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Author : M. J. Baines
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (897 download)
Download or read book Moving Finite Elements: Regularisation Techniques written by M. J. Baines and published by . This book was released on 1986 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nina Ovcharova
Publisher : Cuvillier Verlag
ISBN 13 : 3736941803
Total Pages : 194 pages
Book Rating : 4.7/5 (369 download)
Download or read book Regularization Methods and Finite Element Approximation of Hemivariational Inequalities with Applications to Nonmonotone Contact Problems written by Nina Ovcharova and published by Cuvillier Verlag. This book was released on 2012-09-11 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we consider mechanical problems with nonmonotone contact, like adhesive problems, delamination problems, bilateral contact problems with nonmonotone friction law, nonmonotone unilateral contact, etc. In all of them the contact phenomena are described by nonmonotone and multivalued laws, which can be expressed by means of the Clarke subdifferential of a locally Lipschitz function called a nonconvex, nonsmooth superpotential. Problems involving such laws give rise to hemivariational inequalities introduced for the first time by the engineer Panagiotopoulos in the eighties. In this work, we combine the regularization techniques with the finite element method to approximate a special class of hemivariational inequalities with maximum (resp. minimum) superpotential. Using some classes of smoothing approximations for nonsmooth functions based on convolution, we provide a regularization procedure to smooth the nonsmooth superpotential. The non-differentiable functional is approximated by a family of differentiable ones. Convergence of the solution based on the regularized problem to the solution of the original problem is shown. Then, the finite element approach for the regularized problem is analysed and convergence results are given. As an application we consider some model examples from continuum mechanics with nonmonotone contact and present some numerical results.
Author : Siu-Seong Law
Publisher : CRC Press
ISBN 13 : 0203841425
Total Pages : 332 pages
Book Rating : 4.2/5 (38 download)
Download or read book Moving Loads - Dynamic Analysis and Identification Techniques written by Siu-Seong Law and published by CRC Press. This book was released on 2011-02-18 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction phenomenon is very common between different components of a mechanical system. It is a natural phenomenon and is found with the impact force in aircraft landing; the estimation of degree of ripeness of an apple from impact on a beam; the interaction of the magnetic head of a computer disk leading to miniature development of modern c
Author : B.M. Herbst
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (638 download)
Download or read book Moving Finite Element Methods for the Solution of Evolution Equations written by B.M. Herbst and published by . This book was released on 1982 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohammad Dhjahed Djomehri
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (29 download)
Download or read book Moving Finite Element Solution of Systems of Partial Differential Equations in 1-dimension written by Mohammad Dhjahed Djomehri and published by . This book was released on 1983 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. A. Zegeling
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)
Download or read book Moving-grid Methods for Time-dependent Partial Differential Equations written by P. A. Zegeling and published by . This book was released on 1993 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gérard Meunier
Publisher : John Wiley & Sons
ISBN 13 : 0470393807
Total Pages : 618 pages
Book Rating : 4.4/5 (73 download)
Download or read book The Finite Element Method for Electromagnetic Modeling written by Gérard Meunier and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.
Author : Patrick Ciarlet
Publisher : John Wiley & Sons
ISBN 13 : 1786307685
Total Pages : 404 pages
Book Rating : 4.7/5 (863 download)
Download or read book The Finite Element Method written by Patrick Ciarlet and published by John Wiley & Sons. This book was released on 2023-08-29 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.
Author : Zhangxin Chen
Publisher : Springer Science & Business Media
ISBN 13 : 3540240780
Total Pages : 415 pages
Book Rating : 4.5/5 (42 download)
Download or read book Finite Element Methods and Their Applications written by Zhangxin Chen and published by Springer Science & Business Media. This book was released on 2005-06-23 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.
Author : Peter Hansbo
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)
Download or read book Moving Finite Element Methods by Use of Space-time Elements written by Peter Hansbo and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew N. Hryamk
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (149 download)
Download or read book An Implementation of a Moving Finite Element Method written by Andrew N. Hryamk and published by . This book was released on 1984 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Weizhang Huang
Publisher : Springer Science & Business Media
ISBN 13 : 1441979166
Total Pages : 446 pages
Book Rating : 4.4/5 (419 download)
Download or read book Adaptive Moving Mesh Methods written by Weizhang Huang and published by Springer Science & Business Media. This book was released on 2010-10-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.
Author : Michael Sutton
Publisher : Springer
ISBN 13 : 3319514393
Total Pages : 257 pages
Book Rating : 4.3/5 (195 download)
Download or read book International Digital Imaging Correlation Society written by Michael Sutton and published by Springer. This book was released on 2017-03-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection represents a single volume of technical papers presented at the Annual International DIC Society Conference and SEM Fall Conference organized by the Society for Experimental Mechanics and Sandia National Laboratories and held in Philadelphia, PA, November 7-10, 2016. The volume presents early findings from experimental, standards development and various other investigations concerning digital image correlation - an important area within Experimental Mechanics. The area of Digital Image Correlation has been an integral track within the SEM Annual Conference spearheaded by Professor Michael Sutton from the University of South Carolina. In 2016, the SEM and Sandia joined their collaborative strengths to launch a standing fall meeting focusing specifically on developments in the area of Digital Image Correlation. The contributed papers within this volume span numerous technical aspects of DIC including standards development for the industry.
Author : Timon Rabczuk
Publisher : Academic Press
ISBN 13 : 0128141077
Total Pages : 638 pages
Book Rating : 4.1/5 (281 download)
Download or read book Extended Finite Element and Meshfree Methods written by Timon Rabczuk and published by Academic Press. This book was released on 2019-11-13 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Jean-Frédéric Gerbeau
Publisher : Numerical Mathematics and Scie
ISBN 13 : 0198566654
Total Pages : 325 pages
Book Rating : 4.1/5 (985 download)
Download or read book Mathematical Methods for the Magnetohydrodynamics of Liquid Metals written by Jean-Frédéric Gerbeau and published by Numerical Mathematics and Scie. This book was released on 2006-08-31 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis laid on the magnetohydrodynamics of liquid metals, and on a prototypical industrial application. Aimed at research mathematicians, engineers, and physicists, as well as those working in industry, and starting from a good understanding of the physics at play, the approach is a highly mathematical one, based on the rigorous analysis of theequations at hand, and a solid numerical analysis to found the simulations. At each stage of the exposition, examples of numerical simulations are provided, first on academic test cases to illustrate the approach, next on benchmarks well documented in the professional literature, and finally, wheneverpossible, on real industrial cases.
Author :
Publisher :
ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.3/5 (129 download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1986 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : El-Sayed H. Ibrahim
Publisher : CRC Press
ISBN 13 : 1482263718
Total Pages : 740 pages
Book Rating : 4.4/5 (822 download)
Download or read book Heart Mechanics written by El-Sayed H. Ibrahim and published by CRC Press. This book was released on 2017-09-19 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on research and clinical trials, this book details the latest research in magnetic resonance imaging (MRI) tagging technology related to heart mechanics. It covers clinical applications and examines future trends, providing a guide for future uses of MRI technology for studying heart mechanics.
