Finite Element Theory And Its Application With Open Source Codes

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Finite element theory and its application with open source codes

Author : Anthony Pickett
Publisher : Anthony Pickett
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4./5 ( download)

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Book Synopsis Finite element theory and its application with open source codes by : Anthony Pickett

Download or read book Finite element theory and its application with open source codes written by Anthony Pickett and published by Anthony Pickett. This book was released on 2020-11-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Programming the Finite Element Method

Author : I. M. Smith
Publisher : John Wiley & Sons
ISBN 13 : 0470011246
Total Pages : 649 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Programming the Finite Element Method by : I. M. Smith

Download or read book Programming the Finite Element Method written by I. M. Smith and published by John Wiley & Sons. This book was released on 2005-06-10 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title demonstrates how to develop computer programmes which solve specific engineering problems using the finite element method. It enables students, scientists and engineers to assemble their own computer programmes to produce numerical results to solve these problems. The first three editions of Programming the Finite Element Method established themselves as an authority in this area. This fully revised 4th edition includes completely rewritten programmes with a unique description and list of parallel versions of programmes in Fortran 90. The Fortran programmes and subroutines described in the text will be made available on the Internet via anonymous ftp, further adding to the value of this title.

Automated Solution of Differential Equations by the Finite Element Method

Author : Anders Logg
Publisher : Springer Science & Business Media
ISBN 13 : 3642230997
Total Pages : 723 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Automated Solution of Differential Equations by the Finite Element Method by : Anders Logg

Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Element Theory and Its Application with Open-source Codes

Author : Anthony Pickett
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.6/5 (932 download)

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Book Synopsis Finite Element Theory and Its Application with Open-source Codes by : Anthony Pickett

Download or read book Finite Element Theory and Its Application with Open-source Codes written by Anthony Pickett and published by . This book was released on 2020-10-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Soil Degradation-Consolidation Theory and Its Applications

Author : Yunmin Chen
Publisher : Springer Nature
ISBN 13 : 9819779855
Total Pages : 250 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Soil Degradation-Consolidation Theory and Its Applications by : Yunmin Chen

Download or read book Soil Degradation-Consolidation Theory and Its Applications written by Yunmin Chen and published by Springer Nature. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Programming the Finite Element Method

Author : I. M. Smith
Publisher : John Wiley & Sons
ISBN 13 : 9780471100980
Total Pages : 351 pages
Book Rating : 4.1/5 (9 download)

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Book Synopsis Programming the Finite Element Method by : I. M. Smith

Download or read book Programming the Finite Element Method written by I. M. Smith and published by John Wiley & Sons. This book was released on 1982 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
ISBN 13 : 1118869699
Total Pages : 584 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2014-12-16 with total page 584 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

Finite Element Analysis Applications

Author : Zhuming Bi
Publisher : Academic Press
ISBN 13 : 012810399X
Total Pages : 522 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Finite Element Analysis Applications by : Zhuming Bi

Download or read book Finite Element Analysis Applications written by Zhuming Bi and published by Academic Press. This book was released on 2017-12-16 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Finite Element Modelling of Shot Peening and Strengthening Mechanism Analysis

Author : Cheng Wang
Publisher : Scientific Research Publishing, Inc. USA
ISBN 13 : 1649977069
Total Pages : 336 pages
Book Rating : 4.6/5 (499 download)

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Book Synopsis Finite Element Modelling of Shot Peening and Strengthening Mechanism Analysis by : Cheng Wang

Download or read book Finite Element Modelling of Shot Peening and Strengthening Mechanism Analysis written by Cheng Wang and published by Scientific Research Publishing, Inc. USA. This book was released on 2023-08-25 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The service performance and life of metal parts are closely related to the surface integrity of materials. Shot peening (SP) is a well-known surface strengthening technique and is widely used for the improvement of the component surface integrity in industrial fields, such as aerospace,vehicle, construction machinery and etc. With the rapid development of science and technology, numerous new SP techniques have been developed from the conventional mechanical shot peening, such as the laser shock peening (LSP), ultrasonic shot peening (USP),surface mechanical attrition treatment (SMAT) and etc. Different from the other mechanical processing techniques, a considerable number of process parameters have an influence on the surface strengthening effects of shot-peened metal parts. Therefore, the selection of the SP process parameters with respect to the different metal parts has always been a challenge. With the rapid development of the computer technology, the numerical simulation has increasingly attracted the more and more attentions both from the academy and the industry. Compared to the experimental investigations, the numerical simulations are not only timesaving and economical, but also can provide an insight into the surface strengthening mechanisms of SP.

