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  • Format: ePub

This book presents a comprehensive methodology for dealing with nonsmooth behaviors in mechanics, in accordance with contemporary theory and algorithms of optimization. Delving into both theoretical studies and numerical algorithms to provide a new perspective on the subject, this book addresses how linear, semidefinite, and second-order cone optimizations are applied to real-world problems in nonsmooth mechanics. It also covers complementarity problems, optimality conditions, Fenchel and Lagrangian dualities, and algorithms in optimization. The author also explores working with many practical…mehr

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Produktbeschreibung
This book presents a comprehensive methodology for dealing with nonsmooth behaviors in mechanics, in accordance with contemporary theory and algorithms of optimization. Delving into both theoretical studies and numerical algorithms to provide a new perspective on the subject, this book addresses how linear, semidefinite, and second-order cone optimizations are applied to real-world problems in nonsmooth mechanics. It also covers complementarity problems, optimality conditions, Fenchel and Lagrangian dualities, and algorithms in optimization. The author also explores working with many practical applications in structural engineering, including cable networks, membranes, masonry structures, contact problems, and plasticity. This is an ideal guide to nonsmooth mechanics for graduate students and researchers in computational and applied mechanics, applied mathematics, and operations research.

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Autorenporträt
Yoshihiro Kanno is an associate professor in the Department of Mathematical Informatics at the University of Tokyo, Japan. Dr. Kanno received his Ph.D in structural engineering from Kyoto University, Japan, in 2002. He received the Maeda Prize in Engineering in 2005 and CJK-OSM4 Award for Young Investigator in 2006.

The author and coauthor of numerous professional articles on applied mechanics and optimization, Dr. Kanno's research interest is in the interface between mechanics and mathematics. He is a member of the International Society for Structural and Multidisciplinary Optimization, the Japan Society of Mechanical Engineers, the Architectural Institute of Japan, and the Operations Research Society of Japan.