Nonconvex Optimization in Mechanics

Algorithms, Heuristics and Engineering Applications by the F.E.M.
Softcover Nachdruck of the original 1. Auflage 1998
ISBN: 978-1-4613-7672-9
Verlag: Springer US

Buch, Englisch, Band 21, 288 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 476 g

Reihe: Nonconvex Optimization and Its Applications

Nonconvexity and nonsmoothness arise in a large class of engineering applica­ tions. In many cases of practical importance the possibilities offered by opti­ mization with its algorithms and heuristics can substantially improve the per­ formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehensive way the application of opti­ mization algorithms and heuristics in smooth and nonsmooth mechanics. The necessity of this approach is presented to the reader through simple, represen­ tative examples. As things become more complex, the necessary material from convex and nonconvex optimization and from mechanics are introduced in a self-contained way. Unilateral contact and friction problems, adhesive contact and delamination problems, nonconvex elastoplasticity, fractal friction laws, frames with semi­ rigid connections, are among the applications which are treated in details here. Working algorithms are given for each application and are demonstrated by means of representative examples. The interested reader will find helpful references to up-to-date scientific and technical literature so that to be able to work on research or engineering topics which are not directly covered here.

Zielgruppe

Research

Autoren/Hrsg.

Stavroulakis, Georgios E.

Mistakidis, E.S.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Technische Wissenschaften Bauingenieurwesen Bauingenieurwesen

Inhaltsverzeichnis

Part I: Nonconvexity in Engineering Applications. 1. Nonconvexity in Engineering Applications. Part II: Applied Nonconvex Optimization Background. 2. Applied Nonconvex Optimization Background. Part III: Superpotential Modelling and Optimization in Mechanics with and without Convexity and Smoothness. 3. Convex Superpotential Problems. 4. Nonconvex Superpotential Problems. 5. Optimal Design Problems. Part IV: Computational Mechanics. Computer Implementation, Applications and Examples. 6. Computational Mechanics Algorithms. 7. Applications. Index.