The scattering of SH-waves by a Griffith crack in an infinitely long elastic strip situated at an asymmetric position has been analyzed. Applying Fourier transform, the mixed boundary value problem has been reduced to the solution of dual integral equations which finally has been reduced to the solution of a Fredholm integral equation of second kind. The numerical values of stress intensity fac...

The propagation of low frequency or long wavelength disturbances in periodically layered media is considered. An asymptotic series is derived for the frequency of the first branch of the Bloch wave spectrum. The expansion is in dimensionless wavenumber and is developed explicitly for SH waves traveling obliquely through layerings with arbitrary periodic stratification. The first dispersive term...

The work is concerned with the characterization of a Kirchhoff diffraction field in a piezoelectric material. An exact solution is obtained for the full scattering fields around the tip of a semi-infinite crack, which is electrically conducting and is loaded with both SH acoustic incident waves and in-plane electrical incident waves. First, it is found that a conducting crack in a piezoelectric...

In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on modified couple stress theory. A higher efficient computational approach, extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This does not need solve FG hierarchically, which provides a more realisti...

Abstract In this paper, the geometrical effects of shallow twin lined tunnels with different cross sections are investigated to obtain anti-plane seismic ground motion under vertical/horizontal incident plane SH waves. A model long two-dimensional is established and embedded in a homogeneous linear elastic half-plane by an applied numerical time-domain boundary element approach. addition brief ...

Purpose. To indentify the best shallot cultivars and local forms by growing period length, bulb yield, leaf productivity, weight number per clump in Right-Bank Forest-Steppe of Ukraine. Methods. Statistical processing, field assessments, computational analytical methods. Results. Collection accessions were evaluated for lengthand, weight, performance. Earlyripening accession ‘Sh-8’ with a veget...

Suppose we are given a family of choice functions on pairs from a given finite set (with at least three elements) closed under permutations of the given set. The set is considered the set of alternatives (say candidates for an office). The question is, what are the choice functions c on pairs of this set of the following form: for some (finite) family of “voters”, each having a preference, i.e....