Download or read book Models and Analysis of Quasistatic Contact written by Meir Shillor and published by Springer Science & Business Media. This book was released on 2004-09-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity written by Weimin Han and published by American Mathematical Soc.. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analysis of Geometrically Non linear Models for Contact with Dry Friction written by Florian Schmid and published by Logos Verlag Berlin GmbH. This book was released on 2008 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work establishes a mathematical existence theory for solutions of some quasi-static models in contact mechanics with dry friction. The models are finite dimensional and friction is modeled according to Coulomb's law. The main focus is on the geometric non-linearity which is due to the curved obstacle surface.
Download or read book Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity written by Weimin Han and published by American Mathematical Soc.. This book was released on with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to a mathematical theory of contact problems involving deformable bodies. It covers mechanical modeling, mathematical formulations, variational analysis, and the numerical solution of the associated formulations. The authors give a complete treatment of some contact problems by presenting arguments and results in modeling, analysis, and numerical simulations. Variational analysis of the models includes existence and uniqueness results of weak solutions,as well as results of continuous dependence of the solution on the data and parameters. Also discussed are links between different mechanical models.
Download or read book Analysis of a Quasi variational Contact Problem Arising in Thermoelasticity written by Amal Alphonse and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We formulate and study two mathematical models of a thermoforming process involving a membrane and a mould as implicit obstacle problems. In particular, the membrane-mould coupling is determined by the thermal displacement of the mould that depends in turn on the membrane through the contact region. The two models considered are a stationary (or elliptic) model and an evolutionary (or quasistatic) one. For the first model, we prove the existence of weak solutions by solving an elliptic quasi-variational inequality coupled to elliptic equations. By exploring the fine properties of the variation of the contact set under non-degenerate data, we give sufficient conditions for the existence of regular solutions, and under certain contraction conditions, also a uniqueness result. We apply these results to a series of semi-discretised problems that arise as approximations of regular solutions for the evolutionary or quasistatic problem. Here, under certain conditions, we are able to prove existence for the evolutionary problem and for a special case, also the uniqueness of time-dependent solutions.
Download or read book Quasi static Methods for Modeling and Analysis of Frictional Interfaces written by Seyed Iman Zare Estakhraji and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling of frictional devices is one of the greatest remaining problems in structural mechanics. The dissipative properties of frictional interfaces are central in design and analysis of built-up structures such as engines, aerospace structures and bladed-disk assemblies. These interfaces exhibit complex, nonlinear behavior and are the main source of uncertainly in finite element models for built-up structures. It is shown that the frictional interfaces are the main cause of damping and challenges in predicting the dynamic characteristics (stiffness, mode shapes, ...) of a systems containing interfaces. Improved methods for modeling joints have been presented recently, however, numerical computation of the dynamic behavior of a system containing interfaces can be excessively expensive due to the nonlinearity introduced by the interfaces. The resulting simulations are still quite expensive, often impractical for a system that contains many joints, and none of the simulations has been thoroughly validated against measurements. Especially, when a dynamic simulation is implemented, the computational cost becomes completely prohibitive since the response must span many cycles of oscillation. Indeed in most practical applications, the inertial terms can be neglected in a local sense (i.e. near the joint) since accelerations in those regions are small relative to elastic forces, which makes the implementation of quasi-static methods logical. The primary contribution of this work is the development and validation of novel quasi-static methods for modeling and analyzing the dynamic response of structures that contain frictional interfaces. The work seeks to answer the following questions: Are quasi-static methods effective to predict the dynamic characteristics of a nonlinear system? Are the results obtained using quasi-static methods verifiable against measurements? Are they applicable to complex and realistic systems containing many joints? How much efficiency is provided by using quasi-static methods instead of dynamic methods? What are the limitation of using quasi-static methods to be implemented as an alternative to the dynamic methods? Are the proposed quasi-static methods applicable for a nonlinear system subjected to harmonic forces? If quantitative predictions of quantities such as the nonlinear Frequency Response Functions are desired, at what level can the proposed quasi-static methods be used effectively? To address these concerns, several quasi-static methods are proposed in this thesis for different systems involving interfaces subjected to harmonic or random dynamic forces. The results obtained are verified against experimental measurements, the advantages of the proposed methods as well as their limitations are investigated, and the computational cost of these methods are compared with the alternative methods. Examples are presented in which the proposed quasi-static methods are demonstrated as feasible, efficient methods in order to predict the dynamic features of built-up systems including frictional devices.
Download or read book Analysis and Simulation of Contact Problems written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2006-08-15 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited book offers a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented by leading scientists in the area of contact mechanics, during the 4th Contact Mechanics International Symposium (CMIS) held in Hannover, Germany, 2005.
