MATLAB and C Programming for Trefftz Finite Element Methods

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Author :
Publisher : CRC Press
ISBN 13 : 1420072765
Total Pages : 464 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis MATLAB and C Programming for Trefftz Finite Element Methods by : Qing-Hua Qin

Download or read book MATLAB and C Programming for Trefftz Finite Element Methods written by Qing-Hua Qin and published by CRC Press. This book was released on 2008-07-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in t

Trefftz and Fundamental Solution-Based Finite Element Methods

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Author :
Publisher : Bentham Science Publishers
ISBN 13 : 9814998559
Total Pages : 357 pages
Book Rating : 4.8/5 (149 download)

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Book Synopsis Trefftz and Fundamental Solution-Based Finite Element Methods by : Qing-Hua Qin

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.

Advances in Trefftz Methods and Their Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 3030528049
Total Pages : 203 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advances in Trefftz Methods and Their Applications by : Carlos Alves

Download or read book Advances in Trefftz Methods and Their Applications written by Carlos Alves and published by Springer Nature. This book was released on 2020-09-30 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach. Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems. This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. The first eight chapters are devoted to the MFS and variants whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

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Publisher : Springer Nature
ISBN 13 : 3030152421
Total Pages : 912 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by : Hemen Dutta

Download or read book Current Trends in Mathematical Analysis and Its Interdisciplinary Applications written by Hemen Dutta and published by Springer Nature. This book was released on 2019-08-23 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

The Finite Element Method

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Author :
Publisher : CRC Press
ISBN 13 : 1315395096
Total Pages : 610 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis The Finite Element Method by : Darrell W. Pepper

Download or read book The Finite Element Method written by Darrell W. Pepper and published by CRC Press. This book was released on 2017-04-11 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters include one-dimensional problems that can be solved by inspection. The book progresses through more detailed two-dimensional elements to three-dimensional elements, including discussions on various applications, and ending with introductory chapters on the boundary element and meshless methods, where more input data must be provided to solve problems. Emphasis is placed on the development of the discrete set of algebraic equations. The example problems and exercises in each chapter explain the procedure for defining and organizing the required initial and boundary condition data for a specific problem, and computer code listings in MATLAB and MAPLE are included for setting up the examples within the text, including COMSOL files. Widely used as an introductory Finite Element Method text since 1992 and used in past ASME short courses and AIAA home study courses, this text is intended for undergraduate and graduate students taking Finite Element Methodology courses, engineers working in the industry that need to become familiar with the FEM, and engineers working in the field of heat transfer. It can also be used for distance education courses that can be conducted on the web. Highlights of the new edition include: - Inclusion of MATLAB, MAPLE code listings, along with several COMSOL files, for the example problems within the text. Power point presentations per chapter and a solution manual are also available from the web. - Additional introductory chapters on the boundary element method and the meshless method. - Revised and updated content. -Simple and easy to follow guidelines for understanding and applying the Finite Element Method.

Advanced Mechanics of Piezoelectricity

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642297676
Total Pages : 332 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Advanced Mechanics of Piezoelectricity by : Qinghua Qin

Download or read book Advanced Mechanics of Piezoelectricity written by Qinghua Qin and published by Springer Science & Business Media. This book was released on 2012-11-29 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advanced Mechanics of Piezoelectricity" presents a comprehensive treatment of piezoelectric materials using linear electroelastic theory, symplectic models, and Hamiltonian systems. It summarizes the current state of practice and presents the most recent research findings in piezoelectricity. It is intended for researchers and graduate students in the fields of applied mechanics, material science and engineering, computational engineering, and aerospace engineering. Dr. Qinghua Qin is a professor at the School of Engineering, Australian National University, Australia.

Methods of Fundamental Solutions in Solid Mechanics

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Author :
Publisher : Elsevier
ISBN 13 : 0128182849
Total Pages : 312 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Methods of Fundamental Solutions in Solid Mechanics by : Hui Wang

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

The Finite Element Method Using MATLAB

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Author :
Publisher : CRC Press
ISBN 13 : 1420041886
Total Pages : 624 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Finite Element Method Using MATLAB by : Young W. Kwon

Download or read book The Finite Element Method Using MATLAB written by Young W. Kwon and published by CRC Press. This book was released on 2018-10-03 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MATLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and mathematical perspective rather than that of a solid/structural mechanics basis. What's new in the Second Edition? Each chapter in the Second Edition now includes an overview that outlines the contents and purpose of each chapter. The authors have also added a new chapter of special topics in applications, including cracks, semi-infinite and infinite domains, buckling, and thermal stress. They discuss three different linearization techniques to solve nonlinear differential equations. Also included are new sections on shell formulations and MATLAB programs. These enhancements increase the book's already significant value both as a self-study text and a reference for practicing engineers and scientists.

