Numerical method for elastic-plastic waves in cracked solids, Part 1: anti-plane shear problem

1993 ◽  
Vol 63 (4-5) ◽  
pp. 261-282 ◽  
Author(s):  
X. Lin ◽  
J. Ballmann
Keyword(s):  
Numerical Method ◽  
Plane Shear ◽  
Elastic Plastic ◽  
Shear Problem ◽  
Cracked Solids

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.

Torsion and Flexure of Slender Solid Sections

1958 ◽  
Vol 25 (1) ◽  
pp. 115-121
Author(s):  
W. J. Carter
Keyword(s):  
Exact Solutions ◽  
Turbine Blades ◽  
Torsion Problem ◽  
Rectangular Section ◽  
Approximate Methods ◽  
Elastic Plastic ◽  
Shear Problem

Abstract The solution of the torsion problem for a slender rectangular section has been made previously by approximate methods based on the Prandtl membrane analogy. In this paper approximate methods are employed in the solution of both the torsion and flexural shear problem for slender sections having a variety of shapes, most of them being doubly symmetric. Solutions obtained in this manner are compared with exact solutions, when these are available, and otherwise with solutions obtained by relaxation. It is shown that approximate methods provide an adequate solution for elements such as compressor-turbine blades when pretwist and taper can be neglected. Some attention is given to the problem of elastic-plastic torsion and elastic-plastic flexural shear of slender sections.

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