Quasistatic Contact Problems In Viscoelasticity And Viscoplasticity
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Quasistatic Contact Problems In Viscoelasticity And Viscoplasticity
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Author : Weimin Han
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Quasistatic Contact Problems In Viscoelasticity And Viscoplasticity written by Weimin Han and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Contact mechanics categories.
Índice: Function spaces and their properties; Introduction to finite difference and finite element approximations; Variational inequalities; Constitutive relations in solid mechanics; Background on variational and numerical analysis in contact mechanics; Contact problems in elasticity; Bilateral contact with slip dependent friction; Frictional contact with normal compliance; Frictional contact with normal damped response; Other viscoelastic contact problems; Frictionless contact with dissipative potential; Frictionless contact between two viscoplastic bodies; Bilateral contact with Tresca's friction law; Other viscoelastic contact problems; Bibliography; Index.
Models And Analysis Of Quasistatic Contact
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Author : Meir Shillor
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-09-16
Models And Analysis Of Quasistatic Contact written by Meir Shillor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-16 with Science categories.
The mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models.
Advances In Variational And Hemivariational Inequalities
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Author : Weimin Han
language : en
Publisher: Springer
Release Date : 2015-03-02
Advances In Variational And Hemivariational Inequalities written by Weimin Han and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-02 with Mathematics categories.
This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for advanced specialized courses in mathematical modeling. New results on well posedness to stationary and evolutionary inequalities and their rigorous proofs are of particular interest to readers. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities.
Variational Inequalities And Frictional Contact Problems
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Author : Anca Capatina
language : en
Publisher: Springer
Release Date : 2014-09-16
Variational Inequalities And Frictional Contact Problems written by Anca Capatina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-16 with Mathematics categories.
Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control problems. This part of the book is an update of the Signorini problem with nonlocal Coulomb friction, a problem little studied and with few results in the literature. Also, in the quasi-static case, a control problem governed by a bilateral contact problem is studied. Despite the theoretical nature of the presented results, the book provides a background for the numerical analysis of contact problems. The materials presented are accessible to both graduate/under graduate students and to researchers in applied mathematics, mechanics, and engineering. The obtained results have numerous applications in mechanics, engineering and geophysics. The book contains a good amount of original results which, in this unified form, cannot be found anywhere else.
Variational Hemivariational Inequalities With Applications
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Author : Mircea Sofonea
language : en
Publisher: CRC Press
Release Date : 2017-10-23
Variational Hemivariational Inequalities With Applications written by Mircea Sofonea and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-23 with Mathematics categories.
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.
Intelligent Mathematics Ii Applied Mathematics And Approximation Theory
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Author : George A. Anastassiou
language : en
Publisher: Springer
Release Date : 2016-03-21
Intelligent Mathematics Ii Applied Mathematics And Approximation Theory written by George A. Anastassiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-21 with Technology & Engineering categories.
This special volume is a collection of outstanding more applied articles presented in AMAT 2015 held in Ankara, May 28-31, 2015, at TOBB Economics and Technology University. The collection is suitable for Applied and Computational Mathematics and Engineering practitioners, also for related graduate students and researchers. Furthermore it will be a useful resource for all science and engineering libraries. This book includes 29 self-contained and well-edited chapters that can be among others useful for seminars in applied and computational mathematics, as well as in engineering.
Variational Hemivariational Inequalities With Applications
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Author : Mircea Sofonea
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2018
Variational Hemivariational Inequalities With Applications written by Mircea Sofonea and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Fixed point theory categories.
"7.4 Relevant particular cases "--"Part III Applications to Contact Mechanics"--"Chapter 8 Static Contact Problems" -- "8.1 Modeling of static contact problems " -- "8.2 A contact problem with normal compliance " -- "8.3 A contact problem with subdi erential friction law " -- "8.4 A rst contact problem with unilateral constraints " -- "8.5 A second contact problem with unilateral constraints " -- "Chapter 9 Time-Dependent and Quasistatic Contact Problems" -- "9.1 Physical setting and mathematical models " -- "9.2 Two time-dependent elastic contact problems " -- "9.3 A quasistatic viscoplastic contact problem " -- "9.4 A time-dependent viscoelastic contact problem " -- "9.5 A quasistatic viscoelastic contact problem " -- "Chapter 10 Dynamic Contact Problems" -- "10.1 A viscoelastic contact problem with normal damped response " -- "10.2 A viscoplastic contact problem with normal compliance " -- "10.3 A viscoelastic contact problem with normal compliance " -- "10.4 Conclusions " -- "Bibliography
Building Information Modeling
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Author : Nawari O. Nawari
language : en
Publisher: CRC Press
Release Date : 2015-05-01
Building Information Modeling written by Nawari O. Nawari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-01 with Technology & Engineering categories.
BIM for Structural Engineering and Architecture Building Information Modeling: Framework for Structural Design outlines one of the most promising new developments in architecture, engineering, and construction (AEC). Building information modeling (BIM) is an information management and analysis technology that is changing the role of computation in the architectural and engineering industries. The innovative process constructs a database assembling all of the objects needed to build a specific structure. Instead of using a computer to produce a series of drawings that together describe the building, BIM creates a single illustration representing the building as a whole. This book highlights the BIM technology and explains how it is redefining the structural analysis and design of building structures. BIM as a Framework Enabler This book introduces a new framework—the structure and architecture synergy framework (SAS framework)—that helps develop and enhance the understanding of the fundamental principles of architectural analysis using BIM tools. Based upon three main components: the structural melody, structural poetry, and structural analysis, along with the BIM tools as the frame enabler, this new framework allows users to explore structural design as an art while also factoring in the principles of engineering. The framework stresses the influence structure can play in form generation and in defining spatial order and composition. By highlighting the interplay between architecture and structure, the book emphasizes the conceptual behaviors of structural systems and their aesthetic implications and enables readers to thoroughly understand the art and science of whole structural system concepts. Presents the use of BIM technology as part of a design process or framework that can lead to a more comprehensive, intelligent, and integrated building design Places special emphasis on the application of BIM technology for exploring the intimate relationship between structural engineering and architectural design Includes a discussion of current and emerging trends in structural engineering practice and the role of the structural engineer in building design using new BIM technologies Building Information Modeling: Framework for Structural Design provides a thorough understanding of architectural structures and introduces a new framework that revolutionizes the way building structures are designed and constructed.
Recent Advances In Contact Mechanics
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Author : Georgios E. Stavroulakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-19
Recent Advances In Contact Mechanics written by Georgios E. Stavroulakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-19 with Science categories.
Contact mechanics is an active research area with deep theoretical and numerical roots. The links between nonsmooth analysis and optimization with mechanics have been investigated intensively during the last decades, especially in Europe. The study of complementarity problems, variational -, quasivariational- and hemivariational inequalities arising in contact mechanics and beyond is a hot topic for interdisciplinary research and cooperation. The needs of industry for robust solution algorithms suitable for large scale applications and the regular updates of the respective elements in major commercial computational mechanics codes, demonstrate that this interaction is not restricted to the academic environment. The contributions of this book have been selected from the participants of the CMIS 2009 international conference which took place in Crete and continued a successful series of specialized contact mechanics conferences.
Analysis And Approximation Of Contact Problems With Adhesion Or Damage
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Author : Mircea Sofonea
language : en
Publisher: CRC Press
Release Date : 2005-09-26
Analysis And Approximation Of Contact Problems With Adhesion Or Damage written by Mircea Sofonea and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-26 with Mathematics categories.
Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact P