Numerical Methods For Solving Problems Of Mechanics Of Continuous Media
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Continuum Mechanics for Engineers
Author | : G. Thomas Mase |
Publisher | : CRC Press |
Total Pages | : 506 |
Release | : 2020-05-01 |
Genre | : Science |
ISBN | : 1482238705 |
A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.
Numerical Methods for Stochastic Control Problems in Continuous Time
Author | : Harold Kushner |
Publisher | : Springer Science & Business Media |
Total Pages | : 480 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 146130007X |
Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development. It is broadly accessible for graduate students and researchers.
Numerical Methods in Contact Mechanics
Author | : Vladislav A. Yastrebov |
Publisher | : John Wiley & Sons |
Total Pages | : 303 |
Release | : 2013-02-13 |
Genre | : Mathematics |
ISBN | : 1118648056 |
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 Continuum Mechanics
Author | : Vladimir N. Kukudzhanov |
Publisher | : Walter de Gruyter |
Total Pages | : 447 |
Release | : 2012-12-19 |
Genre | : Science |
ISBN | : 3110273381 |
This work focuses on computational methods in continuum thermomechanics. The text is based on the author's lectures, which ensures a didactical and coherent buildup. The main emphasis is put on the presentation of ideas and qualitative considerations, illustrated by specific examples and applications. Conditions and explanations that are essential for the practical application of methods are discussed thoroughly.
Operator Approach to Linear Problems of Hydrodynamics
Author | : Nikolay D. Kopachevsky |
Publisher | : Birkhäuser |
Total Pages | : 462 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034880634 |
This is the second volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The second part of the present volume collects nonself-adjoint problems on small motions and normal oscillations of a viscous fluid filling a bounded region.
Numerical Analysis of Variational Inequalities
Author | : R. Trémolières |
Publisher | : Elsevier |
Total Pages | : 807 |
Release | : 2011-08-18 |
Genre | : Mathematics |
ISBN | : 0080875297 |
Numerical Analysis of Variational Inequalities