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Practical Finite Element Modeling in Earth Science using Matlab

Author : Guy Simpson

Publisher : John Wiley & Sons

Page : 269 pages

File Size : 45,37 MB

Release : 2017-03-01

Category : Science

ISBN : 1119248655

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Book Description

Mathematical models have become a crucial way for the Earth scientist to understand and predict how our planet functions and evolves through time and space. The finite element method (FEM) is a remarkably flexible and powerful tool with enormous potential in the Earth Sciences. This pragmatic guide explores how a variety of different Earth science problems can be translated and solved with FEM, assuming only basic programming experience. This book begins with a general introduction to numerical modeling and includes multiple sample Matlab codes to illustrate how FEM is implemented in practice. Textboxes have been included to provide additional detail, such as specialized Matlab usage or advanced topics. Covering all the key aspects, this is essential reading for those looking to master the technique, as well as those simply seeking to increase their basic level of understanding and appreciation of FEM.



Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Author : Amar Khennane

Publisher : CRC Press

Page : 490 pages

File Size : 40,42 MB

Release : 2013-06-10

Category : Technology & Engineering

ISBN : 1466580208

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Book Description

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.



Civil, Structural and Environmental Engineering III

Author : Yong Huang

Publisher : Trans Tech Publications Ltd

Page : 3499 pages

File Size : 22,10 MB

Release : 2014-12-11

Category : Technology & Engineering

ISBN : 3038267430

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Book Description

Selected, peer reviewed papers from the 2014 3rd Global Conference on Civil, Structural and Environmental Engineering (GCCSEE 2014), October 21-22, 2014, Chengdu, China



MATLAB Codes for Finite Element Analysis

Author : A. J. M. Ferreira

Publisher : Springer Science & Business Media

Page : 236 pages

File Size : 41,30 MB

Release : 2008-11-06

Category : Technology & Engineering

ISBN : 1402092008

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Book Description

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].



Extended Finite Element and Meshfree Methods

Author : Timon Rabczuk

Publisher : Academic Press

Page : 640 pages

File Size : 19,56 MB

Release : 2019-11-13

Category : Technology & Engineering

ISBN : 0128141077

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Book Description

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. - Explains all the important theory behind XFEM and meshfree methods - Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes - Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods - Introduces alternative modeling methods to help readers decide what is most appropriate for their work



Automated Solution of Differential Equations by the Finite Element Method

Author : Anders Logg

Publisher : Springer Science & Business Media

Page : 723 pages

File Size : 20,48 MB

Release : 2012-02-24

Category : Computers

ISBN : 3642230997

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Book Description

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.





An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

Author : Knut-Andreas Lie

Publisher : Cambridge University Press

Page : 677 pages

File Size : 46,78 MB

Release : 2019-08-08

Category : Business & Economics

ISBN : 1108492436

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Book Description

Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.



Finite Element Method

Author : G.R. Liu

Publisher : Elsevier

Page : 365 pages

File Size : 12,86 MB

Release : 2003-02-21

Category : Mathematics

ISBN : 0080472761

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Book Description

The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer.Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout.The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. - A practical and accessible guide to this complex, yet important subject - Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality



Introduction to Numerical Geodynamic Modelling

Author : Taras Gerya

Publisher : Cambridge University Press

Page : 359 pages

File Size : 15,75 MB

Release : 2010

Category : Mathematics

ISBN : 0521887542

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Book Description

This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.