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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...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Interaction of Mechanics and Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Domain Derivation in Continuum Mechanics
- Material and Shape Derivatives for Boundary Value Problems
- Singular Perturbations of Energy Functionals
- Configurational Perturbations of Energy Functionals
- Topological Derivative Evaluation with Adjoint States
- Topological Derivative for Steady-State Orthotropic Heat Diffusion Problems
- Topological Derivative for Three-Dimensional Linear Elasticity Problems
- Compound Asymptotic Expansions for Spectral Problems
- Topological Asymptotic Analysis for Semilinear Elliptic Boundary Value Problems
- Topological Derivatives for Unilateral Problems.