Nonsmooth Mechanics and Convex Optimization

  • Producent: Taylor
  • Oprawa: Twarda
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Opis: Nonsmooth Mechanics and Convex Optimization - Yoshihiro Kanno

"This book concerns matter that is intrinsically difficult: convex optimization, complementarity and duality, nonsmooth analysis, linear and nonlinear programming, etc. The author has skillfully introduced these and many more concepts, and woven them into a seamless whole by retaining an easy and consistent style throughout. The book is not all theory: There are many real-life applications in structural engineering, cable networks, frictional contact problems, and plasticity...I recommend it to any reader who desires a modern, authoritative account of nonsmooth mechanics and convex optimization." - Prof. Graham M.L. Gladwell, Distinguished Professor Emeritus, University of Waterloo, Fellow of the Royal Society of Canada "...reads very well-the structure is good, the language and style are clear and fluent, and the material is rendered accessible by a careful presentation that contains many concrete examples. The range of applications, particularly to problems in mechanics, is admirable and a valuable complement to theoretical and computational investigations that are at the forefront of the areas concerned." - Prof. B. Daya Reddy, Department of Mathematics and Applied Mathematics, Director of Centre for Research in Computational and Applied Mechanics, University of Cape Town, South Africa "Many materials and structures (e.g., cable networks, membrane) involved in practical engineering applications have complex responses that cannot be described by smooth constitutive relations...The author shows how these difficult problems can be tackled in the framework of convex analysis by arranging the carefully chosen materials in an elegant way. Most of the contents of the book are from the original contributions of the author. They are both mathematically rigorous and readable. This book is a must-read for anyone who intends to get an authoritative and state-of-art description for the analysis of nonsmooth mechanics problems with theory and tools from convex analysis." - Prof. Xu Guo, State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of TechnologyPart I: Convex Optimization Over Symmetric Cone Cones, Complementarity, and Conic Optimization Proper Cones and Conic Inequalities Complementarity over Cones Positive-Semidefinite Cone Second-Order Cone Conic Constraints and Their Relationship Conic Optimization Optimality and Duality Fundamentals of Convex Analysis Optimality and Duality Application to Semidefinite Programming Applications in Structural Engineering Compliance Optimization Eigenvalue Optimization Set-Valued Constitutive Law Part II: Cable Networks: An Example in Nonsmooth Mechanics Principles of Potential Energy for Cable Networks Constitutive law Potential Energy Principles in Convex Optimization Forms More on Cable Networks: Nonlinear Material Law Duality in Cable Networks: Principles of Complementary Energy Duality in Cable Networks (1): Large Strain Duality in Cable Networks (2): Linear Strain Duality in Cable Networks (3): Green-Lagrange Strain Part III: Numerical Methods Algorithms for Conic Optimization Primal-Dual Interior-Point Method Reformulation and Smoothing Method Numerical Analysis of Cable Networks Cable Networks with Pin-Joint Cable Networks with Sliding Joints Form-Finding of Cable Networks Part IV: Problems in Nonsmooth Mechanics Masonry Structures Introduction Principle of Potential Energy for Masonry Structures Principle of Complementary Energy for Masonry Structures Numerical Aspects Planar Membranes Analysis in Small Deformation Principle of Potential Energy for Membranes Principle of Complementary Energy for Membranes Numerical Aspects Frictional Contact Problems Friction Law Incremental Problem Discussions on Various Complementarity Forms Plasticity Fundamentals of Plasticity Perfect Plasticity Plasticity with Isotropic Hardening Plasticity with Kinematic Hardening


Szczegóły: Nonsmooth Mechanics and Convex Optimization - Yoshihiro Kanno

Tytuł: Nonsmooth Mechanics and Convex Optimization
Autor: Yoshihiro Kanno
Producent: Taylor
ISBN: 9781420094237
Rok produkcji: 2011
Ilość stron: 445
Oprawa: Twarda
Waga: 0.77 kg


Recenzje: Nonsmooth Mechanics and Convex Optimization - Yoshihiro Kanno

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Nonsmooth Mechanics and Convex Optimization

  • Producent: Taylor
  • Oprawa: Twarda

"This book concerns matter that is intrinsically difficult: convex optimization, complementarity and duality, nonsmooth analysis, linear and nonlinear programming, etc. The author has skillfully introduced these and many more concepts, and woven them into a seamless whole by retaining an easy and consistent style throughout. The book is not all theory: There are many real-life applications in structural engineering, cable networks, frictional contact problems, and plasticity...I recommend it to any reader who desires a modern, authoritative account of nonsmooth mechanics and convex optimization." - Prof. Graham M.L. Gladwell, Distinguished Professor Emeritus, University of Waterloo, Fellow of the Royal Society of Canada "...reads very well-the structure is good, the language and style are clear and fluent, and the material is rendered accessible by a careful presentation that contains many concrete examples. The range of applications, particularly to problems in mechanics, is admirable and a valuable complement to theoretical and computational investigations that are at the forefront of the areas concerned." - Prof. B. Daya Reddy, Department of Mathematics and Applied Mathematics, Director of Centre for Research in Computational and Applied Mechanics, University of Cape Town, South Africa "Many materials and structures (e.g., cable networks, membrane) involved in practical engineering applications have complex responses that cannot be described by smooth constitutive relations...The author shows how these difficult problems can be tackled in the framework of convex analysis by arranging the carefully chosen materials in an elegant way. Most of the contents of the book are from the original contributions of the author. They are both mathematically rigorous and readable. This book is a must-read for anyone who intends to get an authoritative and state-of-art description for the analysis of nonsmooth mechanics problems with theory and tools from convex analysis." - Prof. Xu Guo, State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of TechnologyPart I: Convex Optimization Over Symmetric Cone Cones, Complementarity, and Conic Optimization Proper Cones and Conic Inequalities Complementarity over Cones Positive-Semidefinite Cone Second-Order Cone Conic Constraints and Their Relationship Conic Optimization Optimality and Duality Fundamentals of Convex Analysis Optimality and Duality Application to Semidefinite Programming Applications in Structural Engineering Compliance Optimization Eigenvalue Optimization Set-Valued Constitutive Law Part II: Cable Networks: An Example in Nonsmooth Mechanics Principles of Potential Energy for Cable Networks Constitutive law Potential Energy Principles in Convex Optimization Forms More on Cable Networks: Nonlinear Material Law Duality in Cable Networks: Principles of Complementary Energy Duality in Cable Networks (1): Large Strain Duality in Cable Networks (2): Linear Strain Duality in Cable Networks (3): Green-Lagrange Strain Part III: Numerical Methods Algorithms for Conic Optimization Primal-Dual Interior-Point Method Reformulation and Smoothing Method Numerical Analysis of Cable Networks Cable Networks with Pin-Joint Cable Networks with Sliding Joints Form-Finding of Cable Networks Part IV: Problems in Nonsmooth Mechanics Masonry Structures Introduction Principle of Potential Energy for Masonry Structures Principle of Complementary Energy for Masonry Structures Numerical Aspects Planar Membranes Analysis in Small Deformation Principle of Potential Energy for Membranes Principle of Complementary Energy for Membranes Numerical Aspects Frictional Contact Problems Friction Law Incremental Problem Discussions on Various Complementarity Forms Plasticity Fundamentals of Plasticity Perfect Plasticity Plasticity with Isotropic Hardening Plasticity with Kinematic Hardening

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Cena 443,10 PLN
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Wysyłka: Niedostępna
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