Topological Derivatives in Shape Optimization

• Κύριοι συγγραφείς: Novotny, Antonio André (Συγγραφέας), Sokołowski, Jan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Interaction of Mechanics and Mathematics,
• Θέματα: Engineering.; Mathematical physics.; Computer mathematics.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Computational Science and Engineering.; Mathematical Applications in the Physical Sciences.

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...

Πίνακας περιεχομένων:

• 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.