The cavity expansion approach has been a popular tool to interpret wide range of geotechnical problems over the last several decades. Most previous research focused on cylindrical and/or spherical cavities, whereas nonstandard cavities have received much less attention. To address this shortcoming, paper presents general theoretical framework for two-dimensional (2D) displacement-controlled und...

Abstract We consider what we term existence-constrained semi-infinite programs. They contain a finite number of (upper-level) variables, regular objective, and existence constraints. These constraints assert that for all (medial-level) variable values from set infinite cardinality, there must exist (lower-level) second satisfy an inequality. Existence-constrained programs are generalization pro...

Abstract A numerically efficient, semi‐analytical solution of the Reynolds equation for hydrodynamic journal bearings is developed based on Scaled Boundary Finite Element Method. The pressure field discretized along circumferential coordinate lubrication gap, while an analytical formulation used in axial direction. system inhomogeneous ordinary differential equations obtained, which solved unde...

in this research three-dimensional free vibration analysis of functionally graded circular plate with various boundary conditions is achieved. a semi-analytical method, which makes use of the state space method and the one-dimensional differential quadrature method, is used to obtain the vibration frequencies and dynamic responses of circular plates. numerical results are given to demonstrate t...

in this paper we propose a relatively new semi-analytical technique to approximate the solution ofnonlinear multi-order fractional differential equations (fdes). we present some results concerning to the uniqueness of solution of nonlinear multi-order fdes and discuss the existence of solution for nonlinear multi-order fdes in reproducing kernel hilbert space (rkhs). we further give an error an...

In this paper, we propose Hermite collocation method for solving Thomas-Fermi equation that is nonlinear ordinary differential equation on semi-infinite interval. This method reduces the solution of this problem to the solution of a system of algebraic equations. We also present the comparison of this work with solution of other methods that shows the present solution is more accurate and faste...

In this paper, we prove that a real tensor is strictly semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any nonnegative vector and a real tensor is semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any positive vector. It is showed that a real symmetric tensor is a (strictly) semi-positi...

Cubic Schrödinger equations with small initial data (or small nonlinearity) and their spectral semi-discretizations in space are analyzed. It is shown that along both, the solution of the nonlinear Schrödinger equation as well as the solution of the semi-discretized equation, the actions of the linear Schrödinger equation are approximately conserved over long times. This also allows to show app...