Exact solution of the problem of stretching a half-plane with a crack reaching the boundary

1975 ◽  
Vol 11 (2) ◽  
pp. 221-222
Author(s):  
Yu. Z. Povstenko
Keyword(s):  
Exact Solution ◽  
Half Plane

A Diffraction Problem and Crack Propagation

1967 ◽  
Vol 34 (1) ◽  
pp. 100-103 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Crack Propagation ◽  
Elastic Medium ◽  
Half Plane ◽  
Diffraction Problem ◽  
Shear Waves ◽  
Stress Waves ◽  
Plane Crack ◽  
Antiplane Strain

The exact solution to the problem of diffraction of plane harmonic polarized shear waves by a half-plane crack extending under antiplane strain is constructed. The solution is employed to study the nature of the stress field associated with an extending crack in an elastic medium excited by stress waves.

ON SOLVABILITY OF SOME BOUNDARY PROBLEM

2020 ◽  
Vol 54 (1 (251)) ◽  
pp. 29-34
Author(s):  
A.H. Kamalyan ◽  
M.I. Karakhanyan
Keyword(s):  
Exact Solution ◽  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Sobolev Space ◽  
Boundary Problem ◽  
Half Plane ◽  
Two Dimensional

We constract the exact solution of the Dirichlet problem in the Sobolev space for two-dimensional elliptic equation considered on the half-plane.

Leaky and surface wave diffraction by an asymmetric impedance half plane

1983 ◽  
Vol 61 (6) ◽  
pp. 906-918
Author(s):  
W. Nasalski
Keyword(s):  
Exact Solution ◽  
Surface Wave ◽  
Half Plane ◽  
Wave Diffraction ◽  
Isotropic Medium ◽  
Diffraction Problem ◽  
Optical Field ◽  
Point Of View ◽  
Leaky Wave ◽  
Uniqueness Of The Solution

An exact solution is obtained for the problem of a leaky or surface wave incident on an impedance half plane in a homogeneous, isotropic medium. The impedance half plane is asymmetric, i.e., with different constant surface impedances at the upper and lower faces, respectively. The incident leaky wave propagates in a direction normal to the edge of the half plane.The diffraction problem leads to a set of two coupled Wiener–Hopf equations, from which two Hilbert problems on a new contour are obtained and solved. The Wiener–Hopf–Hilbert method is used. Expressions for the geometrical optical field are also derived and results arc discussed from the point of view of the uniqueness of the solution.

Sign in / Sign up

Export Citation Format

Share Document