Ellipsoidal anisotropy in linear elasticity: Approximation models and analytical solutions

Plane wave approximation in linear elasticity

Ellipsoidal-blob approximation of 3D models and its applications

This paper presents a technique for automatically approximating a given mesh model with an ellipsoidal blobby model. Firstly, an ellipsoid decomposition algorithm is introduced to approximate given models by ellipsoids. After that, a blobby implicit surface employing ellipsoidal blobs is modelled to fit the sampling points on the given mesh. Finally, the reconstructed ellipsoidal blobby model i...

Ellipsoidal anisotropy in elasticity for rocks and rock masses Elasticité à anisotropie ellipsoïdale pour les roches et les massifs rocheux

One of the interesting features with the ellipsoidal models of anisotropy presented in this paper is their acceptance of analytical solutions for some of the basic elasticity problems. It was shown by Pouya (2000) and Pouya and Zaoui (2006) that many closed-form solutions for basic problems involving linear isotropic materials could be extended by linear transformation to cover a variety of “el...

Nonlinear ellipsoidal mini-models – application for the function approximation task

Mini-models are local regression models, which can be used for the function approximation learning. In the paper, there are presented mini-models based on hyper-spheres and hyper-ellipsoids and researches were made for linear and nonlinear models with no limitations for the problem input space dimension. Learning of the approximation function based on mini-models is very fast and it proved to h...

Queueing Models Analytical Solutions and Solutions by Simulation

Simple queueing systems are presented as candidates for solution by both analytical and simulation methods. The limitations of the analytical approach are contrasted with the stochastic nature of a simulation solution. A sequence of problems leads from a model which is easily solved analytically to a model which is not amenable to an analytical solution. Simulation output for each problem is co...