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Author : George S. A. Fam
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)
Download or read book Advanced Method of Fundamental Solutions Applied to Problems in Computational Mechanics written by George S. A. Fam and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hui Wang
Publisher : Elsevier
ISBN 13 : 0128182849
Total Pages : 312 pages
Book Rating : 4.1/5 (281 download)
Download or read book Methods of Fundamental Solutions in Solid Mechanics written by Hui Wang and published by Elsevier. This book was released on 2019-06-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods 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
Author : Yuri Bazilevs
Publisher : John Wiley & Sons
ISBN 13 : 111848357X
Total Pages : 444 pages
Book Rating : 4.1/5 (184 download)
Download or read book Computational Fluid-Structure Interaction written by Yuri Bazilevs and published by John Wiley & Sons. This book was released on 2013-01-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational 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.
Author : Vijay Goyal
Publisher :
ISBN 13 : 9780578254883
Total Pages : pages
Book Rating : 4.2/5 (548 download)
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 : Carlos A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 3662219085
Total Pages : 601 pages
Book Rating : 4.6/5 (622 download)
Download or read book Mathematical and Computational Aspects written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Author : Matthias Albert Augustin
Publisher : Birkhäuser
ISBN 13 : 3319170791
Total Pages : 245 pages
Book Rating : 4.3/5 (191 download)
Download or read book A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs written by Matthias Albert Augustin and published by Birkhäuser. This book was released on 2015-07-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to help make geothermics a reliable and safe energy production method. One of the challenges they face involves modeling the mechanical stresses at work in a reservoir. The aim of this thesis is to develop a numerical solution scheme by means of which the fluid pressure and rock stresses in a geothermal reservoir can be determined prior to well drilling and during production. For this purpose, the method should (i) include poroelastic effects, (ii) provide a means of including thermoelastic effects, (iii) be inexpensive in terms of memory and computational power, and (iv) be flexible with regard to the locations of data points. After introducing the basic equations and their relations to more familiar ones (the heat equation, Stokes equations, Cauchy-Navier equation), the “method of fundamental solutions” and its potential value concerning our task are discussed. Based on the properties of the fundamental solutions, theoretical results are established and numerical examples of stress field simulations are presented to assess the method’s performance. The first-ever 3D graphics calculated for these topics, which neither requiring meshing of the domain nor involving a time-stepping scheme, make this a pioneering volume.
Author : Jamshid Ghaboussi
Publisher : CRC Press
ISBN 13 : 1498746780
Total Pages : 332 pages
Book Rating : 4.4/5 (987 download)
Download or read book Numerical Methods in Computational Mechanics written by Jamshid Ghaboussi and published by CRC Press. This book was released on 2016-11-25 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Andreas Öchsner
Publisher : Springer Nature
ISBN 13 : 3031096738
Total Pages : 723 pages
Book Rating : 4.0/5 (31 download)
Download or read book Computational Statics and Dynamics written by Andreas Öchsner and published by Springer Nature. This book was released on 2023-02-08 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Author : Prem Kythe
Publisher : Springer Science & Business Media
ISBN 13 : 1461241065
Total Pages : 437 pages
Book Rating : 4.4/5 (612 download)
Download or read book Fundamental Solutions for Differential Operators and Applications written by Prem Kythe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
Author : Herbert Koenig
Publisher : Routledge
ISBN 13 : 1351430602
Total Pages : 303 pages
Book Rating : 4.3/5 (514 download)
Download or read book Modern Computational Methods written by Herbert Koenig and published by Routledge. This book was released on 2019-05-20 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Author : Qing-Hua Qin
Publisher : Bentham Science Publishers
ISBN 13 : 9814998559
Total Pages : 357 pages
Book Rating : 4.8/5 (149 download)
Download or read book Trefftz and Fundamental Solution-Based Finite Element Methods written by Qing-Hua Qin and published by Bentham Science Publishers. This book was released on 2021-09-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.
Author : Karan S. Surana
Publisher : CRC Press
ISBN 13 : 0429650507
Total Pages : 478 pages
Book Rating : 4.4/5 (296 download)
Download or read book Numerical Methods and Methods of Approximation in Science and Engineering written by Karan S. Surana and published by CRC Press. This book was released on 2018-10-31 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical 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
Author : M. H. Aliabadi
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (318 download)
Download or read book Advanced Formulations in Boundary Element Methods written by M. H. Aliabadi and published by . This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhenhan Yao
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302093411
Total Pages : 712 pages
Book Rating : 4.0/5 (934 download)
Download or read book Computational Mechanics written by Zhenhan Yao and published by 清华大学出版社有限公司. This book was released on 2004 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James H. Kane
Publisher : Springer Science & Business Media
ISBN 13 : 1461305357
Total Pages : 300 pages
Book Rating : 4.4/5 (613 download)
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 : Tadeusz Burczynski
Publisher : Springer Science & Business Media
ISBN 13 : 9401597936
Total Pages : 420 pages
Book Rating : 4.4/5 (15 download)
Download or read book IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method written by Tadeusz Burczynski and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades the boundary element method has experienced a remarkable evolution. Contemporary concepts and techniques leading to the advancements of capabilities and understanding of the mathematical and computational aspects of the method in mechanics are presented. The special emphasis on theoretical and numerical issues, as well as new formulations and approaches for special and important fields of solid and fluid mechanics are considered. Several important and new mathematical aspects are presented: singularity and hypersingular formulations, regularity, errors and error estimators, adaptive methods, Galerkin formulations, coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEM formulations. Novel developments and applications of the boundary element method in various fields of mechanics of solids and fluids are considered: heat conduction, diffusion and radiation, non-linear problems, dynamics and time-depending problems, fracture mechanics, thermoelasticity and poroelasticity, aerodynamics and acoustics, contact problems, biomechanics, optimization and sensitivity analysis problems, ill posed and inverse problems, and identification problems.
Author : J.A. Kołodziej
Publisher : WIT Press
ISBN 13 : 1845643941
Total Pages : 337 pages
Book Rating : 4.8/5 (456 download)
Download or read book Boundary Collocation Techniques and their Application in Engineering written by J.A. Kołodziej and published by WIT Press. This book was released on 2009-10-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of mathematical modelling applied in contemporary computational mechanics can be divided into purely numerical and analytical-numerical procedures. In this book, the first part is a general presentation of the boundary collocation approach and its numerous variants and in the second part the method is applied to many engineering problems.
