The Experts below are selected from a list of 32178 Experts worldwide ranked by ideXlab platform
Claudio Padra - One of the best experts on this subject based on the ideXlab platform.
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topological sensitivity analysis for three dimensional linear Elasticity Problem
Computer Methods in Applied Mechanics and Engineering, 2007Co-Authors: Antonio Andre Novotny, R A Feijoo, Edgardo Taroco, Claudio PadraAbstract:In this work we use the Topological-Shape Sensitivity Method to obtain the topological derivative for three-dimensional linear Elasticity Problems, adopting the total potential energy as cost function and the equilibrium equation as constraint. This method, based on classical shape sensitivity analysis, leads to a systematic procedure to calculate the topological derivative. In particular, firstly we present the mechanical model, later we perform the shape derivative of the corresponding cost function and, finally, we calculate the final expression for the topological derivative using the Topological-Shape Sensitivity Method and results from classical asymptotic analysis around spherical cavities. In order to point out the applicability of the topological derivative in the context of topology optimization Problems, we use this information as a descent direction to solve a three-dimensional topology design Problem. Furthermore, through this example we also show that the topological derivative together with an appropriate mesh refinement strategy are able to capture high quality shapes even using a very simple topology algorithm.
Javier Oliver - One of the best experts on this subject based on the ideXlab platform.
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topological sensitivity analysis in heterogeneous anisotropic Elasticity Problem theoretical and computational aspects
Computer Methods in Applied Mechanics and Engineering, 2016Co-Authors: S M Giusti, A Ferrer, Javier OliverAbstract:The topological sensitivity analysis for the heterogeneous and anisotropic Elasticity Problem in two-dimensions is performed in this work. The main result of the paper is an analytical closed-form of the topological derivative for the total potential energy of the Problem. This derivative displays the sensitivity of the cost functional (the energy in this case) when a small singular perturbation is introduced in an arbitrary point of the domain. In this case, we consider a small disc with a completely different elastic material. Full mathematical justification for the derived formula, and derivations of precise estimates for the remainders of the topological asymptotic expansion are provided. Finally, the influence of the heterogeneity and anisotropy is shown through some numerical examples of structural topology optimization.
Antonio Andre Novotny - One of the best experts on this subject based on the ideXlab platform.
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topological sensitivity analysis for three dimensional linear Elasticity Problem
Computer Methods in Applied Mechanics and Engineering, 2007Co-Authors: Antonio Andre Novotny, R A Feijoo, Edgardo Taroco, Claudio PadraAbstract:In this work we use the Topological-Shape Sensitivity Method to obtain the topological derivative for three-dimensional linear Elasticity Problems, adopting the total potential energy as cost function and the equilibrium equation as constraint. This method, based on classical shape sensitivity analysis, leads to a systematic procedure to calculate the topological derivative. In particular, firstly we present the mechanical model, later we perform the shape derivative of the corresponding cost function and, finally, we calculate the final expression for the topological derivative using the Topological-Shape Sensitivity Method and results from classical asymptotic analysis around spherical cavities. In order to point out the applicability of the topological derivative in the context of topology optimization Problems, we use this information as a descent direction to solve a three-dimensional topology design Problem. Furthermore, through this example we also show that the topological derivative together with an appropriate mesh refinement strategy are able to capture high quality shapes even using a very simple topology algorithm.
S M Giusti - One of the best experts on this subject based on the ideXlab platform.
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topological sensitivity analysis in heterogeneous anisotropic Elasticity Problem theoretical and computational aspects
Computer Methods in Applied Mechanics and Engineering, 2016Co-Authors: S M Giusti, A Ferrer, Javier OliverAbstract:The topological sensitivity analysis for the heterogeneous and anisotropic Elasticity Problem in two-dimensions is performed in this work. The main result of the paper is an analytical closed-form of the topological derivative for the total potential energy of the Problem. This derivative displays the sensitivity of the cost functional (the energy in this case) when a small singular perturbation is introduced in an arbitrary point of the domain. In this case, we consider a small disc with a completely different elastic material. Full mathematical justification for the derived formula, and derivations of precise estimates for the remainders of the topological asymptotic expansion are provided. Finally, the influence of the heterogeneity and anisotropy is shown through some numerical examples of structural topology optimization.
Edgardo Taroco - One of the best experts on this subject based on the ideXlab platform.
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topological sensitivity analysis for three dimensional linear Elasticity Problem
Computer Methods in Applied Mechanics and Engineering, 2007Co-Authors: Antonio Andre Novotny, R A Feijoo, Edgardo Taroco, Claudio PadraAbstract:In this work we use the Topological-Shape Sensitivity Method to obtain the topological derivative for three-dimensional linear Elasticity Problems, adopting the total potential energy as cost function and the equilibrium equation as constraint. This method, based on classical shape sensitivity analysis, leads to a systematic procedure to calculate the topological derivative. In particular, firstly we present the mechanical model, later we perform the shape derivative of the corresponding cost function and, finally, we calculate the final expression for the topological derivative using the Topological-Shape Sensitivity Method and results from classical asymptotic analysis around spherical cavities. In order to point out the applicability of the topological derivative in the context of topology optimization Problems, we use this information as a descent direction to solve a three-dimensional topology design Problem. Furthermore, through this example we also show that the topological derivative together with an appropriate mesh refinement strategy are able to capture high quality shapes even using a very simple topology algorithm.