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...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2013. |
| سلاسل: | Interaction of Mechanics and Mathematics
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
| LEADER | 04552nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 945799 | ||
| 008 | 130325q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN168328305 | ||
| 020 | |a 9783642352454 | ||
| 041 | 0 | |a eng | |
| 082 | |a 620.1 | ||
| 100 | 1 | |a Novotny, Antonio André, |d 19..-...., |c professeur de mécanique. | |
| 245 | 1 | 0 | |a Topological Derivatives in Shape Optimization |c by Antonio André Novotny, Jan Sokołowski. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Interaction of Mechanics and Mathematics | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, sensitivity analysis in fracture mechanics and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested in the mathematical aspects of topological asymptotic analysis as well as in applications of topological derivatives in computational mechanics | ||
| 650 | |a Asymptotes | ||
| 650 | |a Topologie | ||
| 700 | 1 | |a Sokolowski, Jan, |d 19..-...., |c auteur en informatique. |4 aut | |
| 776 | 0 | |0 166788619 |t Topological derivatives in shape optimization |f Antonio André Novotny and Jan Sokołowski |d 2013 |c Heidelberg |n Springer |p 1 volume (xxi-412 pages) |s Interaction of mechanics and mathematics |z 978-3-642-35244-7 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-35245-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-76VZ3NGW-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747922632 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-35245-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750934956 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-35245-4 |z Accès INSA CVL | |
| 997 | |0 945799 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||