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Numerical Methods in Mechanics of Materials

Numerical Methods in Mechanics of Materials
Author: Ken P. Chong
Publisher: CRC Press
Total Pages: 318
Release: 2017-11-27
Genre: Technology & Engineering
ISBN: 1351380990

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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

Numerical Methods in Mechanics of Materials
Author: Ken P. Chong
Publisher: CRC Press
Total Pages: 332
Release: 2017
Genre: Materials
ISBN: 9781138719163

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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


Research Directions in Computational Mechanics

Research Directions in Computational Mechanics
Author: National Research Council
Publisher: National Academies Press
Total Pages: 145
Release: 1991-02-01
Genre: Technology & Engineering
ISBN: 0309046483

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Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.


Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids
Author: Laura De Lorenzis
Publisher: Springer Nature
Total Pages: 225
Release: 2020-02-08
Genre: Science
ISBN: 3030375188

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The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.


Numerical Methods in Structural Mechanics

Numerical Methods in Structural Mechanics
Author: Zdenek Bittnar
Publisher: Thomas Telford
Total Pages: 438
Release: 1996-04-05
Genre: Mathematics
ISBN: 9780727725554

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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 Modeling in Materials Science and Engineering

Numerical Modeling in Materials Science and Engineering
Author: Michel Rappaz
Publisher: Springer Science & Business Media
Total Pages: 544
Release: 2010-03-11
Genre: Technology & Engineering
ISBN: 3642118216

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Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.


Computational Mechanics of Composite Materials

Computational Mechanics of Composite Materials
Author: Marcin Marek Kaminski
Publisher: Springer Science & Business Media
Total Pages: 434
Release: 2006-03-30
Genre: Technology & Engineering
ISBN: 1846280494

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Computational Mechanics of Composite Materials lays stress on the advantages of combining theoretical advancements in applied mathematics and mechanics with the probabilistic approach to experimental data in meeting the practical needs of engineers. Features: Programs for the probabilistic homogenisation of composite structures with finite numbers of components allow composites to be treated as homogeneous materials with simpler behaviours. Treatment of defects in the interfaces within heterogeneous materials and those arising in composite objects as a whole by stochastic modelling. New models for the reliability of composite structures. Novel numerical algorithms for effective Monte-Carlo simulation. Computational Mechanics of Composite Materials will be of interest to academic and practising civil, mechanical, electronic and aerospatial engineers, to materials scientists and to applied mathematicians requiring accurate and usable models of the behaviour of composite materials.


Advanced Computational Methods in Mechanical and Materials Engineering

Advanced Computational Methods in Mechanical and Materials Engineering
Author: Ashwani Kumar
Publisher: CRC Press
Total Pages: 343
Release: 2021-11-23
Genre: Computers
ISBN: 1000483029

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This book provides in-depth knowledge to solve engineering, geometrical, mathematical, and scientific problems with the help of advanced computational methods with a focus on mechanical and materials engineering. Divided into three subsections covering design and fluids, thermal engineering and materials engineering, each chapter includes exhaustive literature review along with thorough analysis and future research scope. Major topics covered pertains to computational fluid dynamics, mechanical performance, design, and fabrication including wide range of applications in industries as automotive, aviation, electronics, nuclear and so forth. Covers computational methods in design and fluid dynamics with a focus on computational fluid dynamics Explains advanced material applications and manufacturing in labs using novel alloys and introduces properties in material Discusses fabrication of graphene reinforced magnesium metal matrix for orthopedic applications Illustrates simulation and optimization gear transmission, heat sink and heat exchangers application Provides unique problem-solution approach including solutions, methodology, experimental setup, and results validation This book is aimed at researchers, graduate students in mechanical engineering, computer fluid dynamics,fluid mechanics, computer modeling, machine parts, and mechatronics.


Advanced Mechanics of Solids

Advanced Mechanics of Solids
Author: Lester W. Schmerr
Publisher: Cambridge University Press
Total Pages: 581
Release: 2021-02-18
Genre: Science
ISBN: 110884331X

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Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.