For a plate subject to stress boundary condition, the deformation determined by the Reissner–Mindlin plate bending model could be bending dominated, transverse shear dominated, or neither (intermediate), depending on the load. We show that the Reissner–Mindlin model has a wider range of applicability than the Kirchhoff–Love model, but it does not always converge to the elasticity theory. In the...

In this paper, we determine the Randić energy of m-splitting graph, m-shadow graph and m-duplicate a given m being an arbitrary integer. Our results allow construction infinite sequence graphs having same energy. Further, some invariants like degree Kirchhoff index, Kemeny’s constant number spanning trees special graphs. From our results, indicate how to obtain infinitely many pairs equienerget...

I present a method for anti-aliasing Kirchhoff imaging operators that improves the resolution of the image by properly imaging aliased components of the recorded data that would be suppressed by standard anti-aliasing methods for Kirchhoff operators. The proposed method succeeds in imaging “beyond aliasing” without generating aliasing noise because it exploits a priori knowledge on the dipspect...

In this paper‎, ‎we consider the following Kirchhoff-type equations‎: ‎$-‎left(a+bint_{mathbb{R}^{3}}|nabla u|^{2}right)Delta u+V(x) u=lambda$ $f(x,u)+u^{5}‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$u(x)>0‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$uin H^{1}(mathbb{R}^{3})‎ ,‎$ ‎ ‎‎‎where $a,b>0$ are constants and $lambda$ is a positive parameter‎. ‎The aim of this paper is to study the existence of positive ...

The Kirchhoff-Love plate model is a widely used in the analysis of thin elastic plates. It is well known that Kirchhoff-Love solutions can be viewed as certain limits of displacements and stresses for elastic plates where the thickness tends to zero. In this paper, we consider the problem from a different point of view and derive computable upper bounds of the difference between the exact three...

In this article, we study a Kirchhoff type problem with a positive parameter λ,

In this article, we apply the Nehari manifold method to study the Kirchhoff type equation

In this theoretical–experimental study, we use the Fresnel–Kirchhoff diffraction theory to simulate formation of far-field pattern a divergent Gaussian beam propagated through photorefractive crystal Bi 12 GeO 20 (BGO). We show that for BGO, in addition wavefront curvature and change refractive index medium due light intensity, there is third contribution affecting medium-induced nonlinear phas...