Sentence examples for Analytical plane from inspiring English sources

A two step solution strategy is adopted, in which the unit cell problem at the micro-scale is solved once numerically, whereas the macro-scale problem is solved using an analytical plane wave expansion.

In particular, we make use of a multiplicative decomposition of the solution of the Helmholtz equation into an analytical plane wave and a multiplier, which is the solution of a complex-valued advection diffusion reaction equation.

A semi-analytical plane elasticity solution of the circular hole with diametrically opposite notches in a homogeneous and isotropic geomaterial is presented.

A semi-analytical plane hybrid stress element method is developed from the 3D Hellinger Reissner principle for hollow bodies of moderate thickness that possess symmetry of geometry, material properties, loading and constraint conditions to its middle plane.

In the analytical formulation, plane elasticity equations are converted to Cauchy-type singular integral equation of the second type by using Fourier Transform technique.

In this paper, a semi-analytical elastic plane strain solution was provided for stress field around a lined non-circular tunnel subjected to uniform ground load.

Rational B-splines provide a single precise mathematical form capable of representing the common analytical shapes lines, planes, conic curves including circles, free-form curves, quadric, and sculptured surfaces that are used in computer graphics and computer-aided design.

In addition Lakhtakia and Geddes proposed the analytical solution of plane wave scattering from infinite long nihility cylinder [11].

This paper presents an analytical solution for plane elasticity problems of an elliptically cylindrical layered media subject to an arbitrary edge dislocation.

Mechanical analysis adopts an axialsymmetric plane analytical model to compare elastic thermal stress distribution for different stainless steels and to identify AISI 316 as the most suitable material for the PCM container.

The main goal of the study is to elaborate a mathematical model of the compressed circular plate in its middle plane, analytical description and solution of the global buckling problem.