Download or read book Well Posed Nonlinear Problems written by Mircea Sofonea and published by Springer Nature. This book was released on 2023-11-28 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research.
Download or read book Analele Universit ii Din Craiova written by and published by . This book was released on 2006 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Mathematics and Advanced Applications written by F. Brezzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.
Download or read book Analysis and Approximation of Contact Problems with Adhesion or Damage written by Mircea Sofonea and published by CRC Press. This book was released on 2005-09-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Power Transmissions written by Datong Qin and published by CRC Press. This book was released on 2016-11-10 with total page 1081 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents papers from the International Conference on Power Transmissions 2016, held in Chongqing, China, 27th-30th October 2016. The main objective of this conference is to provide a forum for the most recent advances, addressing the challenges in modern mechanical transmissions. The conference proceedings address all aspects of gear and power transmission technology and a range of applications. The presented papers are catalogued into three main tracks, including design, simulation and testing, materials and manufacturing, and industrial applications. The design, simulation and testing track covers topics such as new methods and designs for all types of transmissions, modelling and simulation of power transmissions, strength, fatigue, dynamics and reliability of power transmissions, lubrication and sealing technologies and theories, and fault diagnosis of power transmissions. In the materials and manufacturing track, topics include new materials and heat treatment of power transmissions, new manufacturing technologies of power transmissions, improved tools to predict future demands on production systems, new technologies for ecologically sustainable productions and those which preserve natural resources, and measuring technologies of power transmissions. The proceedings also cover the novel industrial applications of power transmissions in marine, aerospace and railway contexts, wind turbines, the automotive industry, construction machinery, and robots.
Download or read book Recent Advances in Contact Mechanics written by Georgios E. Stavroulakis and published by Springer Science & Business Media. This book was released on 2012-10-19 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advances in Variational and Hemivariational Inequalities written by Weimin Han and published by Springer. This book was released on 2015-03-02 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Contact Modeling for Solids and Particles written by Alexander Popp and published by Springer. This book was released on 2018-05-19 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book conveys modern techniques and the latest state-of-the-art with regard to the most fundamental aspects of computational contact mechanics. However, since contact can readily be interpreted as a special type of interface problem, it seems advisable not to isolate contact mechanics, but rather to address it in the context of a broader class of problems denoted as computational interface mechanics. The book gives a clear understanding of the underlying physics of interfaces, and a comprehensive insight into the current state-of-the-art and selected cutting-edge research directions in the computational treatment of interface effects. It focuses on the modeling of friction, wear, lubrication, cohesive interfaces, grain boundaries, phase boundaries, fracture, thermo-mechanics and particulate contact (e.g. granular media). Also the most important computational aspects are addressed, including discretization techniques for finite deformations, solution algorithms for single- and multi-processor computing environments, multi-scale approaches, discrete element models and multi-physics problems including contact and interface constraints. Among the computational techniques covered in this book are finite element (FEM) and boundary element (BEM) methods, atomistic models, molecular dynamics (MD), discrete element methods (DEM), coupling approaches for multi-scale simulations, and tools for an efficient automated FEM code generation.
Download or read book Mathematical Methods And Models In Composites written by Vladislav Mantic and published by World Scientific. This book was released on 2013-10-25 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a representative selection of the most relevant, innovative, and useful mathematical methods and models applied to the analysis and characterization of composites and their behaviour on micro-, meso-, and macroscale. It establishes the fundamentals for meaningful and accurate theoretical and computer modelling of these materials in the future. Although the book is primarily concerned with fibre-reinforced composites, which have ever-increasing applications in fields such as aerospace, many of the results presented can be applied to other kinds of composites. The topics covered include: scaling and homogenization procedures in composite structures, thin plate and wave solutions in anisotropic materials, laminated structures, instabilities, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing. The results presented are useful in the design, fabrication, testing, and industrial applications of composite components and structures. The book is written by well-known experts in different areas of applied mathematics, physics, and composite engineering and is an essential source of reference for graduate and doctoral students, as well as researchers. It is also suitable for non-experts in composites who wish to have an overview of both the mathematical methods and models used in this area and the related open problems requiring further research.
Download or read book Fluids and Waves written by Fernanda Botelho and published by American Mathematical Soc.. This book was released on 2007 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a series of articles on wave phenomena and fluid dynamics, highlighting recent advances in these two areas of mathematics. The collection is based on lectures presented at the conference Fluids and Waves--Recent Trends in Applied Analysis and features a rich spectrum of mathematical techniques in analysis and applications to engineering, neuroscience, physics, and biology. The mathematical topics discussed range from partial differential equations, dynamical systems and stochastic processes, to areas of classical analysis. This volume is intended as an introduction to major topics of interest and state-of-the-art analytical research in wave motion and fluid flows.