Finite Element Methods for Computational Fluid Dynamics

Author : Dmitri Kuzmin
Publisher : SIAM
ISBN 13 : 1611973600
Total Pages : 321 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Finite Element Methods for Computational Fluid Dynamics by : Dmitri Kuzmin

Download or read book Finite Element Methods for Computational Fluid Dynamics written by Dmitri Kuzmin and published by SIAM. This book was released on 2014-12-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.?Finite Element Methods for Computational Fluid Dynamics: A Practical Guide?explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.?

Theory and Practice of Additive Manufacturing

Author : Tuhin Mukherjee
Publisher : John Wiley & Sons
ISBN 13 : 1394202261
Total Pages : 453 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Theory and Practice of Additive Manufacturing by : Tuhin Mukherjee

Download or read book Theory and Practice of Additive Manufacturing written by Tuhin Mukherjee and published by John Wiley & Sons. This book was released on 2023-10-03 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Additive manufacturing (AM) is a process of building parts by progressively adding thin layers of materials, sometimes layers thinner than a human hair. Computers play a central role in AM because the printing process is guided by a digital model. Imagine a computer slicing a three-dimensional object into many parallel thin slices, figuring out how to print each slice one after the other, and then having a mechanism to combine each layer with those previously deposited. Parts are made with metals, ceramics, polymers, and composite materials. There are many types of additive manufacturing. The type of material printed, its size, cost competitiveness, and other part attributes all influence the choice."--

Computational Finite Element Methods in Nanotechnology

Author : Sarhan M. Musa
Publisher : CRC Press
ISBN 13 : 1439893268
Total Pages : 640 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Computational Finite Element Methods in Nanotechnology by : Sarhan M. Musa

Download or read book Computational Finite Element Methods in Nanotechnology written by Sarhan M. Musa and published by CRC Press. This book was released on 2017-12-19 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Finite Element Methods in Nanotechnology demonstrates the capabilities of finite element methods in nanotechnology for a range of fields. Bringing together contributions from researchers around the world, it covers key concepts as well as cutting-edge research and applications to inspire new developments and future interdisciplinary research. In particular, it emphasizes the importance of finite element methods (FEMs) for computational tools in the development of efficient nanoscale systems. The book explores a variety of topics, including: A novel FE-based thermo-electrical-mechanical-coupled model to study mechanical stress, temperature, and electric fields in nano- and microelectronics The integration of distributed element, lumped element, and system-level methods for the design, modeling, and simulation of nano- and micro-electromechanical systems (N/MEMS) Challenges in the simulation of nanorobotic systems and macro-dimensions The simulation of structures and processes such as dislocations, growth of epitaxial films, and precipitation Modeling of self-positioning nanostructures, nanocomposites, and carbon nanotubes and their composites Progress in using FEM to analyze the electric field formed in needleless electrospinning How molecular dynamic (MD) simulations can be integrated into the FEM Applications of finite element analysis in nanomaterials and systems used in medicine, dentistry, biotechnology, and other areas The book includes numerous examples and case studies, as well as recent applications of microscale and nanoscale modeling systems with FEMs using COMSOL Multiphysics® and MATLAB®. A one-stop reference for professionals, researchers, and students, this is also an accessible introduction to computational FEMs in nanotechnology for those new to the field.

