Computational Methods In Contact Mechanics V

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.

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.

Modern engineering design has led to the realization of the importance of contact problems in many technological fields. Including discussions of mechanical models, numerical aspects, experimental measurements and engineering applications as well as other topics related to the subject, this volume features the proceedings of the Sixth International Conference on Computational Methods and Experimental Measurements in Contact Mechanics. Particular emphasis is placed on the application of advanced theories, while the contributors have also been encouraged to critically review existing ideas and to explore new research ideas. Topics covered include: multi-boundary contact; extrusion and forming process; composite materials; soil structure interaction; computational methods; crashworthiness, impact and shock; biomechanics; experimental techniques; computational methods versus experimental results; and fracture, fatigue and wear.

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.

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.

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.

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.

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.