This work deals with the interaction of P-waves between a moving central crack and a pair of outer cracks situated at the interface of an orthotropic layer and an elastic half-space. Initially, we considered a two-dimensional elastic wave equation in orthotropic medium. The Fourier transform has been applied to convert the basic problem to solve the set of four integral equations. These set of ...

Abstract An efficient approach based on the path-independent interaction-integral ( I -integral) is suggested for assessing crack tip loading in elastic structures without having to geometrically model a physical crack. Exploiting just solution of uncracked structure, -integral adapted incorporating closed formulation stress and displacement fields an auxiliary crack, which this interpreted as ...

In the present research, a fully Automatic crack propagation as one of the most complicated issues in fracture mechanics is studied whether there is an inclusion or no inclusion in the structures. In this study The Extended Finite Element Method (XFEM) is utilized because of several drawbacks in standard finite element method in crack propagation modeling. Estimated Crack paths are obtained by ...

Fuzzy measure and fuzzy integral theory is an outgrowth of classical measure theory and has found applications in image processing and information fusion. This paper presents the review of a study on the development of a machinery fault diagnosis application of fuzzy measures and fuzzy integrals. Fuzzy measures and fuzzy integrals take into account the index of importance of criteria and intera...

Recombination of evolutionarily unrelated domains is a mechanism often used by evolution to produce variety in soluble proteins. By using a classification of polytopic transmembrane domains into families, we examined integral membrane proteins for evidence of this mechanism. Surprisingly, we found that domain recombination is not common for the transmembrane regions of membrane proteins, a majo...

We propose a method to treat the three-gluon self-interaction vertex in the position space in D = 4− 2ǫ dimensions. As an example, we calculate a two-loop contribution to auxiliary Lcc vertex in the Landau gauge which contains the three-gluon vertex for SU(N) YangMills theory. We represent the integral expression as a sum of separate contributions so that each of the contributions is a double f...

Photon-induced near-field electron microscopy (PINEM) enables the visualization of the plasmon fields of nanoparticles via measurement of photon-electron interaction [S. T. Park et al., New J. Phys. 12, 123028 (2010)]. In this paper, the field integral, which is a mechanical work performed on a fast electron by the total electric field, plays a key role in understanding the interaction. Here, w...