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| Author | : Michel Fremond |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 487 |
| Release | : 2013-03-14 |
| Genre | : Science |
| ISBN | : 3662048000 |
Based on practical problems in mechanical engineering, here the author develops the fundamental concepts of non-smooth mechanics and introduces the necessary background material needed to deal with mechanics involving discontinuities and non-smooth constraints.
| Author | : Jaroslav Haslinger |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 320 |
| Release | : 2007-08-03 |
| Genre | : Technology & Engineering |
| ISBN | : 3211482431 |
Nonsmooth mechanics is a relatively complex field and requires a good knowledge of mechanics as well as a good background in some parts of modern mathematics. The present volume of lecture notes follows a very successful advanced school, with the aim to cover as much as possible all these aspects. It includes contributions that cover mechanical aspects as well as the mathematical and numerical treatment.
| Author | : Pierre Alart |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 318 |
| Release | : 2006-06-26 |
| Genre | : Technology & Engineering |
| ISBN | : 0387291954 |
This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics. Audience This book is intended for researchers in mathematics and mechanics.
| Author | : Jan Awrejcewicz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2008-12-10 |
| Genre | : Mathematics |
| ISBN | : 0387096531 |
This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examples of engineering objects working in different kinematic and dynamic environments. Topics covered in five self-contained chapters examine non-steady dynamic phenomena which are determined by key factors: i.e., heat conduction, thermal stresses, and the amount of wearing. New to this monograph is the importance of the inertia factor, which is considered on par with thermal stresses. Nonsmooth Dynamics of Contacting Thermoelastic Bodies is an engaging accessible practical reference for engineers (civil, mechanical, industrial) and researchers in theoretical and applied mechanics, applied mathematics, physicists, and graduate students.
| Author | : Yoshihiro Kanno |
| Publisher | : CRC Press |
| Total Pages | : 447 |
| Release | : 2011-04-05 |
| Genre | : Science |
| ISBN | : 1420094238 |
"This book concerns matter that is intrinsically difficult: convex optimization, complementarity and duality, nonsmooth analysis, linear and nonlinear programming, etc. The author has skillfully introduced these and many more concepts, and woven them into a seamless whole by retaining an easy and consistent style throughout. The book is not all theory: There are many real-life applications in structural engineering, cable networks, frictional contact problems, and plasticity... I recommend it to any reader who desires a modern, authoritative account of nonsmooth mechanics and convex optimization." — Prof. Graham M.L. Gladwell, Distinguished Professor Emeritus, University of Waterloo, Fellow of the Royal Society of Canada "... reads very well—the structure is good, the language and style are clear and fluent, and the material is rendered accessible by a careful presentation that contains many concrete examples. The range of applications, particularly to problems in mechanics, is admirable and a valuable complement to theoretical and computational investigations that are at the forefront of the areas concerned." — Prof. B. Daya Reddy, Department of Mathematics and Applied Mathematics, Director of Centre for Research in Computational and Applied Mechanics, University of Cape Town, South Africa "Many materials and structures (e.g., cable networks, membrane) involved in practical engineering applications have complex responses that cannot be described by smooth constitutive relations. ... The author shows how these difficult problems can be tackled in the framework of convex analysis by arranging the carefully chosen materials in an elegant way. Most of the contents of the book are from the original contributions of the author. They are both mathematically rigorous and readable. This book is a must-read for anyone who intends to get an authoritative and state-of-art description for the analysis of nonsmooth mechanics problems with theory and tools from convex analysis." — Prof. Xu Guo, State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology
| Author | : Vincent Acary |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 529 |
| Release | : 2008-01-30 |
| Genre | : Technology & Engineering |
| ISBN | : 3540753923 |
This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.
| Author | : Holm Altenbach |
| Publisher | : Springer |
| Total Pages | : 760 |
| Release | : 2018-03-24 |
| Genre | : Science |
| ISBN | : 3319724401 |
This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
| Author | : Michel Frémond |
| Publisher | : Springer |
| Total Pages | : 275 |
| Release | : 2016-07-28 |
| Genre | : Technology & Engineering |
| ISBN | : 3662526964 |
This book investigates collisions occurring in the motion of solids, in the motion of fluids but also in the motion of pedestrians in crowds. The duration of these presented collisions is short compared to the whole duration of the motion: they are assumed instantaneous. The innovative concept demonstrated in this book is that a system made of two solids, is deformable because their relative position changes. The definition of the velocities of deformation of the system introduced in the classical developments of mechanics, the principle of the virtual work and the laws of thermodynamics, allows a large range of applications such as crowd motions, debris flow motions, and shape memory alloys motions. The set of the applications is even larger: social sciences and mechanics are unified to predict the motion of crowds with application to transport management and to evacuation of theaters management.
| Author | : Antonio Concilio |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 936 |
| Release | : 2021-01-13 |
| Genre | : Technology & Engineering |
| ISBN | : 0128192674 |
Shape Memory Alloy Engineering: For Aerospace, Structural and Biomedical Applications, Second Edition embraces new advancements in materials, systems and applications introduced since the first edition. Readers will gain an understanding of the intrinsic properties of SMAs and their characteristic state diagrams. Sections address modeling and design process aspects, explore recent applications, and discuss research activities aimed at making new devices for innovative implementations. The book discusses both the potential of these fascinating materials, their limitations in everyday life, and tactics on how to overcome some limitations in order to achieve proper design of useful SMA mechanisms. Provides a greatly expanded scope, looking at new applications of SMA devices and current research activities Covers all aspects of SMA technology - from a global state-of-the-art survey, to the classification of existing materials, basic material design, material manufacture, and from device engineering design to implementation within actual systems Presents the material within a modular architecture over different topics, from material conception to practical engineering realization
| Author | : Michel Grediac |
| Publisher | : John Wiley & Sons |
| Total Pages | : 376 |
| Release | : 2012-12-17 |
| Genre | : Science |
| ISBN | : 1118578473 |
This timely book presents cutting-edge developments by experts in the field on the rapidly developing and scientifically challenging area of full-field measurement techniques used in solid mechanics – including photoelasticity, grid methods, deflectometry, holography, speckle interferometry and digital image correlation. The evaluation of strains and the use of the measurements in subsequent parameter identification techniques to determine material properties are also presented. Since parametric identification techniques require a close coupling of theoretical models and experimental measurements, the book focuses on specific modeling approaches that include finite element model updating, the equilibrium gap method, constitutive equation gap method, virtual field method and reciprocity gap method. In the latter part of the book, the authors discuss two particular applications of selected methods that are of special interest to many investigators: the analysis of localized phenomenon and connections between microstructure and constitutive laws. The final chapter highlights infrared measurements and their use in the mechanics of materials. Written and edited by knowledgeable scientists, experts in their fields, this book will be a valuable resource for all students, faculties and scientists seeking to expand their understanding of an important, growing research area
