Finite Element Theory And Its Application With Open Source Codes
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Finite Element Theory And Its Application With Open Source Codes
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Author : Anthony Pickett
language : en
Publisher: Anthony Pickett
Release Date : 2020-11-10
Finite Element Theory And Its Application With Open Source Codes written by Anthony Pickett and has been published by Anthony Pickett this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-10 with Technology & Engineering categories.
This book combines essential finite element (FE) theory with a set of fourteen tutorials using relatively easy-to-use open source CAD, FE and other numerical analysis codes so a student can undertake practical analysis and self-study. The theory covers fundamentals of the finite element method. Formulation of element stiffness for one dimensional bar and beam, two dimensional and three dimensional continuum elements, plate and shell elements are derived based on energy and variational methods. Linear, nonlinear and transient dynamic solution methods are covered for both mechanical and field analysis problems with a focus on heat transfer. Other important theoretical topics covered include element integration, element assembly, loads, boundary conditions, contact and a chapter devoted to material laws on elasticity, hyperelasticity and plasticity. A brief introduction to Computational Fluid Dynamics (CFD) is also included. The second half of this book presents a chapter on using tutorials containing information on code installation (on Windows) and getting started, and general hints on meshing, modelling and analysis. This is then followed by tutorials and exercises that cover linear, nonlinear and dynamic mechanical analysis, steady state and transient heat analysis, field analysis, fatigue, buckling and frequency analysis, a hydraulic pipe network analysis, and lastly two tutorials on CFD simulation. In each case theory is linked with application and exercises are included for further self-study. For these tutorials open source codes FreeCAD, CalculiX, FreeMAT and OpenFOAM are used. CalculiX is a comprehensive FE package covering linear, nonlinear and transient analysis. One particular benefit is that its format and structure is based on Abaqus, so knowledge gained is relevant to a leading commercial code. FreeCAD is primarily a powerful CAD modelling code, that includes good finite element meshing and modelling capabilities and is fully integrated with CalculiX. FreeMAT is used in three tutorials for numerical analysis demonstrating algorithms for explicit finite element and CFD analysis. And OpenFOAM is used for other CFD flow simulations. The primary aim of this book is to provide a unified text covering theory and practice, so a student can learn and experiment with these versatile and powerful analysis methods. It should be of value to both finite element courses and for student self-study.
Finite Element Theory And Its Application With Open Source Codes
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Author : Anthony Pickett
language : en
Publisher:
Release Date : 2020-10-15
Finite Element Theory And Its Application With Open Source Codes written by Anthony Pickett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-15 with categories.
This book combines essential finite element (FE) theory with a set of twelve tutorials using relatively easy-to-use open source CAD, FE and numerical analysis codes so a student can undertake practical analysis and self-study. The theory covers fundamentals of the finite element method. Formulation of element stiffness for one dimensional bar and beam, two dimensional and three dimensional continuum elements, plate and shell elements are derived based on direct, energy and variational methods. Linear, nonlinear and transient dynamic solution methods are covered for both mechanical and field analysis problems with a focus on heat transfer. Other important theoretical topics covered include element integration, element assembly, loads, boundary conditions, contact and a chapter devoted to material laws on elasticity, hyperelasticity and plasticity.The second half of this book presents one chapter on using the tutorials containing information on installing the codes (on Windows) and getting started, and general hints on meshing, modelling and analysis. This is then followed by the tutorials and exercises which cover linear, nonlinear and dynamic mechanical analysis, steady state and transient heat analysis, field analysis, fatigue, buckling and frequency analysis, and lastly a hydraulic pipe network analysis. In each tutorial I have linked theory with application and included exercises for further self-study. For these tutorials open source codes FreeCAD, CalculiX and FreeMAT are used. CalculiX is a comprehensive FE package covering linear, nonlinear, mechanical, fluid and thermal analysis. One particular benefit is its format and structure, which is based on Abaqus and therefore knowledge gained is relevant to a leading commercial code. FreeCAD is primarily a powerful CAD modelling code, that includes good finite element meshing and modelling capabilities and is fully integrated with CalculiX. FreeMAT is used in two tutorials for numerical analysis demonstrating algorithms for explicit finite element analysis.The primary aim of this book is to provide a unified text covering theory and practice, so a student can learn and experiment with this versatile and powerful analysis method. It should be of interest to both finite element courses and for student self-study.Anthony Pickett undertook postgraduate research in composites analysis at the University of Surrey and RAE Farnborough, followed by nearly twenty-five years industrial work as scientific director with ESI GmbH developing and applying FE codes for crash, impact, process and mechanical simulation of metal and composite structures. From 2002 he was a professor at Cranfield University and since 2007 has continued research and teaching of advanced composites and analysis at IFB (Institute of Aircraft Design) at the University of Stuttgart, Germany.
Automated Solution Of Differential Equations By The Finite Element Method
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Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24
Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-24 with Computers categories.
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Matlab Codes For Finite Element Analysis
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Author : A. J. M. Ferreira
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-06
Matlab Codes For Finite Element Analysis written by A. J. M. Ferreira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Technology & Engineering categories.
This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected].