Ophthalmological Imaging and Applications

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Publisher : CRC Press
ISBN 13 : 1466559152
Total Pages : 529 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Ophthalmological Imaging and Applications by : E. Y. K. Ng

Download or read book Ophthalmological Imaging and Applications written by E. Y. K. Ng and published by CRC Press. This book was released on 2014-05-05 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by and featuring contributions from world-class researchers, Ophthalmological Imaging and Applications offers a unified work of the latest human eye imaging and modeling techniques that have been proposed and applied to the diagnosis of ophthalmologic problems, including inflammation, cataracts, diabetic retinopathy, and glaucoma. With a foc

Recent Developments in Boundary Element Methods

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Publisher : WIT Press
ISBN 13 : 1845644921
Total Pages : 417 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Recent Developments in Boundary Element Methods by : Evangelous J. Sapountzakis

Download or read book Recent Developments in Boundary Element Methods written by Evangelous J. Sapountzakis and published by WIT Press. This book was released on 2010 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is a collection of articles contributed by colleagues, collaborators and past students to honor Professor John T. Katsikadelis on the occasion of his 70 years. Professor Katsikadelis, now an emeritus professor at the National Technical University of Athens in Greece, is one of the BEM pioneers who started his research in this field with his PhD thesis at the Polytechnic Institute of New York in the 1970s and continued it to date.The book comprises 26 contributions by more than 50 leading researchers in Boundary Element Methods (BEM) and other Mesh Reduction Methods (MRM). All contributors are well-known scientists from Asia, Australia, Europe, and North and South America. The volume is essentially a collection of both original and review articles covering a variety of research topics in the areas of solid mechanics, fluid mechanics, potential theory, composite materials, fracture mechanics, damage mechanics, plasticity, heat transfer, dynamics and vibrations and soil-structure interaction. Invaluable to scientists, engineers and other professionals interested in the latest developments of the boundary integral equation methods, it addresses the needs of the BEM computational mechanics research community.The book is written for: researchers in academia and industry and graduate students focusing on solid and fluid mechanics as used in civil, mechanical and aerospace engineering.

Development and Application of the Finite Element Method based on MatLab

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642131530
Total Pages : 64 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Development and Application of the Finite Element Method based on MatLab by : Herbert Baaser

Download or read book Development and Application of the Finite Element Method based on MatLab written by Herbert Baaser and published by Springer Science & Business Media. This book was released on 2010-05-10 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this booklet is a brief but general introduction into the treatment of the Finite Element Method (FEM). The FEM has become the leading method in computer–oriented mechanics, so that many scienti?c brancheshavegrownup besides overthelastdecades. Nevertheless,theFEM today is a question of economy. On the one hand its industrial application is forced to reduce product development costs and time, on the other hand a large number of commercial FEM codes and a still growing number of software for e?ective pre– and postprocessors are available in the meantime. Due to that, today it is a quite challenging task to operate with all these di?erent tools at the same time and to understand all handling and so- tion techniques developed over the last years. So, we want to help in getting a deeper insight into the main “interfaces” between the “customers of the FEM” and the codes itself by providing a totally open structured FE–code based on Matlab, which is a very powerful tool in operating with matrix based formulations. That idea and conditions forced us some years ago to initiateDAEdalon as a tool for general FE developments in research appli- tions. In spite of still existing high sophisticated – mostly commercial – FE codes, the success and the acceptance of such a structured tool justify that decision afterwards more and more.

The Trefftz Finite and Boundary Element Method

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Author :
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Trefftz Finite and Boundary Element Method by : Qing-Hua Qin

Download or read book The Trefftz Finite and Boundary Element Method written by Qing-Hua Qin and published by Computational Mechanics. This book was released on 2000 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an accessible and up-to-date introduction to the Trefftz finite element method. The author's main emphasis is on fundamental concepts and the development of different Trefftz element formulations for stress analysis of various elastic problems. The book is a reference for postgraduate students, researchers, scientists and professional engineers in computational mechanics, structural design, and applied mathematics.

Finite Element Analysis: With Numeric And Symbolic Matlab

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Author :
Publisher : World Scientific
ISBN 13 : 9811250634
Total Pages : 662 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Finite Element Analysis: With Numeric And Symbolic Matlab by : John Edward Akin

Download or read book Finite Element Analysis: With Numeric And Symbolic Matlab written by John Edward Akin and published by World Scientific. This book was released on 2022-12-02 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive compendium presents the detailed theory, implementation and application of finite element analysis via heavily commented Matlab scripts. The book includes over 110 examples of the methods, and has a very detailed subject index. It uniquely illustrates the use of symbolic Matlab capabilities to derive element interpolation functions and to analytically integrated complicated element matrices.The useful volume text is suitable as a reference on finite element methods and efficient Matlab programming. Chapters prominently end with a detailed summary of the important features and tables of useful finite element matrices. It can be used as the textbook for introductory, intermediate, or advanced courses utilizing numerically integrated and curvilinear element.

