Topological sensitivity analysis for three-dimensional linear elasticity problem

2007 ◽  
Vol 196 (41-44) ◽  
pp. 4354-4364 ◽  
Author(s):  
A.A. Novotny ◽  
R.A. Feijóo ◽  
E. Taroco ◽  
C. Padra
Keyword(s):  
Sensitivity Analysis ◽  
Linear Elasticity ◽  
Three Dimensional ◽  
Elasticity Problem ◽  
Topological Sensitivity

scholarly journals Shape optimization for the Stokes equations using topological sensitivity analysis

2006 ◽  
Vol Volume 5, Special Issue TAM... ◽  
Author(s):  
Hassine Maatoug
Keyword(s):  
Sensitivity Analysis ◽  
Asymptotic Expansion ◽  
Shape Optimization ◽  
Optimization Problem ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Topological Sensitivity ◽  
Outflow Rate ◽  
International Audience ◽  
Small Obstacle

International audience In this paper, we consider a shape optimization problem related to the Stokes equations. The proposed approach is based on a topological sensitivity analysis. It consists in an asymptotic expansion of a cost function with respect to the insertion of a small obstacle in the domain. The theoretical part of this work is discussed in both two and three dimensional cases. In the numerical part, we use this approach to optimize the shape of the tubes that connect the inlet to the outlets of the cavity maximizing the outflow rate. Dans ce papier, on considère un problème d'optimisation de forme lié aux équations de Stokes. On propose une approche basée sur une analyse de sensibilité topologique. On donne un développement asymptotique d'une fonction coût par rapport à la perturbation du domaine par l'insertion d'un petit obstacle. Des résultats théoriques sont donnés en 2 D et 3 D. Dans la partie numérique, on utilise cette approche pour optimiser la forme des tubes liant l'entrée aux sorties d'une cavité

Topological sensitivity analysis for a three-dimensional parabolic type problem

2020 ◽  
Vol 120 (3-4) ◽  
pp. 249-272
Author(s):  
Emna Ghezaiel ◽  
Mohamed Abdelwahed ◽  
Nejmeddine Chorfi ◽  
Maatoug Hassine
Keyword(s):  
Sensitivity Analysis ◽  
Three Dimensional ◽  
Parabolic Type ◽  
Mathematical Framework ◽  
Arbitrary Form ◽  
Type Problem ◽  
Shape Functions ◽  
Topological Sensitivity ◽  
Application Model ◽  
Topological Asymptotic Expansion

This work focuses on the topological sensitivity analysis of a three-dimensional parabolic type problem. The considered application model is described by the heat equation. We derive a new topological asymptotic expansion valid for various shape functions and geometric perturbations of arbitrary form. The used approach is based on a rigorous mathematical framework describing and analyzing the asymptotic behavior of the perturbed temperature field.

The Boundary Contour Method for Three-Dimensional Linear Elasticity

1996 ◽  
Vol 63 (2) ◽  
pp. 278-286 ◽  
Author(s):  
A. Nagarajan ◽  
S. Mukherjee ◽  
E. Lutz
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Linear Elasticity ◽  
Three Dimensional ◽  
Contour Method ◽  
Boundary Contour ◽  
Boundary Contour Method ◽  
Novel Variant ◽  
Elasticity Problems ◽  
Element Method

This paper presents a novel variant of the boundary element method, here called the boundary contour method, applied to three-dimensional problems of linear elasticity. In this work, the surface integrals on boundary elements of the usual boundary element method are transformed, through an application of Stokes’ theorem, into line integrals on the bounding contours of these elements. Thus, in this formulation, only line integrals have to be numerically evaluated for three-dimensional elasticity problems—even for curved surface elements of arbitrary shape. Numerical results are presented for some three-dimensional problems, and these are compared against analytical solutions.

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