The paper deals with classical problem for cracks dislocated in a certain very specific porous elastic material, described by a Cowin-Nunziato model. We propose a method based upon a reducing of stress concentration problem for cracks to some integral equations. By applying Fourier integral transforms the problem is reduced to some integral equations. For the plane-strain problem we operate wit...

The composite boundary integral equation (BIE) formulation, using a linear combination of the conventional BIE and the hypersingular BIE, emerges as the most effective and efficient formula for acoustic wave problems in an exterior medium which is free of the well-known fictitious eigenfrequency difficulty. The crucial part in implementing this formulation is dealing with the hypersingular inte...

In this paper we consider a direct hypersingular integral approach to solve harmonic problems with nonlinear boundary conditions by using a practical variant of the Galerkin boundary element method. The proposed approach provides an almost optimal balance between the order of convergence and the numerical effort of work to compute the approximate solution. Numerical examples confirm the theoret...

We consider the propagation of quasiparticle excitations in a dipolar Bose-Einstein condensate, and derive nonlocal field theory scattering at stepwise inhomogeneity sound speed, obtained by tuning contact coupling part interaction on one side barrier. To solve this problem $ab$ $initio$, i.e., without prior assumptions form solutions, we reformulate Bogoliubov-de Gennes equation as singular in...

A classic problem in elastodynamics is the diffraction of time-harmonic stress waves by a pennyshaped crack. It is also a benchmark problem, in that it is the simplest three-dimensional problem for bounded cracks. What happens if the flat circular crack is perturbed? This question motivates the present paper. Recent work is discussed, in which a perturbation theory is developed, based on the go...

A nominally straight crack of finite length is subjected to plane-strain loadings. A perturbation method is developed for calculating the stress-intensity factors, based on an asymptotic analysis of the governing hypersingular boundary integral equation for the crack-opening displacement. Known exact results for a shallow circular-arc crack are recovered, correct to second order in the small ge...

A nominally at penny-shaped crack is subjected to a static loading. A perturbation method is developed for calculating the stress-intensity factors, based on an asymptotic analysis of the governing hypersingular boundary integral equation for the crack-opening displacement. Comparisons with known exact solutions for an inclined at elliptical crack and for a crack in the shape of a spherical cap...