Introduction to Finite and Spectral Element Methods Using MATLAB

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Publisher : CRC Press
ISBN 13 : 1482209160
Total Pages : 823 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introduction to Finite and Spectral Element Methods Using MATLAB by : Constantine Pozrikidis

Download or read book Introduction to Finite and Spectral Element Methods Using MATLAB written by Constantine Pozrikidis and published by CRC Press. This book was released on 2014-06-20 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB, Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using

MATLAB Guide to Finite Elements

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540706984
Total Pages : 430 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis MATLAB Guide to Finite Elements by : Peter I. Kattan

Download or read book MATLAB Guide to Finite Elements written by Peter I. Kattan and published by Springer Science & Business Media. This book was released on 2010-05-13 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: later versions. In addition, the CD-ROM contains a complete solutions manual that includes detailed solutions to all the problems in the book. If the reader does not wish to consult these solutions, then a brief list of answers is provided in printed form at the end of the book. Iwouldliketothankmyfamilymembersfortheirhelpandcontinuedsupportwi- out which this book would not have been possible. I would also like to acknowledge the help of the editior at Springer-Verlag (Dr. Thomas Ditzinger) for his assistance in bringing this book out in its present form. Finally, I would like to thank my brother, Nicola, for preparing most of the line drawings in both editions. In this edition, I am providing two email addresses for my readers to contact me (pkattan@tedata. net. jo and pkattan@lsu. edu). The old email address that appeared in the ?rst edition was cancelled in 2004. December 2006 Peter I. Kattan PrefacetotheFirstEdition 3 This is a book for people who love ?nite elements and MATLAB . We will use the popular computer package MATLAB as a matrix calculator for doing ?nite element analysis. Problems will be solved mainly using MATLAB to carry out the tedious and lengthy matrix calculations in addition to some manual manipulations especially when applying the boundary conditions. In particular the steps of the ?nite element method are emphasized in this book. The reader will not ?nd ready-made MATLAB programsforuseasblackboxes. Insteadstep-by-stepsolutionsof?niteelementpr- lems are examined in detail using MATLAB.

Advanced Engineering Materials and Modeling

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119242541
Total Pages : 528 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Advanced Engineering Materials and Modeling by : Ashutosh Tiwari

Download or read book Advanced Engineering Materials and Modeling written by Ashutosh Tiwari and published by John Wiley & Sons. This book was released on 2016-08-12 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The engineering of materials with advanced features is driving the research towards the design of innovative materials with high performances. New materials often deliver the best solution for structural applications, precisely contributing towards the finest combination of mechanical properties and low weight. The mimicking of nature's principles lead to a new class of structural materials including biomimetic composites, natural hierarchical materials and smart materials. Meanwhile, computational modeling approaches are the valuable tools complementary to experimental techniques and provide significant information at the microscopic level and explain the properties of materials and their very existence. The modeling also provides useful insights to possible strategies to design and fabricate materials with novel and improved properties. The book brings together these two fascinating areas and offers a comprehensive view of cutting-edge research on materials interfaces and technologies the engineering materials. The topics covered in this book are divided into 2 parts: Engineering of Materials, Characterizations & Applications and Computational Modeling of Materials. The chapters include the following: Mechanical and resistance behavior of structural glass beams Nanocrystalline metal carbides - microstructure characterization SMA-reinforced laminated glass panel Sustainable sugarcane bagasse cellulose for papermaking Electrospun scaffolds for cardiac tissue engineering Bio-inspired composites Density functional theory for studying extended systems First principles based approaches for modeling materials Computer aided materials design Computational materials for stochastic electromagnets Computational methods for thermal analysis of heterogeneous materials Modelling of resistive bilayer structures Modeling tunneling of superluminal photons through Brain Microtubules Computer aided surgical workflow modeling Displaced multiwavelets and splitting algorithms

MATLAB Guide to Finite Elements

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540438748
Total Pages : 402 pages
Book Rating : 4.4/5 (387 download)

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Book Synopsis MATLAB Guide to Finite Elements by : Peter Issa Kattan

Download or read book MATLAB Guide to Finite Elements written by Peter Issa Kattan and published by Springer Science & Business Media. This book was released on 2003 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is concerned with the numerical implementation of Finite Element Analysis using the computer program MATLAB, which is very popular today in engineering and engineering education. The book contains a short tutorial on MATLAB as well as a systematic strategy for the treatment of finite element method. The book is directed towards both students and researchers in engineering. Various examples and exercises are provided out of Mechanical Engineering, Civil Engineering, Aerospace Engineering or Materials Science."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved