Elastic Plane‐Strain Vibrations of a Hollow Cylinder Bonded to a Thin Shell

1968 ◽  
Vol 43 (5) ◽  
pp. 1180-1182
Author(s):  
G. Anderson
Keyword(s):  
Plane Strain ◽  
Hollow Cylinder ◽  
Thin Shell ◽  
Elastic Plane

Singularities at Grain Triple Junctions in Two-Dimensional Polycrystals With Cubic and Orthotropic Grains

1996 ◽  
Vol 63 (2) ◽  
pp. 295-300 ◽  
Author(s):  
R. C. Picu ◽  
V. Gupta
Keyword(s):  
Grain Boundary ◽  
Plane Strain ◽  
Anisotropic Elasticity ◽  
Symmetric Case ◽  
Elastic Plane ◽  
Two Dimensional ◽  
Triple Junctions ◽  
Stress Singularities ◽  
Plane Strain Deformation ◽  
Singular Configuration

Stress singularities at grain triple junctions are evaluated for various asymmetric grain boundary configurations and random orientations of cubic and orthotropic grains. The analysis is limited to elastic plane-strain deformation and carried out using the Eshelby-Stroh formalism for anisotropic elasticity. For both the cubic and orthotropic grains, the most singular configuration corresponds to the fully symmetric case with grain boundaries 120 deg apart, and with symmetric orientations of the material axes. The magnitude of the singularities are obtained for several engineering polycrystals.

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