Download or read book Fundamentals of Enriched Finite Element Methods written by Alejandro M. Aragón and published by Elsevier. This book was released on 2023-11-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Enriched Finite Element Methods provides an overview of the different enriched finite element methods, detailed instruction on their use, and also looks at their real-world applications, recommending in what situations they’re best implemented. It starts with a concise background on the theory required to understand the underlying functioning principles behind enriched finite element methods before outlining detailed instruction on implementation of the techniques in standard displacement-based finite element codes. The strengths and weaknesses of each are discussed, as are computer implementation details, including a standalone generalized finite element package, written in Python. The applications of the methods to a range of scenarios, including multi-phase, fracture, multiscale, and immersed boundary (fictitious domain) problems are covered, and readers can find ready-to-use code, simulation videos, and other useful resources on the companion website to the book. Reviews various enriched finite element methods, providing pros, cons, and scenarios forbest use Provides step-by-step instruction on implementing these methods Covers the theory of general and enriched finite element methods

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Download or read book The Finite Element Method written by Zhangxin Chen and published by World Scientific. This book was released on 2011 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.

Download or read book The Finite Element Method written by Zhu and published by John Wiley & Sons. This book was released on 2018-03-20 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines. Written by a renowned author and academician with the Chinese Academy of Engineering, The Finite Element Method would appeal to researchers looking to understand how the fundamentals of the FEM can be applied in other disciplines. Researchers and graduate students studying hydraulic, mechanical and civil engineering will find it a practical reference text.

Download or read book Fundamentals of the Finite Element Method written by Hartley Grandin and published by . This book was released on 1991 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Finite Element Method Its Basis and Fundamentals written by Olek C Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-08-31 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development. Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience. Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms.

Download or read book Basic Principles of the Finite Element Method written by K. M. Entwistle and published by CRC Press. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to engineering and materials science students Although this book was written with materials scientists in mind, it will prove useful to all those interested in learning the fundamentals of the finite element method. The method is now widely used in research in materials science and technology. For example, it is the basis for the determination of the stress distribution in loaded specimens used in deformation and fracture studies. It is used to predict the mechanical behaviour of composite and of cellular solids and it is used to analyse materials processing of metals and polymers. Materials science researchers use one of the many available commercial finite element packages to model problems in these areas. These materials scientists and technologists are not always well informed about the principles of the analytical methods that these packages use. One reason for this is that they find the existing texts difficult to read. There is an extensive list of finite element books written mostly for engineers or mathematicians.In them the authors make assumptions that the reader has a facility with matrix algebra, has a grounding in applied mechanics and has an awareness of energy principles that do not feature prominently in undergraduate materials science courses and, in consequence, are rarely the stock in trade of materials science researchers or technologists. The objective of this book is to provide an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to materials scientists. It presents the basic ideas in a sequential and measured fashion, avoiding the use of specialist vocabulary that is not clearly defined. The basic principles are illustrated by a diversity of examples which serve to reinforce the particular aspects of the theory, and there are three finite element analyses which are presented in extenso with the detailed mathematics exposed. By this means some of the mystery that can envelop commercial finite element packages is penetrated. Such is the extensive scale of finite element knowledge that any text of this introductory character must be selective in its choice of material.The criterion for the selection of topics has been guided by the wish to bring the readers to the point at the end of the book where they can develop their understanding further by reading the existing literature, in which there is a number of rigorous and scholarly texts with a wealth of detail on the move advanced aspects of the theory. No list of recommended texts is included. The choice of texts is a matter of personal choice. The most fruitful way forward is to browse the library shelves or the bookshop to seek a text that addresses the area in which enlightenment is sought in a way which accords with the readers current knowledge. The text deliberately used the second person plural in order to emphasise the intention that the treatment of the subject should constitute an (inevitably) one-sided tutorial with the reader. The cover diagram shows the stress contours round the hole of a loaded plate using quadrilateral elements. It is in fact a pictorial representation of the solution, part of which is quoted at the end of CH.1.

Download or read book Energy and Finite Element Methods in Structural Mechanics written by Irving H Shames and published by CRC Press. This book was released on 1985-01-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Download or read book Fundamentals of Finite Element Analysis written by Ioannis Koutromanos and published by John Wiley & Sons. This book was released on 2018-02-12 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

Download or read book Fundamentals of Finite Element Analysis written by David V. Hutton and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 2004 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of senior engineering students. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of finite element analysis to nonstructural problems. The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples. A Book Website is also included, with book illustrations for class presentation; complete problem solutions (password protected); the FEPC 2-D finite element program for student use; instructions on FEPC and its use with the text; and links to commercial FEA sites." -- Book jacket.

Download or read book Fundamentals of the Finite Element Method written by Hartley Grandin and published by . This book was released on 1986 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Methods and Their Applications written by Zhangxin Chen and published by Springer Science & Business Media. This book was released on 2005-10-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Download or read book Partition of Unity Methods written by St¿phane Bordas and published by John Wiley & Sons. This book was released on 2023-10-16 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.

Download or read book The Finite Element Method Set written by Olek C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-11-20 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method Set, 7th Edition is an extensive reference resource covering the theory and application of FEM in solid, structural and fluid systems. Taking in three books also available separately, the set is software independent and covers founding principles alongside the latest developments in mathematics, modeling and analysis. The Finite Element Method: Its Basis and Fundamentals, 7th Edition The Finite Element Method for Solid and Structural Mechanics, 7th Edition The Finite Element Method for Fluid Dynamics, 7th Edition

Download or read book The Finite Element Method written by John Zhangxin Chen and published by . This book was released on 2011 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Essentials of the Finite Element Method written by Dimitrios G Pavlou and published by Academic Press. This book was released on 2015-07-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou’s Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials. Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar elements, trusses, beams and frames, heat transfer, and structural dynamics. Throughout the text, readers are shown step-by-step detailed analyses for finite element equations development. The text also demonstrates how FEM is programmed, with examples in MATLAB, CALFEM, and ANSYS allowing readers to learn how to develop their own computer code. Suitable for everyone from first-time BSc/MSc students to practicing mechanical/structural engineers, Essentials of the Finite Element Method presents a complete reference text for the modern engineer. Provides complete and unified coverage of the fundamentals of finite element analysis Covers stiffness matrices for widely used elements in mechanical and civil engineering practice Offers detailed and integrated solutions of engineering examples and computer algorithms in ANSYS, CALFEM, and MATLAB

Download or read book Finite Element Methods Basic Concepts And Applications written by Darrell W. Pepper and published by CRC Press. This book was released on 1992-02-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the fundamentals of the finite element method. Beginning with the concept of one-dimensional heat transfer, the book progresses through two-dimensional elements and ultimately ends with a discussion on three-dimensional elements. Each chapter contains a set of example problems and exercises. Overall, the book is useful in describing how to develop and utilize finite element methodology to numerically solve problems.