Solutions To Engineering Problems Using Computational Mechanics

Author : Vijay Goyal
Publisher :
ISBN 13 : 9780578254883
Total Pages : pages
Book Rating : 4.83/5 ( download)

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Download or read book Solutions to Engineering Problems Using Computational Mechanics written by Vijay Goyal and published by . This book was released on 2021-12-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly focuses on the major area: Computational Mechanics. Computational mechanics is widely used in nanomechanics and micromechanics, continuum mechanics, and many other mechanical systems. The main focus throughout this book will be to address methods concerning the field of continuum mechanics. Continuum mechanics studies bodies at the macroscopic level by developing continuum models with a homogenized microstructure. The two traditional areas of application are solid and thermal-fluid mechanics.Over the past century, energy and variational principles have become popular methods when obtaining approximate solutions to practical problems in applied mechanics. In addition, these methods enable engineers to carry out more effective simulations. In fact, most simulation and computation software are based upon concepts from energy and variational approaches.This book combines the essential ideas and methods behind current energy applications and variational theory in theoretical, applied mechanics. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism.Although there are some excellent books for engineering analysis using variational techniques to solve engineering problems, in this manuscript, we intend to guide the reader through the classical topics of energy and variational principles through the fundamental concepts to the extent of a first-year graduate student. What makes this book distinct from all others is that students usually grasp abstract and complex formulations through problem-solving, which is the major strength of this book.This book is intended to provide a theoretical and practical foundation for approximations to differential equations, including the finite element method. The target audience is first-year graduate students who have had little exposure to energy and variational principles. Practicing engineers will also benefit from the approach of this manuscript as they will be able to learn the theoretical aspects of typical approximation methods such as the finite element methods, basically, by their own. Thus, we can assure that this book will fill up a void in the personal library of many engineers who are trying to, or planning, to these methods in their next analysis.

Author : James H. Kane
Publisher : Springer Science & Business Media
ISBN 13 : 1461305357
Total Pages : 300 pages
Book Rating : 4.54/5 ( download)

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Download or read book Solution of Superlarge Problems in Computational Mechanics written by James H. Kane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a need to solve problems in solid and fluid mechanics that currently exceed the resources of current and foreseeable supercomputers. The issue revolves around the number of degrees of freedom of simultaneous equations that one needs to accurately describe the problem, and the computer storage and speed limitations which prohibit such solutions. The goals of tHis symposium were to explore some of the latest work being done in both industry and academia to solve such extremely large problems, and to provide a forum for the discussion and prognostication of necessary future direc tions of both man and machine. As evidenced in this proceedings we believe these goals were met. Contained in this volume are discussions of: iterative solvers, and their application to a variety of problems, e.g. structures, fluid dynamics, and structural acoustics; iterative dynamic substructuring and its use in structural acoustics; the use of the boundary element method both alone and in conjunction with the finite element method; the application of finite difference methods to problems of incompressible, turbulent flow; and algorithms amenable to concurrent computations and their applications. Furthermore, discussions of existing computational shortcomings from the big picture point of view are presented that include recommendations for future work.

Author : Ömer Aydan
Publisher : CRC Press
ISBN 13 : 1000367827
Total Pages : 345 pages
Book Rating : 4.29/5 ( download)

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Download or read book Continuum and Computational Mechanics for Geomechanical Engineers written by Ömer Aydan and published by CRC Press. This book was released on 2021-04-20 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of rock mechanics and rock engineering utilizes the basic laws of continuum mechanics and the techniques developed in computational mechanics. This book describes the basic concepts behind these fundamental laws and their utilization in practice irrespective of whether rock/rock mass contains discontinuities. This book consists of nine chapters and six appendices. The first four chapters are concerned with continuum mechanics aspects, which include the basic operations, definition of stress and strain tensors, and derivation of four fundamental conservation laws in the simplest yet precise manner. The next two chapters are the preparation for computational mechanics, which require constitutive laws of geomaterials relevant to each conservation law and the procedures for how to determine required parameters of the constitutive laws. Computational mechanics solves the resulting ordinary and partial differential equations. In Chapter 7, the methods of exact (closed-form) solutions are explained and they are applied to ordinary/partial differential equations with solvable boundary and initial conditions. In Chapter 8, the fundamentals of approximate solution methods are explained for one dimension first and then how to extend them to multi-dimensional problems. The readers are expected to learn and clearly understand how they are derived and applied to various problems in geomechanics. The final chapter involves the applications of the approximate methods to the actual problems in practice for geomechanical engineers, which cover the continuum to discontinuum, including the stress state of the earth as well as the ground motions induced by earthquakes. Six appendices are provided to have a clear understanding of continuum mechanics operations and procedures for how to deal with discontinuities/interfaces often encountered in rock mechanics and rock engineering.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 252 pages
Book Rating : 4.80/5 ( download)

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Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Vijay Goyal
Publisher :
ISBN 13 : 9780578254869
Total Pages : pages
Book Rating : 4.67/5 ( download)

