Download or read book Finite Element Analysis for Incompressible Material written by Wern-Ping Chen and published by . This book was released on 1983 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Analysis of the P Version of the Finite Element Method for Nearly Incompressible Materials Uniformly Valid Optimal Error Estimates written by Michael Vogelius and published by . This book was released on 1982 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we analyze the behavior of the so-called p-version of the finite element method when applied to the equations of plane strain linear elasticity. We establish optimal rate error estimates that are uniformly valid, independent of the value of the Poisson ratio, nu, in the interval 0, 1/2. This shows that the p-version does not exhibit the degeneracy phenomenon which has led to the use of various, only partially justified techniques of reduced integration or mixed formulations for more standard finite element schemes and the case of a nearly incompressible material. (Author).
Download or read book Finite Element Analysis of Elastomers written by David Boast and published by . This book was released on 1999 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading researchers and practitioners, Finite Element Analysis of Elastomers blends established knowledge in this important area with up-to-date research topics, practical hints and thought-provoking new ideas. The Editors, have compiled contributions by leading researchers and practitioners in finite element analysis (FEA): the result is an authoritative and agenda-setting volume. Finite element modelling can only be as good as the constitutive laws (material models) used, the means of obtaining and fitting the data for those models, and the accuracy of the boundary conditions. (The latter is of particular importance in cases of contact.) All three questions recieve particular attention in this book, as do aspects such as the interpretation and accuracy of FE outputs, with many practical examples being given. There is a short section on fatigue and failure, where particular concerns and approaches in this challenging area are discussed. Comprehensive coverage is given to particular issues concerning the problems of working with real elastomers, especially filled materials. Key features include: Constitutive laws for hyperelastic and inelastic aspects of behaviour Appropriate test methods Curve fitting to obtain constants for constitutive laws Interpretation of finite element results Modelling of crack growth Example applications.
Download or read book Nonlinear Finite Element Analysis of Incompressible Hyperelastic Materials Using Symmetric Stiffness Matrix written by Takao Takamatsu and published by . This book was released on 1976 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods for Mixed Finite Element Problems written by Jean Deteix and published by Springer Nature. This book was released on 2022-09-24 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet’s boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.
Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.
Download or read book Introduction to Nonlinear Finite Element Analysis written by Nam-Ho Kim and published by Springer Science & Business Media. This book was released on 2014-11-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appendices: ANSYS, NASTRAN, ABAQUS, and MATLAB. In particular, the MATLAB program includes all source codes so that students can develop their own material models, or different algorithms. Please visit the author's website for supplemental material, including PowerPoint presentations and MATLAB codes, at http://www2.mae.ufl.edu/nkim/INFEM/
Download or read book Finite Element Analysis of Two Cylindrical Expansion Problems Involving Near Incompressible Material Behaviour written by H. J. Burd and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics Third Edition written by J. N. Reddy and published by CRC Press. This book was released on 2010-04-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.
Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 2008-03-13 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.
Download or read book An iterative algorithm for the finite element analysis of near incompressible materials written by Marcelo Elisardo Canga and published by . This book was released on 1997 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Volume Methods for the Incompressible Navier Stokes Equations written by Jian Li and published by Springer Nature. This book was released on 2022-01-20 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations. This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fields of engineering, mathematics, physics, and computer sciences.
Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Analysis of Incompressible Solids written by David Starr Malkus and published by . This book was released on 1976 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.?
Download or read book The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations written by A. K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.
