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Hemivariational Inequalities
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Book Synopsis Nonlinear Inclusions and Hemivariational Inequalities by : Stanisław Migórski
Download or read book Nonlinear Inclusions and Hemivariational Inequalities written by Stanisław Migórski and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.
Author :Panagiotis D. Panagiotopoulos Publisher :Springer Science & Business Media ISBN 13 :3642516777 Total Pages :453 pages Book Rating :4.6/5 (425 download)
Book Synopsis Hemivariational Inequalities by : Panagiotis D. Panagiotopoulos
Download or read book Hemivariational Inequalities written by Panagiotis D. Panagiotopoulos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities.
Book Synopsis Mathematical Theory of Hemivariational Inequalities and Applications by : Zdzistaw Naniewicz
Download or read book Mathematical Theory of Hemivariational Inequalities and Applications written by Zdzistaw Naniewicz and published by CRC Press. This book was released on 2021-07-28 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.
Book Synopsis Variational-Hemivariational Inequalities with Applications by : Mircea Sofonea
Download or read book Variational-Hemivariational Inequalities with Applications written by Mircea Sofonea and published by CRC Press. This book was released on 2017-10-23 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.
Book Synopsis Finite Element Method for Hemivariational Inequalities by : J. Haslinger
Download or read book Finite Element Method for Hemivariational Inequalities written by J. Haslinger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.
Book Synopsis Variational-Hemivariational Inequalities with Applications by : Mircea Sofonea
Download or read book Variational-Hemivariational Inequalities with Applications written by Mircea Sofonea and published by CRC Press. This book was released on 2017-10-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.
Book Synopsis Nonlinear Inclusions and Hemivariational Inequalities by : Stanisław Migórski
Download or read book Nonlinear Inclusions and Hemivariational Inequalities written by Stanisław Migórski and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.
Book Synopsis Variational and Hemivariational Inequalities Theory, Methods and Applications by : D. Goeleven
Download or read book Variational and Hemivariational Inequalities Theory, Methods and Applications written by D. Goeleven and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.
Book Synopsis Variational and Hemivariational Inequalities - Theory, Methods and Applications by : DANIEL Goeleven
Download or read book Variational and Hemivariational Inequalities - Theory, Methods and Applications written by DANIEL Goeleven and published by Springer Science & Business Media. This book was released on 2003-08-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.
Book Synopsis Mathematical Theory of Hemivariational Inequalities and Applications by : Zdzistaw Naniewicz
Download or read book Mathematical Theory of Hemivariational Inequalities and Applications written by Zdzistaw Naniewicz and published by CRC Press. This book was released on 2021-07-29 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.
Book Synopsis Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities by : Dumitru Motreanu
Download or read book Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary value problems which have variational expressions in form of inequal ities can be divided into two main classes. The class of boundary value prob lems (BVPs) leading to variational inequalities and the class of BVPs leading to hemivariational inequalities. The first class is related to convex energy functions and has being studied over the last forty years and the second class is related to nonconvex energy functions and has a shorter research "life" beginning with the works of the second author of the present book in the year 1981. Nevertheless a variety of important results have been produced within the framework of the theory of hemivariational inequalities and their numerical treatment, both in Mathematics and in Applied Sciences, especially in Engineering. It is worth noting that inequality problems, i. e. BVPs leading to variational or to hemivariational inequalities, have within a very short time had a remarkable and precipitate development in both Pure and Applied Mathematics, as well as in Mechanics and the Engineering Sciences, largely because of the possibility of applying and further developing new and efficient mathematical methods in this field, taken generally from convex and/or nonconvex Nonsmooth Analy sis. The evolution of these areas of Mathematics has facilitated the solution of many open questions in Applied Sciences generally, and also allowed the formu lation and the definitive mathematical and numerical study of new classes of interesting problems.
Book Synopsis Variational and Hemivariational Inequalities Theory, Methods and Applications by : D. Goeleven
Download or read book Variational and Hemivariational Inequalities Theory, Methods and Applications written by D. Goeleven and published by Springer. This book was released on 2013-11-22 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.
Book Synopsis Finite Element Method for Hemivariational Inequalities by : J. Haslinger
Download or read book Finite Element Method for Hemivariational Inequalities written by J. Haslinger and published by Springer Science & Business Media. This book was released on 1999-08-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.
Book Synopsis Variational and Hemivariational Inequalities - Theory, Methods and Applications by : D. Goeleven
Download or read book Variational and Hemivariational Inequalities - Theory, Methods and Applications written by D. Goeleven and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.
Author :Christodoulos A. Floudas Publisher :Springer Science & Business Media ISBN 13 :0387747583 Total Pages :4646 pages Book Rating :4.3/5 (877 download)
Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Book Synopsis Industrial Mathematics and Statistics by : J. C. Misra
Download or read book Industrial Mathematics and Statistics written by J. C. Misra and published by Alpha Science Int'l Ltd.. This book was released on 2003 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume introduces educational units dealing with important topics in Industrial Mathematics and Statistics.
Book Synopsis Nonsmooth Variational Problems and Their Inequalities by : Siegfried Carl
Download or read book Nonsmooth Variational Problems and Their Inequalities written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.
