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Nonconvex Optimization in Mechanics: Algorithms, Heuristics and Engineering Applications by the F.E.M. - Softcover
Synopsis
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 modeling 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. Semi-rigid connections in civil engineering structures, a topic recently introduced by design specification codes, complete analysis of composites, and innovative topics on elastoplasticity, damage and optimal design are also represented in detail. Audience: The book will 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.
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Review
`... 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)
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