Nonconvex Optimization in Mechanics

Algorithms, Heuristics and Engineering Applications by the F.E.M.

Inbunden, Engelska, 1997

Av E.S. Mistakidis, Georgios E. Stavroulakis, E. S. Mistakidis, E S Mistakidis, Georgios E Stavroulakis

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This book presents, in a comprehensive way, the application of optimization algorithms and heuristics in engineering problems involving smooth and nonsmooth energy potentials. These problems arise in real-life modelling of civil engineering and engineering mechanics applications. Engineers will gain an insight into the theoretical justification of their methods and will find numerous extensions of the classical tools proposed for the treatment of novel applications with significant practical importance. Applied mathematicians and software developers will find a rigorous discussion of the links between applied optimization and mechanics which will enhance the interdisciplinary development of new methods and techniques. Among the large number of concrete applications are unilateral frictionless, frictional or adhesive contact problems, and problems involving complicated friction laws and interface geometries which are treated by the application of fractal geometry. The book should be of interest to researchers in mechanics, civil, mechanical and aeronautical engineers, as well as applied mathematicians.It is suitable for advanced undergraduate and graduate courses in computational mechanics, focusing on nonlinear and nonsmooth applications, and as a source of examples for courses in applied optimization.

Produktinformation

Utgivningsdatum1997-12-31
Mått155 x 235 x 19 mm
Vikt612 g
FormatInbunden
SpråkEngelska
SerieNonconvex Optimization and Its Applications
Antal sidor288
Upplaga1998
FörlagKluwer Academic Publishers
ISBN9780792348122

Tillhör följande kategorier

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.

'... The book is well written and organized. It presents an important contribution to the growing field of nonsmooth, nonconvex computational mechanics and engineering. The large number of algorithms and heuristics for nonsmooth optimization problems and the many examples give a comprehensive overview of this field.' Pekka Neittaanmaki in Mathematical Reviews, 99b:73032 '... The publication of this book ... is a timely and authoritative introduction to the engineering applications of non-smooth/non-convex mechanics. Written by two relatively young experts in both applied mathematics and mechanics, this book presents both an excellent introduction and comprehensive applications for the wide range of non-smooth/non-convex engineering problems with emphasis on numerical optimization and computational mechanics. ... The publication of this book is definitely an important step in the development of non-smooth/non-convex mechanics ...' Manohar Kamat, David Yang Gao in Applied Mechanics Reviews, 52:6 (1999) '... the authors, who are well-known active researchers in the field, should be congratulated for having tackled the above difficult, useful and timely task and for having achieved their goals to a large extent, and very successfully. ... this book represents, in my opinion, a noteworthy addition to the literature on engineering mechanics and on its mathematical and numerical methodologies. It is bound to be very useful to researchers, industrial analysts and graduate students alike, in mechanics of materials and structures.' Giulio Maier in Meccanica, 34:4 (1999)