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Download or read book Solutions to Engineering Problems Using Finite Element Methods written by Vijay Goyal and published by . This book was released on 2021-07-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on finite element methods, a subset of the field of computational mechanics. Over the past decades, finite element analysis (FEA) has become easier to use and implement, enabling engineering designers to carry out complex and more robust simulations. Furthermore, the steady growth of analysis software coincides with the availability and affordability of high-performance computing architectures, making FEA applications a possible reality for most engineers. Although there are some excellent books for engineering analysis using finite element techniques to solve engineering problems, the intent here is to guide the reader through the finite element method through the very basic concepts to the extent of a first-year graduate student.This book intends to provide the theoretical and practical foundation of the finite element method (FEM). The target audience is first-year graduate students who have had little to no exposure to the subject. However, practicing engineers will also benefit from the approach of this book as they will learn the theoretical aspects of finite element methods, basically, on their own. Thus, we can assure that this book will fill a void in the personal library of many engineers trying or planning to use finite element analysis in their next design. The recommended background to successfully read this book is solid mechanics, calculus, continuum mechanics, theory of elasticity, and basic programming knowledge.When writing this textbook, we have kept the reader in mind at all times. After years of using the earlier versions of the book, engineering graduates from various universities found the approach in this book instrumental in their respective jobs. In teaching and applying the subject for years, we have concluded that students and engineers too often take a "black-box" approach when using FEA software. As a result, they usually lack fundamental knowledge of what the finite element analysis software is doing. Hence, the book's primary goal is to provide a fundamental engineering treatment associated with FEM at a level that is reasonably accessible to those studying the topic for the first time.

Author : G. Thomas Mase
Publisher : CRC Press
ISBN 13 : 1420085395
Total Pages : 400 pages
Book Rating : 4.96/5 ( download)

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Download or read book Continuum Mechanics for Engineers written by G. Thomas Mase and published by CRC Press. This book was released on 2009-07-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics for Engineers, Third Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. The impetus for this latest edition was the need to suitably combine the introduction of continuum mechanics, linear and nonlinear elasticity, and viscoelasticity for a graduate-leve

Author : J.N. Reddy
Publisher : CRC Press
ISBN 13 : 1003836119
Total Pages : 1000 pages
Book Rating : 4.17/5 ( download)

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Download or read book Computational Methods in Engineering written by J.N. Reddy and published by CRC Press. This book was released on 2024-03-19 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems. Explaining common numerical methods in an accessible yet rigorous manner, the book details the finite element method (FEM), finite volume method (FVM) and importantly, a new numerical approach, dual mesh control domain method (DMCDM). Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat transfer, solid and structural mechanics, and fluid mechanics. It highlights the strengths of FEM, with its systematic procedure and modular steps, and then goes on to explain the uses of FVM. It explains how DMCDM embodies useful parts of both FEM and FVM, particularly in its use of the control domain method and how it can provide a comprehensive computational approach. The final chapters look at ways to use different numerical methods, primarily FEM and DMCDM, to solve typical problems of bending of beams, axisymmetric circular plates, and other nonlinear problems. This book is a useful guide to numerical methods for professionals and students in all areas of engineering and engineering mathematics.

Author : Dara W. Childs
Publisher : CRC Press
ISBN 13 : 1482250268
Total Pages : 472 pages
Book Rating : 4.68/5 ( download)

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Download or read book Dynamics in Engineering Practice written by Dara W. Childs and published by CRC Press. This book was released on 2015-04-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observing that most books on engineering dynamics left students lacking and failing to grasp the general nature of dynamics in engineering practice, the authors of Dynamics in Engineering Practice, Eleventh Edition focused their efforts on remedying the problem. This text shows readers how to develop and analyze models to predict motion. While esta

Author : G. Thomas Mase
Publisher : CRC Press
ISBN 13 : 1482238691
Total Pages : 434 pages
Book Rating : 4.93/5 ( download)

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Download or read book Continuum Mechanics for Engineers written by G. Thomas Mase and published by CRC Press. This book was released on 2020-05-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Manolis Papadrakakis
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.99/5 ( download)

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Download or read book Parallel Solution Methods in Computational Mechanics written by Manolis Papadrakakis and published by . This book was released on 1997-04-17 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the previously published title, Solving Large-scale Problems in Mechanics, edited by M. Papadrakakis. This first volume to be published in the Wiley Series in Solving Large-scale Problems in Mechanics is devoted to high-performance computing using the new generation of computers with parallel and distributed computing capabilities. Parallel and distributed processing is a rapidly growing area of high technology where engineering applications lagged behind hardware advances. New algorithms and codes are required in order to exploit effectively modern computer architectures, as programs suitable for conventional computers achieve very modest performances on these new machines. There is therefore an urgent need to develop and test powerful solution and data handling techniques capable of exploiting the potential of modern computers and of accomplishing the solution of complex engineering problems in an acceptable computing time. This volume intends capturing the latest developments in the field and to serve as an essential reference book on the subject. It comprises a comprehensive state-of-the-art treatment of theory and practice, illustrated by extensive numerical examples.