Numerical Methods In Contact Mechanics
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Numerical Methods In Contact Mechanics
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Author : Vladislav A. Yastrebov
language : en
Publisher: John Wiley & Sons
Release Date : 2013-02-13
Numerical Methods In Contact Mechanics written by Vladislav A. Yastrebov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-13 with Mathematics categories.
Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems. This book covers all the basic ingredients of contact and computational contact mechanics: from efficient contact detection algorithms and classical optimization methods to new developments in contact kinematics and resolution schemes for both sequential and parallel computer architectures. The book is self-contained and intended for people working on the implementation and improvement of contact algorithms in a finite element software. Using a new tensor algebra, the authors introduce some original notions in contact kinematics and extend the classical formulation of contact elements. Some classical and new resolution methods for contact problems and associated ready-to-implement expressions are provided. Contents: 1. Introduction to Computational Contact. 2. Geometry in Contact Mechanics. 3. Contact Detection. 4. Formulation of Contact Problems. 5. Numerical Procedures. 6. Numerical Examples. About the Authors Vladislav A. Yastrebov is a postdoctoral-fellow in Computational Solid Mechanics at MINES ParisTech in France. His work in computational contact mechanics was recognized by the CSMA award and by the Prix Paul Caseau of the French Academy of Technology and Electricité de France.
Numerical Methods In Contact Mechanics
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Author : Vladislav A. Yastrebov
language : en
Publisher:
Release Date : 2013
Numerical Methods In Contact Mechanics written by Vladislav A. Yastrebov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Iutam Symposium On Computational Methods In Contact Mechanics
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Author : Peter Wriggers
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-20
Iutam Symposium On Computational Methods In Contact Mechanics written by Peter Wriggers 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 2007-11-20 with Technology & Engineering categories.
This book contains the proceedings of the IUTAM Symposium held in Hanover, Germany, in November 2006. Coverage includes new mathematical techniques, new discretization techniques, advanced applications of unilateral contact to masonry structures, decohesion analysis and tractive rolling of tires. The book provides a good overview of modern techniques and state-of-the-art discretizations schemes applied in contact mechanics.
Numerical Methods For Strong Nonlinearities In Mechanics
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Author : Jacques Besson
language : en
Publisher: John Wiley & Sons
Release Date : 2025-01-09
Numerical Methods For Strong Nonlinearities In Mechanics written by Jacques Besson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-09 with Mathematics categories.
Numerical Methods for Strong Nonlinearities in Mechanics deals with recent advances in the numerical treatment of contact/friction and damage phenomena. Although physically distinct, these phenomena both lead to a strong nonlinearity in the mechanical problem, therefore limiting the regularity of the problem, which is now non-differentiable. This has two direct consequences: on the one hand, the mathematical characteristics of the problem deviate from wellestablished forms, requiring innovative discretization schemes; on the other hand, the low regularity makes it particularly difficult to solve the corresponding large-scale algebraic systems robustly and efficiently. In addition, neither the uniqueness, nor the existence of solutions, remain assured, resulting in bifurcation points, limit loads and structural instabilities, which are always tricky to overcome numerically.
Computational Contact Mechanics
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Author : Peter Wriggers
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-01
Computational Contact Mechanics written by Peter Wriggers 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 2008-04-01 with Science categories.
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems. Furthermore, solution algorithms for single- and multi-processor computing environments, enabling methods that span from multi-contact to multi-scale approaches are discussed together with numerical experiments related to soil mechanics using discontinuous deformation analysis.
Computational Contact Mechanics
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Author : Alexander Konyukhov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-14
Computational Contact Mechanics written by Alexander Konyukhov 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 2012-08-14 with Science categories.
This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation. The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics.
Handbook Of Contact Mechanics
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Author : Valentin L. Popov
language : en
Publisher: Springer
Release Date : 2019-04-26
Handbook Of Contact Mechanics written by Valentin L. Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-26 with Science categories.
This open access book contains a structured collection of the complete solutions of all essential axisymmetric contact problems. Based on a systematic distinction regarding the type of contact, the regime of friction and the contact geometry, a multitude of technically relevant contact problems from mechanical engineering, the automotive industry and medical engineering are discussed. In addition to contact problems between isotropic elastic and viscoelastic media, contact problems between transversal-isotropic elastic materials and functionally graded materials are addressed, too. The optimization of the latter is a focus of current research especially in the fields of actuator technology and biomechanics. The book takes into account adhesive effects which allow access to contact-mechanical questions about micro- and nano-electromechanical systems. Solutions of the contact problems include both the relationships between the macroscopic force, displacement and contact length, as well as the stress and displacement fields at the surface and, if appropriate, within the half-space medium. Solutions are always obtained with the simplest available method - usually with the method of dimensionality reduction (MDR) or approaches which use the solution of the non-adhesive normal contact problem to solve the respective contact problem.
Computational Methods In Contact Mechanics V
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Author : Jose Dominguez
language : en
Publisher: Computational Mechanics
Release Date : 2001
Computational Methods In Contact Mechanics V written by Jose Dominguez and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
Engineering fields such as fracture mechanics, fatigue, friction and wear, contact mechanics, and damage are closely related and responsible for the reliability and durability of mechanical systems. The importance of contact mechanics problems - complex, time dependent and highly non-linear problems due to changes in the geometry and friction over contact surfaces - has been established in recent years, while the development of modern computational methods means that it now possible to solve complex problems for which there are no analytical solutions.
Contact Mechanics Perspective Of Tribology
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Author : Irina Goryacheva
language : en
Publisher: Frontiers Media SA
Release Date : 2021-06-04
Contact Mechanics Perspective Of Tribology written by Irina Goryacheva and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Technology & Engineering categories.
Computational Methods In Contact Mechanics Iv
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Author : L. Gaul
language : en
Publisher:
Release Date : 1999
Computational Methods In Contact Mechanics Iv written by L. Gaul and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
Containing contributions from the Fourth International Conference on Contact Mechanics, this work aims to demonstrate that the discipline is still undergoing rapid development. The papers featured cover contact problems for machine elements such as gears, bearings, brakes, metal-forming tools, absorbers and joints; models and experimental results for rough surfaces in contact; contact problems for layered and reinforced half space regions studied by theory and by experiment; and improvements of contact description by finite element, boundary element, multi-body and continuous models, including new algorithms based on variational inequalities.