Diffractions of Horizontal Shear Waves by a Parabolic Cylinder and Dynamic Stress Concentrations

1966 ◽  
Vol 33 (4) ◽  
pp. 785-792 ◽  
Author(s):  
S. A. Thau ◽  
Yih-Hsing Pao
Keyword(s):  
Dynamic Stress ◽  
Shear Waves ◽  
Wave Number ◽  
Parabolic Cylinder ◽  
Horizontal Shear ◽  
Stress Concentrations ◽  
Infinite Line ◽  
Rigid Ribbon ◽  
Line Crack ◽  
Dynamic Stress Concentrations

Diffractions of horizontally polarized shear waves by a parabolic cylinder are studied by using the expansion of solutions to the wave equation in terms of Weber’s functions. The parabolic cylinder is either empty or filled with rigid material. Also, the problems of a semi-infinite line crack and a semi-infinite rigid ribbon as two limiting cases are treated. Displacements and stresses are calculated near the base of the parabola. In the case of a line crack or a rigid ribbon, the singular behavior of stresses is shown to be of the order of (kr)−1/2, where k is the wave number and r the distance from the tip.

Dynamic Stresses Around Elliptical Discontinuities

1972 ◽  
Vol 39 (1) ◽  
pp. 133-138 ◽  
Author(s):  
K. R. Schroll ◽  
S. L. Cheng
Keyword(s):  
Maximum Stress ◽  
Dynamic Stress ◽  
Wave Number ◽  
Stress Concentrations ◽  
Dynamic Stresses ◽  
Source Distance ◽  
Unbounded Elastic Medium ◽  
P And Sv Waves ◽  
Maximum Stresses ◽  
Dynamic Stress Concentrations

The influence of an elliptical discontinuity on the stress distribution in an otherwise uninterrupted and unbounded elastic medium subjected to the passage of both P- and SV-waves is examined. The elliptical scatterer is either empty or filled with a rigid and infinitely dense material. Ratios of the maximum stresses on the elliptical scatterer boundary to the maximum stress of the incident wave are computed to demonstrate the effect of dynamic stress concentrations. Results are presented which show the influence on the stresses of the ellipse eccentricity, the normalized wave number as well as the ratio of nondimensional source distance to wavelength.

Diffraction of Plane Compressional Waves by an Array of Nanosized Cylindrical Holes

2010 ◽  
Vol 78 (2) ◽  
Author(s):  
Q. F. Zhang ◽  
G. F. Wang ◽  
P. Schiavone
Keyword(s):  
Surface Energy ◽  
Dynamic Stress ◽  
Surface Elasticity ◽  
Expansion Method ◽  
Stress Concentrations ◽  
Compressional Waves ◽  
Circular Holes ◽  
Cylindrical Holes ◽  
Effect Of Surface ◽  
Dynamic Stress Concentrations

When the radius of a hole reduces to nanometers, the influence of surface energy becomes prominent in its mechanical behavior. In the present paper, we consider the diffraction of plane compressional waves by an array of nanosized circular holes in an elastic medium. The effect of surface energy is taken into account through surface elasticity theory. Using the wave expansion method, we derive the corresponding elastic diffraction fields. Dynamic stress concentrations around the holes and the scattering cross section are calculated to address the surface effects on the diffraction phenomena.

Dynamic Stress Concentrations at Circular Holes in Struts

1965 ◽  
Vol 7 (1) ◽  
pp. 23-27 ◽  
Author(s):  
J. W. Dally ◽  
W. F. Halbleib
Keyword(s):  
Fringe Pattern ◽  
Dynamic Stress ◽  
Static Stress ◽  
Stress Concentrations ◽  
Circular Holes ◽  
The Difference ◽  
Dynamic Stress Concentrations

Dynamic stress concentrations were determined for a strut with a centrally located hole by employing photoelastic measurements. Single spark photography together with controlled repeated loadings on Columbia resin CR-39 models was utilized to obtain the dynamic fringe pattern. In general, it was found that the dynamic stress concentrations differed significantly from the static stress concentrations. The difference depended upon the geometry of the model and the location at the boundary of the hole.

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