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Author : Timo Tiihonen
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.0/5 ( download)
Download or read book Shape Optimization and Unilateral Boundary Value Problems written by Timo Tiihonen and published by . This book was released on 1987 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hideyuki Azegami
Publisher : Springer Nature
ISBN 13 : 9811576181
Total Pages : 646 pages
Book Rating : 4.8/5 (115 download)
Download or read book Shape Optimization Problems written by Hideyuki Azegami and published by Springer Nature. This book was released on 2020-09-30 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defined as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined. In these problems, optimum shapes are obtained from an arbitrary form without any geometrical parameters previously assigned. In particular, problems in which the optimum shape is sought by making a hole in domain are called topology optimization problems. Moreover, a problem in which the optimum shape is obtained based on domain variation is referred to as a shape optimization problem of domain variation type, or a shape optimization problem in a limited sense. Software has been developed to solve these problems, and it is being used to seek practical optimum shapes. However, there are no books explaining such theories beginning with their foundations. The structure of the book is shown in the Preface. The theorems are built up using mathematical results. Therefore, a mathematical style is introduced, consisting of definitions and theorems to summarize the key points. This method of expression is advanced as provable facts are clearly shown. If something to be investigated is contained in the framework of mathematics, setting up a theory using theorems prepared by great mathematicians is thought to be an extremely effective approach. However, mathematics attempts to heighten the level of abstraction in order to understand many things in a unified fashion. This characteristic may baffle readers with an engineering background. Hence in this book, an attempt has been made to provide explanations in engineering terms, with examples from mechanics, after accurately denoting the provable facts using definitions and theorems.
Author : Jaroslav Haslinger
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (897 download)
Download or read book A shape optimization approach to free boundary value problems written by Jaroslav Haslinger and published by . This book was released on 2003 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Sokolowski
Publisher : Springer Science & Business Media
ISBN 13 : 3642581064
Total Pages : 254 pages
Book Rating : 4.6/5 (425 download)
Download or read book Introduction to Shape Optimization written by Jan Sokolowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.
Author : Michel C. Delfour
Publisher : Springer Science & Business Media
ISBN 13 : 9401127107
Total Pages : 469 pages
Book Rating : 4.4/5 (11 download)
Download or read book Shape Optimization and Free Boundaries written by Michel C. Delfour and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.
Author : J. Haslinger
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (89 download)
Download or read book Finite Element Approximation for Optimal Shape Design written by J. Haslinger and published by . This book was released on 1988 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.
Author : J. Haslinger
Publisher : SIAM
ISBN 13 : 9780898718690
Total Pages : 291 pages
Book Rating : 4.7/5 (186 download)
Download or read book Introduction to Shape Optimization written by J. Haslinger and published by SIAM. This book was released on 2003-01-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathematical and computational aspects of sizing and shape optimization enables readers to gain a firm understanding of the theoretical and practical aspects so they may confidently enter this field. Introduction to Shape Optimization: Theory, Approximation, and Computation treats sizing and shape optimization comprehensively, covering everything from mathematical theory (existence analysis, discretizations, and convergence analysis for discretized problems) through computational aspects (sensitivity analysis, numerical minimization methods) to industrial applications. Applications include contact stress minimization for elasto-plastic bodies, multidisciplinary optimization of an airfoil, and shape optimization of a dividing tube. By presenting sizing and shape optimization in an abstract way, the authors are able to use a unified approach in the mathematical analysis for a large class of optimization problems in various fields of physics. Audience: the book is written primarily for students of applied mathematics, scientific computing, and mechanics. Most of the material is directed toward graduate students, although a portion of it is suitable for senior undergraduate students. Readers are assumed to have some knowledge of partial differential equations and their numerical solution, as well as modern programming language such as C++ Fortran 90.
