Numerical Methods In Contact Mechanics

Author : Vladislav A. Yastrebov
Publisher : John Wiley & Sons
ISBN 13 : 1118648056
Total Pages : 303 pages
Book Rating : 4.56/5 ( download)

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Download or read book Numerical Methods in Contact Mechanics written by Vladislav A. Yastrebov and published by John Wiley & Sons. This book was released on 2013-02-13 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 252 pages
Book Rating : 4.80/5 ( download)

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Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Vladislav A. Yastrebov
Publisher :
ISBN 13 :
Total Pages : 391 pages
Book Rating : 4.05/5 ( download)

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Download or read book Numerical Methods in Contact Mechanics written by Vladislav A. Yastrebov and published by . This book was released on 2013 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Valentin L. Popov
Publisher : Springer
ISBN 13 : 3642538762
Total Pages : 268 pages
Book Rating : 4.66/5 ( download)

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Download or read book Method of Dimensionality Reduction in Contact Mechanics and Friction written by Valentin L. Popov and published by Springer. This book was released on 2014-08-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resulting degrees of freedom are independent from another. Therefore, MDR results in an enormous reduction of the development time for the numerical implementation of contact problems as well as the direct computation time and can ultimately assume a similar role in tribology as FEM has in structure mechanics or CFD methods, in hydrodynamics. Furthermore, it substantially simplifies analytical calculation and presents a sort of “pocket book edition” of the entirety contact mechanics. Measurements of the rheology of bodies in contact as well as their surface topography and adhesive properties are the inputs of the calculations. In particular, it is possible to capture the entire dynamics of a system – beginning with the macroscopic, dynamic contact calculation all the way down to the influence of roughness – in a single numerical simulation model. Accordingly, MDR allows for the unification of the methods of solving contact problems on different scales. The goals of this book are on the one hand, to prove the applicability and reliability of the method and on the other hand, to explain its extremely simple application to those interested.

Author : Alexander Konyukhov
Publisher : Springer Science & Business Media
ISBN 13 : 3642315313
Total Pages : 446 pages
Book Rating : 4.12/5 ( download)

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Download or read book Computational Contact Mechanics written by Alexander Konyukhov and published by Springer Science & Business Media. This book was released on 2012-08-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3540317619
Total Pages : 393 pages
Book Rating : 4.16/5 ( download)

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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.

Author : Jose Dominguez
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.04/5 ( download)

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Download or read book Computational Methods in Contact Mechanics V written by Jose Dominguez and published by Computational Mechanics. This book was released on 2001 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 354032609X
Total Pages : 521 pages
Book Rating : 4.90/5 ( download)

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Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2006-10-06 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields. These include civil engineering, car design, aeronautics, metal forming, or biomechanics. For this second edition, illustrative simplified examples and new discretisation schemes and adaptive procedures for coupled problems are added. This book is at the cutting edge of an area of significant and growing interest in computational mechanics.

Author : Rodriguez-tembleque Luis
Publisher : World Scientific
ISBN 13 : 1786344793
Total Pages : 416 pages
Book Rating : 4.93/5 ( download)

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Download or read book Advances In Computational Coupling And Contact Mechanics written by Rodriguez-tembleque Luis and published by World Scientific. This book was released on 2018-04-20 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in the field of computational coupling and contact mechanics with particular emphasis on numerical formulations and methodologies necessary to solve advanced engineering applications. Featuring contributions from leading experts and active researchers in these fields who provide a detailed overview of different modern numerical schemes that can be considered by main numerical methodologies to simulate interaction problems in continuum mechanics. A number of topics are addressed, including formulations based on the finite element method (FEM) and their variants (e.g. isogeometric analysis or standard and generalized high-order FEM: hp-FEM and GFEM, respectively), the boundary element method (BEM), the material point method (MPM) or the recently proposed finite block method (FBM), among many more. Written with PhD students in mind, Advances in Computational Coupling and Contact Mechanics also includes the most recent numerical techniques which could be served as reference material for researchers and practicing engineers. All chapters are self-contained and can be read independently, with numerical formulations accompanied by practical engineering applications. Contents: Frictional Mortar Formulation for Large Inelastic Deformation Problems (T Doca and F M A Pires)Standard and Generalized High-order Mortar-based Finite Elements in Computational Contact Mechanics (A P C Dias, S P B Proenca and M L Bittencourt)A Large Deformation Frictionless Contact Treatment In NURBS-based Isogeometric Analysis (J Kopačka, D Gabriel, R Kolman and J Plesek)Treatment of Non-matching Interfaces in Partitioned Fluid-Structure Interaction Problems (J A González and K C Park)An Eulerian-based Thermo-flexible Multi-body Approach for Simulating Rig Testing of Disc Brakes (N Strömberg)Nonlinear Analysis with Functionally Graded Materials by Finite Block Method (J Li, J Jin, J J Yang, T Huang and P H Wen)A Coupled Finite Element Material Point Method for Large Deformation Problems (Y Lian and X Zhang)Fracture and Contact in the Material Point Method: New Approaches and Applications (M A Homel and E B Herbold)A Cohesive-frictional Grain-boundary Technique for Microstructural Analysis of Polycrystalline Materials (I Benedetti)Piezoelectric and Magneto-electro-elastic Frictional Contact Modelling (L Rodríguez-Tembleque, F C Buroni, A Sáez and M H Ferri Aliabadi) Readership: PhD students in computational mechanics; researchers and practicing engineers. Keywords: Contact Mechanics;Friction;Cohesive-Frictional Contact;Coupling Non-Matching Interfaces;Mortar formulations;Localized Lagrange Multipliers;Isogeometric Contact Analysis;Thermomechanical Contact;Finite Element Method;Finite Block Method;Material Point Method;Multi-Body Approach;Boundary Element Method;Large Inelastic Deformation;Microstructural Analysis of Polycrystalline Materials;Impact Problems;Fragmentation and Comminution Processes;Fluid-Structure Interaction Problems;Disc Brakes Testing;Functionally Graded Materials;Piezoelectric and Magneto-Electro-Elastic MaterialsReview:0

Author : Valentin L. Popov
Publisher : Springer
ISBN 13 : 3662587092
Total Pages : 357 pages
Book Rating : 4.96/5 ( download)

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Download or read book Handbook of Contact Mechanics written by Valentin L. Popov and published by Springer. This book was released on 2019-04-26 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.