Advanced Method of Fundamental Solutions Applied to Problems in Computational Mechanics
Author: George S. A. Fam
Publisher:
Published:
Total Pages:
ISBN-13:
DOWNLOAD EBOOKPosts
Methods of Fundamental Solutions in Solid Mechanics
Author: Hui Wang
Publisher: Elsevier
Published: 2019-06-06
Total Pages: 312
ISBN-13: 0128182849
DOWNLOAD EBOOKMethods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer Extends the application of the MFS for use with complex problems Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer Gives detailed solution procedures for engineering problems Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges
Numerical Methods in Computational Mechanics
Author: Jamshid Ghaboussi
Publisher: CRC Press
Published: 2016-11-25
Total Pages: 332
ISBN-13: 1498746780
DOWNLOAD EBOOKThis 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.
Computational Fluid-Structure Interaction
Author: Yuri Bazilevs
Publisher: John Wiley & Sons
Published: 2013-01-25
Total Pages: 444
ISBN-13: 111848357X
DOWNLOAD EBOOKComputational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid–solid interface, and the basics of the finite element method. It continues with the ALE and space–time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space–time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space–time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.
Solutions to Engineering Problems Using Computational Mechanics
Author: Vijay Goyal
Publisher:
Published: 2021-12-31
Total Pages:
ISBN-13: 9780578254883
DOWNLOAD EBOOKThis 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.
Mathematical and Computational Aspects
Author: Carlos A. Brebbia
Publisher: Springer Science & Business Media
Published: 2013-11-21
Total Pages: 601
ISBN-13: 3662219085
DOWNLOAD EBOOKThis book contains the edited versions of most of the papers presented at the 9th International Conference on Boundary Elements held at the University of Stuttgart, Germany from August 31st to September 4th, 1987, which was organized in co-operation with the Computational Mechanics Institute and GAMM (Society for Applied Mathematics and Mechanics). This Conference, as the previous ones, aimed to review the latest developments in technique and theory and point out new advanced future trends. The emphasis of the meeting was on the engineering advances versus mathematical formulations, in an effort to consolidate the basis of many new applications. Recently engineers have proposed different techniques to solve non-linear and time dependent problems and many of these formulations needed a better mathematical understanding. Furthermore, new approximate formulations have been proposed for boundary elements which appeared to work in engineering practice, but did not have a proper theoretical background. The Conference also discussed the engineering applications of the method and concentrated on a link between BEM practitioners, industrial users and researchers working on the latest development of the method. The editors would like to express their appreciation and thanks to Ms. Liz Newman and Mr. H. Schmitz for their unstinting work in the preparation of the Conference.
Modern Computational Methods
Author: Herbert Koenig
Publisher: Routledge
Published: 2019-05-20
Total Pages: 303
ISBN-13: 1351430602
DOWNLOAD EBOOKThis book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics.
Computational Statics and Dynamics
Author: Andreas Öchsner
Publisher: Springer Nature
Published: 2023-02-08
Total Pages: 723
ISBN-13: 3031096738
DOWNLOAD EBOOKThis book is the 3rd edition of an introduction to modern computational mechanics based on the finite element method. This third edition is largely extended, adding many new examples to let the reader understand the principles better by performing calculations by hand, as well as numerical example to practice the finite element approach to engineering problems. The new edition comes together with a set of digital flash cards with questions and answers that improve learning success. Featuring over 100 more pages, the new edition will help students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics. In order to deepen readers’ understanding of the equations and theories discussed, each chapter also includes supplementary problems. These problems start with fundamental knowledge questions on the theory presented in the respective chapter, followed by calculation problems. In total, over 80 such calculation problems are provided, along with brief solutions for each. Test your knowledge with questions and answers about the book in the Springer Nature Flashcards app.
Numerical Methods and Methods of Approximation in Science and Engineering
Author: Karan S. Surana
Publisher: CRC Press
Published: 2018-10-31
Total Pages: 478
ISBN-13: 0429650507
DOWNLOAD EBOOKNumerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations. Features: Provides a strong theoretical foundation for learning and applying numerical methods Takes a generic approach to engineering analysis, rather than using a specific programming language Built around a consistent, understandable model for conducting engineering analysis Prepares students for advanced coursework, and use of tools such as FEA and CFD Presents numerous detailed examples and problems, and a Solutions Manual for instructors
Boundary Element Techniques in Computer-Aided Engineering
Author: C.A. Brebbia
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 442
ISBN-13: 9400961928
DOWNLOAD EBOOKThis book constitutes the edited proceedings of the Advanced Studies Institute on Boundary Element Techniques in Computer Aided Engineering held at The Institute of Computational Mechanics, Ashurst Lodge, Southampton, England, from September 19 to 30, 1984. The Institute was held under the auspices of the newly launched "Double Jump Programme" which aims to bring together academics and industrial scientists. Consequently the programme was more industr ially based than other NATO ASI meetings, achieving an excellent combination of theoretical and practical aspects of the newly developed Boundary Element Method. In recent years engineers have become increasingly interested in the application of boundary element techniques for'the solution of continuum mechanics problems. The importance of boundary elements is that it combines the advantages of boundary integral equations (i.e. reduction of dimensionality of the problems, possibility of modelling domains extending to infinity, numerical accura'cy) with the versatility of finite elements (i.e. modelling of arbitrary curved surfaces). Because of this the technique has been well received by the engineering and scientific communities. Another important advantage of boundary elements stems from its reduction of dimensionality, that is that the technique requires much less data input than classical finite elements. This makes the method very well suited for Computer Aided Design and in great part explains the interest of the engineering profession in the new technique.