Thermal Ablation Therapy

Author : Amira S. Ashour
Publisher : Academic Press
ISBN 13 : 0128231564
Total Pages : 467 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Thermal Ablation Therapy by : Amira S. Ashour

Download or read book Thermal Ablation Therapy written by Amira S. Ashour and published by Academic Press. This book was released on 2021-05-18 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermal Ablation Therapy: Theory and Simulation includes detailed theoretical and technical concepts of thermal ablation therapy in different body organs. Concepts of ablation technology based on different thermal ablation methods are introduced, along with changes in the tissues' mechanical properties due to thermal denaturation. The book emphasizes the mathematical and engineering concepts of RF and MW energy propagation through tissues and where high heating rates produced by MW systems can overcome the heat-sink effects from nearby vessels. The design and tuning of the MW antennas to deliver energy efficiently to specific organ systems such as the liver or lung is also covered. Other sections cover the computational modeling of radiofrequency ablation and microwave ablation procedures for developing and implementing new efficient ablation in clinical systems, numerical simulations for different scenarios of different organs with different size using RF and MW ablation systems with different antennas'/probes design and configurations, and numerical techniques for temperature profile in tissues. - Presents the latest mathematical models of microwave and RF ablation theories - Discusses the biological responses and engineering principles by which thermal ablation techniques can provide temperature-elevation within the organs of the human body, including action mechanisms, required equipment, needle characteristics and treatment techniques - Highlights the different techniques of thermal ablation, including radiofrequency ablation, microwave ablation, laser ablation, and ultrasound ablation, nanotechnology, and the different metrics used to evaluate the performance of the used antenna within the ablation needle

Density Functional Theory

Author : Eric Cancès
Publisher : Springer Nature
ISBN 13 : 3031223403
Total Pages : 595 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Density Functional Theory by : Eric Cancès

Download or read book Density Functional Theory written by Eric Cancès and published by Springer Nature. This book was released on 2023-07-18 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density functional theory (DFT) provides the most widely used models for simulating molecules and materials based on the fundamental laws of quantum mechanics. It plays a central role in a huge spectrum of applications in chemistry, physics, and materials science.Quantum mechanics describes a system of N interacting particles in the physical 3-dimensional space by a partial differential equation in 3N spatial variables. The standard numerical methods thus incur an exponential increase of computational effort with N, a phenomenon known as the curse of dimensionality; in practice these methods already fail beyond N=2. DFT overcomes this problem by 1) reformulating the N-body problem involving functions of 3N variables in terms of the density, a function of 3 variables, 2) approximating it by a pioneering hybrid approach which keeps important ab initio contributions and re-models the remainder in a data-driven way. This book intends to be an accessible, yet state-of-art text on DFT for graduate students and researchers in applied and computational mathematics, physics, chemistry, and materials science. It introduces and reviews the main models of DFT, covering their derivation and mathematical properties, numerical treatment, and applications.

Optimization in Food Engineering

Author : Ferruh Erdogdu
Publisher : CRC Press
ISBN 13 : 1420061429
Total Pages : 788 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Optimization in Food Engineering by : Ferruh Erdogdu

Download or read book Optimization in Food Engineering written by Ferruh Erdogdu and published by CRC Press. This book was released on 2008-12-09 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: While mathematically sophisticated methods can be used to better understand and improve processes, the nonlinear nature of food processing models can make their dynamic optimization a daunting task. With contributions from a virtual who's who in the food processing industry, Optimization in Food Engineering evaluates the potential uses and limitati

The Finite Element Method: Theory, Implementation, and Applications

Author : Mats G. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 3642332870
Total Pages : 403 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Finite Element Method: Theory, Implementation, and Applications by : Mats G. Larson

Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Mathematics and Advanced Applications 2011

Author : Andrea Cangiani
Publisher : Springer Science & Business Media
ISBN 13 : 3642331343
Total Pages : 811 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Numerical Mathematics and Advanced Applications 2011 by : Andrea Cangiani

Download or read book Numerical Mathematics and Advanced Applications 2011 written by Andrea Cangiani and published by Springer Science & Business Media. This book was released on 2013-01-20 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.