{"product_id":"finite-element-approximation-for-optimal-shape-material-and-topology-design-isbn-9780471958505","title":"Finite Element Approximation for Optimal Shape, Material and Topology Design","description":"This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimization of structures is addressed in the first part, using variational inequalities of elliptic type. New results, such as contact shape optimization for bodies made of non-linear material, sensitivity analysis based on isoparametric technique, and analysis of cost functionals related to contact stress distribution are included. The second part presents new concepts of shape optimization based on a fictitious domain approach. Finally, the application of the shape optimization methodology in the material design is discussed. This second edition is a fully revised and up-dated version of Finite Element Method for Optimal Shape Design. Numerous numerical examples illustrate the theoretical results, and industrial applications are given. Preliminaries.\u003cbr\u003e \u003cbr\u003e Abstract Setting of the Optimal Shape Design Problem and ItsApproximation.\u003cbr\u003e \u003cbr\u003e Optimal Shape Design of Systems Governed by a Unilateral BoundaryValue State Problem the Scalar Case.\u003cbr\u003e \u003cbr\u003e Approximation of the Optimal Shape Design Problems by FiniteElements the Scalar Case.\u003cbr\u003e \u003cbr\u003e Numerical Realization of Optimal Shape Design Problems Associatedwith a Unilateral Boundary Value Problem the Scalar Case.\u003cbr\u003e \u003cbr\u003e Shape optimization in Unilateral Boundary Value Problems with a\"Flux\" Cost Functional.\u003cbr\u003e \u003cbr\u003e Optimal Shape Design Contact Problems the Elastic Case.\u003cbr\u003e \u003cbr\u003e Shape Optimization of Materially Non-linear Bodies inContact.\u003cbr\u003e \u003cbr\u003e Shape Optimization in Problems with Inner Obstacles.\u003cbr\u003e \u003cbr\u003e Optimum Composite Material Design.\u003cbr\u003e \u003cbr\u003e Topology Optimization in Unilateral Problems.\u003cbr\u003e \u003cbr\u003e Appendices.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index.  \u003cp\u003eJ. Haslinger and Pekka Neittaanmäki are the authors of Finite Element Approximation for Optimal Shape, Material and Topology Design, 2nd Edition, published by Wiley.  This book addresses the formulation, approximation and numerical solution of optimal shape design problems: from the continuous model through its discretization and approximation results, to sensitivity analysis and numerical realization. Shape optimization of structures is addressed in the first part, using variational inequalities of elliptic type. New results, such as contact shape optimization for bodies made of non-linear material, sensitivity analysis based on isoparametric technique, and analysis of cost functionals related to contact stress distribution are included. The second part presents new concepts of shape optimization based on a fictitious domain approach. Finally, the application of the shape optimization methodology in the material design is discussed. This second edition is a fully revised and up-dated version of Finite Element Method for Optimal Shape Design. Numerous numerical examples illustrate the theoretical results, and industrial applications are given.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989214380261,"sku":"NP9780471958505","price":593.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471958505.jpg?v=1761783234","url":"https:\/\/k12savings.com\/es\/products\/finite-element-approximation-for-optimal-shape-material-and-topology-design-isbn-9780471958505","provider":"K12savings","version":"1.0","type":"link"}