation
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