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Author: Alejandro M. Aragón
Publisher: Elsevier
ISBN: 0323855164
Category : Technology & Engineering
Languages : en
Pages : 312
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Book Description
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
Author: Alejandro M. Aragón
Publisher: Elsevier
ISBN: 0323855164
Category : Technology & Engineering
Languages : en
Pages : 312
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Book Description
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
Author: Amir R. Khoei
Publisher: John Wiley & Sons
ISBN: 1118457684
Category : Science
Languages : en
Pages : 600
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Book Description
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
Author: Zhangxin Chen
Publisher: World Scientific
ISBN: 9814350567
Category : Technology & Engineering
Languages : en
Pages : 349
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Book Description
A fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.
Author: Zhu
Publisher: John Wiley & Sons
ISBN: 1119107342
Category : Mathematics
Languages : en
Pages : 872
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Book Description
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.
Author: Hartley Grandin
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 554
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Book Description
Author: K. M. Entwistle
Publisher: CRC Press
ISBN: 9781902653532
Category : Mathematics
Languages : en
Pages : 0
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Book Description
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.
Author: Olek C Zienkiewicz
Publisher: Butterworth-Heinemann
ISBN: 008095135X
Category : Technology & Engineering
Languages : en
Pages : 756
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Book Description
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.
Author: David V. Hutton
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 572
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Book Description
"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.
Author: Irving H Shames
Publisher: CRC Press
ISBN: 9780891165057
Category : Science
Languages : en
Pages : 784
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Book Description
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.
Author: Hartley Grandin
Publisher:
ISBN: 9780023454905
Category : Finite element method
Languages : en
Pages : 81
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Book Description
