Introduction to the Finite Element Method and Implementation with MATLAB

Introduction to the Finite Element Method and Implementation with MATLAB
Author : Gang Li
Publisher : Cambridge University Press
Total Pages :
Release : 2020-07-31
ISBN 10 : 9781108573863
ISBN 13 : 110857386X
Language : EN, FR, DE, ES & NL

Introduction to the Finite Element Method and Implementation with MATLAB Book Description:

Connecting theory with numerical techniques using MATLAB®, this practical textbook equips students with the tools required to solve finite element problems. This hands-on guide covers a wide range of engineering problems through nine well-structured chapters including solid mechanics, heat transfer and fluid dynamics; equilibrium, steady state and transient; and 1-D, 2-D and 3-D problems. Engineering problems are discussed using case study examples, which are solved using a systematic approach, both by examining the steps manually and by implementing a complete MATLAB®code. This topical coverage is supplemented by discourse on meshing with a detailed explanation and implementation of 2-D meshing algorithms. Introducing theory and numerical techniques alongside comprehensive examples this text increases engagement and provides students with the confidence needed to implement their own computer codes to solve given problems.

An Introduction to Nonlinear Finite Element Analysis

An Introduction to Nonlinear Finite Element Analysis
Author : Junuthula Narasimha Reddy
Publisher : Oxford University Press, USA
Total Pages : 687
Release : 2015
ISBN 10 : 9780199641758
ISBN 13 : 0199641757
Language : EN, FR, DE, ES & NL

An Introduction to Nonlinear Finite Element Analysis Book Description:

The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters.

Investigation of the Element Pattern in Cylindrical Phased Arrays of Circular Waveguides

Investigation of the Element Pattern in Cylindrical Phased Arrays of Circular Waveguides
Author : Quirino Balzano
Publisher :
Total Pages : 56
Release : 1972
ISBN 10 : UOM:39015095134675
ISBN 13 :
Language : EN, FR, DE, ES & NL

Investigation of the Element Pattern in Cylindrical Phased Arrays of Circular Waveguides Book Description:

The radiation from the elements in a cylindrical phased array is analyzed theoretically and experimentally. The theoretical investigation has developed a multimodal analysis method for cylindrical arrays. The method is similar to that for plane arrays, whereby, the field inside the element is represented as the superposition of a set of waveguide modes. The method allows the definition and the precise evaluation of the driving point admittance of the elements. A comparison between the driving point admittance in planar and cylindrical arrays is made and the conditions for the use of Wheeler simulators for cylindrical array element design are set. (Author).

Finite Element Method and Medical Imaging Techniques in Bone Biomechanics

Finite Element Method and Medical Imaging Techniques in Bone Biomechanics
Author : Rabeb Ben Kahla
Publisher : John Wiley & Sons
Total Pages : 200
Release : 2019-12-05
ISBN 10 : 9781119681618
ISBN 13 : 1119681618
Language : EN, FR, DE, ES & NL

Finite Element Method and Medical Imaging Techniques in Bone Biomechanics Book Description:

Digital models based on data from medical images have recently become widespread in the field of biomechanics. This book summarizes medical imaging techniques and processing procedures, both of which are necessary for creating bone models with finite element methods. Chapter 1 introduces the main principles and the application of the most commonly used medical imaging techniques. Chapter 2 describes the major methods and steps of medical image analysis and processing. Chapter 3 presents a brief review of recent studies on reconstructed finite element bone models, based on medical images. Finally, Chapter 4 reveals the digital results obtained for the main bone sites that have been targeted by finite element modeling in recent years.

Finite Element Mesh Generation

Finite Element Mesh Generation
Author : Daniel S.H. Lo
Publisher : CRC Press
Total Pages : 672
Release : 2015-01-15
ISBN 10 : 9780415690485
ISBN 13 : 041569048X
Language : EN, FR, DE, ES & NL

Finite Element Mesh Generation Book Description:

Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.

Finite Element Method

Finite Element Method
Author : Păcurar Răzvan
Publisher : BoD – Books on Demand
Total Pages : 322
Release : 2018-02-28
ISBN 10 : 9789535138495
ISBN 13 : 9535138499
Language : EN, FR, DE, ES & NL

Finite Element Method Book Description:

The book entitled Finite Element Method: Simulation, Numerical Analysis, and Solution Techniques aims to present results of the applicative research performed using FEM in various engineering fields by researchers affiliated to well-known universities. The book has a profound interdisciplinary character and is mainly addressed to researchers, PhD students, graduate and undergraduate students, teachers, engineers, as well as all other readers interested in the engineering applications of FEM. I am confident that readers will find information and challenging topics of high academic and scientific level, which will encourage them to enhance their knowledge in this engineering domain having a continuous expansion. The applications presented in this book cover a broad spectrum of finite element applications starting from mechanical, electrical, or energy production and finishing with the successful simulation of severe meteorological phenomena.

Extended Finite Element Method

Extended Finite Element Method
Author : Zhuo Zhuang
Publisher : Academic Press
Total Pages : 286
Release : 2014-03-24
ISBN 10 : 9780124078567
ISBN 13 : 0124078567
Language : EN, FR, DE, ES & NL

Extended Finite Element Method Book Description:

Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials. Authored by an expert team from one of China's leading academic and research institutions Offers complete coverage of XFEM, from fundamentals to applications, with numerous examples Provides the understanding needed to effectively use the latest XFEM code and software tools to model and simulate dynamic crack problems

An Introduction to Nonlinear Finite Element Analysis

An Introduction to Nonlinear Finite Element Analysis
Author : J. N. Reddy
Publisher : OUP Oxford
Total Pages : 768
Release : 2014-10-24
ISBN 10 : 9780191034855
ISBN 13 : 0191034851
Language : EN, FR, DE, ES & NL

An Introduction to Nonlinear Finite Element Analysis Book Description:

The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the programming segments are in Fortran, the logic used in these Fortran programs is transparent and can be used in Matlab or C++ versions of the same. Thus the new edition more than replaces the first edition, and it is hoped that it is acquired by the library of every institution of higher learning as well as serious finite element analysts. The book may be used as a textbook for an advanced course (after a first course) on the finite element method or the first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

Fast Multipole Boundary Element Method

Fast Multipole Boundary Element Method
Author : Yijun Liu
Publisher : Cambridge University Press
Total Pages : 235
Release : 2009-08-24
ISBN 10 : 9780521116596
ISBN 13 : 0521116597
Language : EN, FR, DE, ES & NL

Fast Multipole Boundary Element Method Book Description:

First book on the fast multipole BEM, bringing together classical theory in BEM formulations and the fast multipole method.