Numerical Methods In Mechanics
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Numerical Analysis With Applications In Mechanics And Engineering
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Author : Petre Teodorescu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-05-07
Numerical Analysis With Applications In Mechanics And Engineering written by Petre Teodorescu 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 2013-05-07 with Computers categories.
A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.
Numerical Methods In Mechanics Of Materials
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Author : Ken P. Chong
language : en
Publisher: CRC Press
Release Date : 2017-11-27
Numerical Methods In Mechanics Of Materials written by Ken P. Chong and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with Technology & Engineering categories.
In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods
Numerical Methods In Mechanics Of Materials
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Author :
language : en
Publisher:
Release Date : 2017
Numerical Methods In Mechanics Of Materials written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Materials categories.
Numerical Methods In Structural Mechanics
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Author : Zdenek Bittnar
language : en
Publisher: Thomas Telford
Release Date : 1996-04-05
Numerical Methods In Structural Mechanics written by Zdenek Bittnar and has been published by Thomas Telford this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-05 with Mathematics categories.
A detailed presentation is offered of the fundamental equations in solid mechanics focusing on constitutive equations including quasibrittle materials. Details are provided on individual numerical algorithms, with a heavier emphasis placed on the understanding of basic principles.
Numerical Methods In Mechanics
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Author : Carlos Conca
language : en
Publisher: CRC Press
Release Date : 1997-07-16
Numerical Methods In Mechanics written by Carlos Conca and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-16 with Mathematics categories.
This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.
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 Computational Mechanics
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Author : Jamshid Ghaboussi
language : en
Publisher: CRC Press
Release Date : 2016-11-25
Numerical Methods In Computational Mechanics written by Jamshid Ghaboussi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-25 with Mathematics categories.
This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.
Numerical Heat Transfer And Fluid Flow
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Author : Suhas Patankar
language : en
Publisher: CRC Press
Release Date : 1980-01-01
Numerical Heat Transfer And Fluid Flow written by Suhas Patankar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Science categories.
This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.
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.
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.