Topological Derivatives in Shape Optimization
The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, t...
Uloženo v:
| Hlavní autoři: | , |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2013. |
| Edice: | Interaction of Mechanics and Mathematics
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| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topological derivatives in shape optimization, Antonio André Novotny and Jan Sokołowski, 2013, Heidelberg, Springer, 1 volume (xxi-412 pages), Interaction of mechanics and mathematics, 978-3-642-35244-7 |
Obsah:
- 1, Introduction
- 2, Domain derivation in continuum mechanics
- 3, Material and shape derivatives for boundary value problems
- 4, Singular perturbations of energy functionals
- 5, Configurational perturbations of energy functionals
- 6, Topological derivative evaluation with adjoint states
- 7, Topological derivative for steady-state orthotropic heat diffusion problems
- 8, Topological derivative for three-dimensional linear elasticity problems
- 9, Compound asymptotic expansions for spectral problems
- 10, Topological asymptotic analysis for semilinear elliptic boundary value problems
- 11, Topological derivatives for unilateral problems
- A, Auxiliary results for spectral problems
- B, Spectral problem for the Neumann Laplacian
- C, Spectral problems in elasticity
- D, Polarization tensor in elasticity
- E, Compound asymptotic expansions for semilinear problems
- F, Sensitivity analysis for variational inequalities
- G, Tensor calculus