On the anti-plane shear problem in finite elasticity

1981 ◽  
Vol 11 (2) ◽  
pp. 197-206 ◽  
Author(s):  
Morton E. Gurtin ◽  
Roger Temam
Keyword(s):  
Finite Elasticity ◽  
Plane Shear ◽  
Shear Problem

The Anti-Plane Shear Problem in Nonlinear Elasticity Revisited

2012 ◽  
Vol 113 (2) ◽  
pp. 167-177 ◽  
Author(s):  
Edvige Pucci ◽  
Giuseppe Saccomandi
Keyword(s):  
Nonlinear Elasticity ◽  
Plane Shear ◽  
Shear Problem

The Anti-Plane Shear Problem of Two Symmetric Cracks Originating from an Elliptical Hole in 1D Hexagonal Piezoelectric QCs

2014 ◽  
Vol 936 ◽  
pp. 127-135 ◽  
Author(s):  
Juan Yang ◽  
Xing Li
Keyword(s):  
Electric Displacement ◽  
Elliptical Hole ◽  
Shear Loading ◽  
Intensity Factors ◽  
Plane Shear ◽  
Complex Variable Function ◽  
Phonon Field ◽  
Variable Function ◽  
Complex Variable Function Method ◽  
Shear Problem

Using the complex variable function method and the technique of conformal mapping, the fracture mechanics of two symmetric collinear cracks originating from an elliptical hole in a one-dimensional (1D) hexagonal piezoelectric quasicrystals (QCs) are investigated under anti-plane shear loading and electric loading. The crack is assumed to be either electrical impermeable or permeable. The exact solutions in closed-form of the stress intensity factors (SIFs) of the phonon field and the phason field, and the electric displacement intensity factors (EDIFs) are obtained. In the limiting cases, the new results such as Griffith crack, a circular hole with equal two edge cracks and cross crack can be obtained from the present solutions. In the absence of the phason field, the obtainable results in this paper match with the classical results.

Anti-plane shear problem for an edge crack in a finite orthotropic plate

1992 ◽  
Vol 42 (6) ◽  
pp. 971-976 ◽  
Author(s):  
Y.H. Wang ◽  
Y.K. Cheung ◽  
C.W. Woo
Keyword(s):  
Edge Crack ◽  
Orthotropic Plate ◽  
Plane Shear ◽  
Shear Problem
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