Finite Element Analysis Applications
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Author : Zhuming Bi
language : en
Publisher: Academic Press
Release Date : 2017-12-16
Finite Element Analysis Applications written by Zhuming Bi and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-16 with Mathematics categories.
Finite Element Analysis Applications: A Systematic and Practical Approach strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses the introduction of theories and focuses mainly on essentials that students need to understand FEA models. The book is organized to be application-oriented, covering FEA modeling theory and skills directly associated with activities involved in design processes. Discussion of classic FEA elements (such as truss, beam and frame) is limited. Via the use of several case studies, the book provides easy-to-follow guidance on modeling of different design problems. It uses SolidWorks simulation as the platform so that students do not need to waste time creating geometries for FEA modelling. - Provides a systematic approach to dealing with the complexity of various engineering designs - Includes sections on the design of machine elements to illustrate FEA applications - Contains practical case studies presented as tutorials to facilitate learning of FEA methods - Includes ancillary materials, such as a solutions manual for instructors, PPT lecture slides and downloadable CAD models for examples in SolidWorks
Practical Finite Element Analysis
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Author : Nitin S. Gokhale
language : en
Publisher: FINITE TO INFINITE
Release Date : 2008
Practical Finite Element Analysis written by Nitin S. Gokhale and has been published by FINITE TO INFINITE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Engineering categories.
Highlights of the book: Discussion about all the fields of Computer Aided Engineering, Finite Element Analysis Sharing of worldwide experience by more than 10 working professionals Emphasis on Practical usuage and minimum mathematics Simple language, more than 1000 colour images International quality printing on specially imported paper Why this book has been written ... FEA is gaining popularity day by day & is a sought after dream career for mechanical engineers. Enthusiastic engineers and managers who want to refresh or update the knowledge on FEA are encountered with volume of published books. Often professionals realize that they are not in touch with theoretical concepts as being pre-requisite and find it too mathematical and Hi-Fi. Many a times these books just end up being decoration in their book shelves ... All the authors of this book are from IIT€™s & IISc and after joining the industry realized gap between university education and the practical FEA. Over the years they learned it via interaction with experts from international community, sharing experience with each other and hard route of trial & error method. The basic aim of this book is to share the knowledge & practices used in the industry with experienced and in particular beginners so as to reduce the learning curve & avoid reinvention of the cycle. Emphasis is on simple language, practical usage, minimum mathematics & no pre-requisites. All basic concepts of engineering are included as & where it is required. It is hoped that this book would be helpful to beginners, experienced users, managers, group leaders and as additional reading material for university courses.
Extended Finite Element Method
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Author : Amir R. Khoei
language : en
Publisher: John Wiley & Sons
Release Date : 2014-12-16
Extended Finite Element Method written by Amir R. Khoei and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-16 with Science categories.
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
The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13
The Finite Element Method Theory Implementation And Applications written by Mats G. Larson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-13 with Computers categories.
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
Advanced Topics In Mechanics Of Materials Structures And Construction
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Author : Erasmo Carrera
language : en
Publisher: Materials Research Forum LLC
Release Date : 2023-09-01
Advanced Topics In Mechanics Of Materials Structures And Construction written by Erasmo Carrera and has been published by Materials Research Forum LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-01 with Technology & Engineering categories.
The book presents 81 papers referring to the properties and applications of technologically important materials. Topics covered include material characterization, environmental impact, probabilistic assessment, failure analysis, vibration analysis, AI-based predictions, conceptual models, thermo-mechanical properties, numerical models, design and simulation, industrial performance and failure analysis. Keywords: Laminated Sandwich Shell, Polymer Nanocomposite, Cellular Glass Foam, Porous Spherical Shells, Cracks Between Dissimilar Materials, Soil Stabilization, Dynamic Strain Aging, Composite Plates, Recycled Concrete Aggregates, Preparation & Characterization of Nanoparticles, Auxetic Materials, Biomechanical Model, Cellular Lightweight Concrete, Thermoplastic Materials, Powder Metal Gears, Fibre Reinforced Concrete, Adhesively Bonded Composites, Solar PV Power, Kirigami Folded Structures, Steel Fibres, Solar Panels, Electric Discharge Machining, Energy Harvesting, Energy Conversion, Glass/Epoxy Pipe, Manufacturing Strategy, Additive Manufacturing, Fibre-Reinforced Aluminum, Telescopic Paraboloidal Solar Concentrator, Energy Storage, Machining Waste Fibers, Numerical Simulation, Foam Concrete, Heat Exchangers, Nanofluids, Spherical Cavity Explosion, Cross-Ply Structure, Reinforced Concrete Walls, Artificial Intelligence, l-shaped Metamaterials, Sand-Bentonite Liners, Layered Composite Arches, Stitched Sandwich Structures, Semilinear Hyperelastic Solids, Filament Fabrication, Polyethylene Bottles, Spherical Shells, Steel Boiler Tub, Mortars, 3D Printing, Electromagnetic Forming.
Handbook Of Materials Modeling
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Author : Sidney Yip
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-17
Handbook Of Materials Modeling written by Sidney Yip and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-17 with Science categories.
The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.