Author : Franco Maceri
Publisher : Birkhäuser
ISBN 13 : 3034873034
Total Pages : 233 pages
Book Rating : 4.0/5 (348 download)
Download or read book Unilateral Problems in Structural Analysis IV written by Franco Maceri and published by Birkhäuser. This book was released on 2013-03-08 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present Volume contains the contributions to the fourth meeting on Unilateral Problems in Structural Analysis, held at Capri on June 14 to 16,1989. The preceding meetings took place at Villa Emma, near Udine, on May 1982, at Ravello on September 1983 and again at Villa Emma on June 1985. Publication of the proceedings started with the second meeting; the two resulting volumes were published by Springer Verlag, Vienna, under the series Cism Courses and Lectures. Unilateral Problems appear as a singular example of confluence of interests: they are the object of the attention of pure and applied mathematicians, of specialists in Continuum Mechanics and engineers. The idea which gave origin to this series of meetings was that of putting together people coming from such different fields. The result was an extremely fruitful exchange of experiences; it contributed, we believe, to the improvement of the knowledge in the area. The contents of the present Volume reflects the composite character of the meeting. There are contributions in the mathematical theory (Has linger, Panagiotopoulos, Romano), and studies in classical problems of Mechanics such as unilateral contact with friction (Kalker, Klarbring, Licht, Telega), Plasticity (Corradi, Del Piero, Owen) and composite materials and structures (Bruno, Leonardi). Some contributions deal with not yet completely explored questions of unilateral dynamics (Guo, Jean); finally, a contribution (Bennati) concerns the comparatively new subject of masonry structures, in which the unilateral constraint enters at the constitutive level.
Author : J. Haslinger
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (577 download)
Download or read book Optimal Shape Design and Unilateral Boundary Value Problems written by J. Haslinger and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gunther H. Peichl
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (897 download)
Download or read book Shape optimization for mixed boundary value problems based on an embedding domain method written by Gunther H. Peichl and published by . This book was released on 1995 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Haslinger
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (577 download)
Download or read book Optimal Shape Design and Unilateral Boundary Value Problems written by J. Haslinger and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pekka Neittaanmäki
Publisher :
ISBN 13 : 9789517632140
Total Pages : 30 pages
Book Rating : 4.6/5 (321 download)
Download or read book Optimal Shape Design of Systems Governed by a Unilateral Boundary Value Problem written by Pekka Neittaanmäki and published by . This book was released on 1983 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aldo Pratelli
Publisher : Birkhäuser
ISBN 13 : 3319175637
Total Pages : 312 pages
Book Rating : 4.3/5 (191 download)
Download or read book New Trends in Shape Optimization written by Aldo Pratelli and published by Birkhäuser. This book was released on 2015-12-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization.
Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer
ISBN 13 : 3319307851
Total Pages : 205 pages
Book Rating : 4.3/5 (193 download)
Download or read book Advances in Mathematical Modeling, Optimization and Optimal Control written by Jean-Baptiste Hiriart-Urruty and published by Springer. This book was released on 2016-05-19 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable. The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a first order in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.
Author : Antonio André Novotny
Publisher : Springer Science & Business Media
ISBN 13 : 3642352456
Total Pages : 423 pages
Book Rating : 4.6/5 (423 download)
Download or read book Topological Derivatives in Shape Optimization written by Antonio André Novotny and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, fracture mechanics sensitivity analysis and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested on the mathematical aspects of topological asymptotic analysis as well as on applications of topological derivatives in computation mechanics.
Author : Michel C. Delfour
Publisher : Springer
ISBN 13 : 9789401127110
Total Pages : 462 pages
Book Rating : 4.1/5 (271 download)
Download or read book Shape Optimization and Free Boundaries written by Michel C. Delfour and published by Springer. This book was released on 2014-10-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.
Author : J. Haslinger
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (577 download)
Download or read book Penalty Method in Design Optimization Governed by a Unilateral Boundary Value Problem written by J. Haslinger and published by . This book was released on 1982 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
