Numerical Methods In Contact Mechanics
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| Author | : Vladislav A. Yastrebov |
| Publisher | : John Wiley & Sons |
| Total Pages | : 303 |
| Release | : 2013-02-13 |
| Genre | : Mathematics |
| ISBN | : 1118648056 |
Download Numerical Methods in Contact Mechanics Book in PDF, Epub and Kindle
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 |
| Total Pages | : 252 |
| Release | : 2008-04-01 |
| Genre | : Science |
| ISBN | : 3211772987 |
Download Computational Contact Mechanics Book in PDF, Epub and Kindle
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 | : Alexander Konyukhov |
| Publisher | : John Wiley & Sons |
| Total Pages | : 304 |
| Release | : 2015-04-29 |
| Genre | : Technology & Engineering |
| ISBN | : 1118770641 |
Download Introduction to Computational Contact Mechanics Book in PDF, Epub and Kindle
Introduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step-by-step manner, using examples of strict derivation from a mathematical point of view. The final goal of the theory is to construct in the independent approximation form /so-called covariant form, including application to high-order and isogeometric finite elements. The second part of a book is a practical guide for programming of contact elements and is written in such a way that makes it easy for a programmer to implement using any programming language. All programming examples are accompanied by a set of verification examples allowing the user to learn the research verification technique, essential for the computational contact analysis. Key features: Covers the fundamentals of computational contact mechanics Covers practical programming, verification and analysis of contact problems Presents the geometrically exact theory for computational contact mechanics Describes algorithms used in well-known finite element software packages Describes modeling of forces as an inverse contact algorithm Includes practical exercises Contains unique verification examples such as the generalized Euler formula for a rope on a surface, and the impact problem and verification of thå percussion center Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A Geometrical Approach is an ideal textbook for graduates and senior undergraduates, and is also a useful reference for researchers and practitioners working in computational mechanics.
| Author | : Vladislav A. Yastrebov |
| Publisher | : |
| Total Pages | : 391 |
| Release | : 2013 |
| Genre | : |
| ISBN | : |
Download Numerical Methods in Contact Mechanics Book in PDF, Epub and Kindle
| Author | : Peter Wriggers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 521 |
| Release | : 2006-10-06 |
| Genre | : Technology & Engineering |
| ISBN | : 354032609X |
Download Computational Contact Mechanics Book in PDF, Epub and Kindle
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 | : Valentin L. Popov |
| Publisher | : Springer |
| Total Pages | : 268 |
| Release | : 2014-08-19 |
| Genre | : Science |
| ISBN | : 3642538762 |
Download Method of Dimensionality Reduction in Contact Mechanics and Friction Book in PDF, Epub and Kindle
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 |
| Total Pages | : 446 |
| Release | : 2012-08-14 |
| Genre | : Science |
| ISBN | : 3642315313 |
Download Computational Contact Mechanics Book in PDF, Epub and Kindle
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 | : Luis Rodriguez-tembleque |
| Publisher | : World Scientific |
| Total Pages | : 416 |
| Release | : 2018-04-20 |
| Genre | : Technology & Engineering |
| ISBN | : 1786344793 |
Download Advances In Computational Coupling And Contact Mechanics Book in PDF, Epub and Kindle
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.Related Link(s)
| Author | : Peter Wriggers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 393 |
| Release | : 2006-08-15 |
| Genre | : Science |
| ISBN | : 3540317619 |
Download Analysis and Simulation of Contact Problems Book in PDF, Epub and Kindle
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 | : N. Kikuchi |
| Publisher | : SIAM |
| Total Pages | : 508 |
| Release | : 1988-01-01 |
| Genre | : Science |
| ISBN | : 9781611970845 |
Download Contact Problems in Elasticity Book in PDF, Epub and Kindle
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
