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Author : Claude Stolz
Publisher : Springer Nature
ISBN 13 : 3031519205
Total Pages : 340 pages
Book Rating : 4.0/5 (315 download)
Download or read book Introduction to Non-linear Mechanics written by Claude Stolz and published by Springer Nature. This book was released on with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Ladevèze
Publisher : Springer Science & Business Media
ISBN 13 : 0387271651
Total Pages : 420 pages
Book Rating : 4.3/5 (872 download)
Download or read book Mastering Calculations in Linear and Nonlinear Mechanics written by Pierre Ladevèze and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the management of calculations in linear and nonlinear mechanics. Particular attention is given to error estimators and indicators for structural analysis. The accent is on the concept of error in constitutive relation. An important part of the work is also devoted to the utilization of the error estimators involved in a calculation, beginning with the parameters related to the mesh. Many of the topics are taken from the most recent research by the authors: local error estimators, extention of the concept of error in constitutive relation to nonlinear evolution problems and dynamic problems, adaptive improvement of calculations in nonlinear mechanics. This work is intended for all those interested in mechanics: students, researchers and engineers concerned with the construction of models as well as their simulation for industrial purposes.
Author : Nikolai Mitrofanovich Krylov
Publisher : Princeton University Press
ISBN 13 : 1400882273
Total Pages : 106 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Non-Linear Mechanics. (AM-11), Volume 11 written by Nikolai Mitrofanovich Krylov and published by Princeton University Press. This book was released on 2016-03-02 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Introduction to Non-Linear Mechanics. (AM-11), Volume 11, will be forthcoming.
Author : Jean Lerbet
Publisher : Elsevier
ISBN 13 : 0081027656
Total Pages : 291 pages
Book Rating : 4.0/5 (81 download)
Download or read book Stability of Discrete Non-conservative Systems written by Jean Lerbet and published by Elsevier. This book was released on 2020-11-27 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. - Presents a structured review on stability questions - Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
Author : Dario Graffi
Publisher : Springer Science & Business Media
ISBN 13 : 3642109764
Total Pages : 396 pages
Book Rating : 4.6/5 (421 download)
Download or read book Non-Linear Mechanics written by Dario Graffi and published by Springer Science & Business Media. This book was released on 2011-06-04 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: L. Cesari: Non-linear analysis.- J.K. Hale: Oscillations in neutral functional differential equations.- M. Jean: Eléments de la théorie des équations différentielles avec commandes.- J. Mawhin: Un aperçu des recherches belges en théorie des equations différentielles ordinaires dans le champ réel entre 1967 et 1972.- Yu A. Mitropol ́skii: Certains aspects des progrès de la methode de centrage.- Th. Vogel: Quelques problèmes non linéaires en physique mathématique.
Author : Centro internazionale matematico estivo
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.3/5 (91 download)
Download or read book Non-linear Mechanics written by Centro internazionale matematico estivo and published by . This book was released on 1973 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Quoc Son Nguyen
Publisher :
ISBN 13 : 9782746200852
Total Pages : 461 pages
Book Rating : 4.2/5 (8 download)
Download or read book Stabilité et mécanique non linéaire written by Quoc Son Nguyen and published by . This book was released on 2000 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stabilité et mécanique non linéaire présente deux aspects fondamentaux de la mécanique non linéaire des solides : l'analyse de réponse statique et l'analyse de stabilité des matériaux et des structures. Il s'agit d'une approche synthétique des notions de base et des principaux résultats concernant l'évolution quasi statique, la stabilité et lé bifurcation des systèmes réversibles ou dissipatifs usuels. Elle concerne par exemple les solides élastiques, élasto-plastiques ou visco-plastiques en petite ou en grande transformation, ces solides étant soumis à des chargements mixtes classiques ou à des conditions de contact unilatéral avec frottement, ou comportant des propagations de fissures internes. L'ouvrage présente les derniers développements de la modélisation des solides en liaisons avec les apports de la thermodynamique et de l'analyse convexe. Bon nombre de ces résultats sont issus des travaux de recherche récents du Laboratoire de Mécanique des Solides de l'Ecole Polytechnique. IL s'adresse plus particulièrement aux enseignants, aux chercheurs, aux ingénieurs et aux lecteurs avertis cherchant une approche variationnelle privilégiant l'esprit mécanique. Il fait le lien entre les ouvrages de mécanique de style classique et les traités mathématiques peu adaptés au contexte de la mécanique des solides.
Author : J.A.C. Martinis
Publisher : Springer
ISBN 13 : 3709125340
Total Pages : 297 pages
Book Rating : 4.7/5 (91 download)
Download or read book Friction and Instabilities written by J.A.C. Martinis and published by Springer. This book was released on 2014-05-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.
Author : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
ISBN 13 : 9048123313
Total Pages : 588 pages
Book Rating : 4.0/5 (481 download)
Download or read book Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and published by Springer Science & Business Media. This book was released on 2009-04-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
Author : A. Georgescu
Publisher : Springer Science & Business Media
ISBN 13 : 9401718148
Total Pages : 306 pages
Book Rating : 4.4/5 (17 download)
Download or read book Hydrodynamic stability theory written by A. Georgescu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
Author : Lamberto Cesari
Publisher : Springer
ISBN 13 : 3662403684
Total Pages : 278 pages
Book Rating : 4.6/5 (624 download)
Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-11-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Author : Salvatore Rionero
Publisher : World Scientific
ISBN 13 : 9814550450
Total Pages : 449 pages
Book Rating : 4.8/5 (145 download)
Download or read book Waves And Stability In Continuous Media - Proceedings Of The Vii Conference written by Salvatore Rionero and published by World Scientific. This book was released on 1994-10-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.
Author : Anh Le Van
Publisher : Elsevier
ISBN 13 : 0081023596
Total Pages : 214 pages
Book Rating : 4.0/5 (81 download)
Download or read book Nonlinear Theory of Elastic Plates written by Anh Le Van and published by Elsevier. This book was released on 2017-05-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate models—Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates— in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource. - Presents the tricky process of linearization, which is rarely dealt with, but explained in detail in a separate chapter - Organized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly stated - Presents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results
Author : David Yang Gao
Publisher : Springer Science & Business Media
ISBN 13 : 1461302757
Total Pages : 505 pages
Book Rating : 4.4/5 (613 download)
Download or read book Nonsmooth/Nonconvex Mechanics written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth and nonconvex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi- static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering.
Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 0306469464
Total Pages : 428 pages
Book Rating : 4.3/5 (64 download)
Download or read book Continuum Thermomechanics written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.
Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
ISBN 13 : 9048127645
Total Pages : 781 pages
Book Rating : 4.0/5 (481 download)
Download or read book Mechanical Systems, Classical Models written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2009-09-30 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rôle. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum.
Author :
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (31 download)
Download or read book Dynamique Non-linéaire Et Le Chaos written by and published by . This book was released on 1993 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
