Boundary integral equations in elastodynamics of interface cracks

2008 ◽  
Vol 366 (1871) ◽  
pp. 1835-1839 ◽  
Author(s):  
O.V Menshykov ◽  
I.A Guz ◽  
V.A Menshykov
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Harmonic Loading ◽  
Interface Cracks ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Cracked Solids

The paper concerns the validation of a method for solving elastodynamics problems for cracked solids. The proposed method is based on the application of boundary integral equations. The problem of an interface penny-shaped crack between two dissimilar elastic half-spaces under harmonic loading is considered as an example.

Effect of Contact Interaction on the Stress Intensity Factors for a Crack under Harmonic Loading

2006 ◽  
Vol 5-6 ◽  
pp. 173-180 ◽  
Author(s):  
O.V. Menshykov ◽  
I.A. Guz
Keyword(s):  
Contact Interaction ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Harmonic Loading ◽  
Dynamic Problems ◽  
Intensity Factors ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Cracked Solids ◽  
Crack Faces

This paper concerns fracture dynamic problems for elastic cracked solids with allowance for crack faces contact interaction. The contact problem for a penny-shaped crack with an initial opening under normally incident tension-compression wave is solved by the method of boundary integral equations. The solution is compared with those obtained without allowance for crack faces contact interaction for various values of the initial opening.

Closed-form solutions of an elliptical crack subjected to coupled phonon–phason loadings in two-dimensional hexagonal quasicrystal media

2018 ◽  
Vol 24 (6) ◽  
pp. 1821-1848 ◽  
Author(s):  
Yuan Li ◽  
CuiYing Fan ◽  
Qing-Hua Qin ◽  
MingHao Zhao
Keyword(s):  
Closed Form ◽  
Integral Equations ◽  
Analytical Solutions ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Elliptical Crack ◽  
Two Dimensional ◽  
Crack Face ◽  
Penny Shaped Crack ◽  
Crack Problems

An elliptical crack subjected to coupled phonon–phason loadings in a three-dimensional body of two-dimensional hexagonal quasicrystals is analytically investigated. Owing to the existence of the crack, the phonon and phason displacements are discontinuous along the crack face. The phonon and phason displacement discontinuities serve as the unknown variables in the generalized potential function method which are used to derive the boundary integral equations. These boundary integral equations governing Mode I, II, and III crack problems in two-dimensional hexagonal quasicrystals are expressed in integral differential form and hypersingular integral form, respectively. Closed-form exact solutions to the elliptical crack problems are first derived for two-dimensional hexagonal quasicrystals. The corresponding fracture parameters, including displacement discontinuities along the crack face and stress intensity factors, are presented considering all three crack cases of Modes I, II, and III. Analytical solutions for a penny-shaped crack, as a special case of the elliptical problem, are given. The obtained analytical solutions are graphically presented and numerically verified by the extended displacement discontinuities boundary element method.

scholarly journals Boundary integral equations for an interface linear crack under harmonic loading

2010 ◽  
Vol 234 (7) ◽  
pp. 2279-2286 ◽  
Author(s):  
I.I. Mykhailova ◽  
O.V. Menshykov ◽  
M.V. Menshykova ◽  
I.A. Guz
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Harmonic Loading
Sign in / Sign up

Export Citation Format

Share Document