A first corse in finite element analysis

A first corse in finite element analysis

Description

The text material evolved from over 50 years of combined teaching experience it deals with a formulation and application of the finite element method. A meaningful course can be constructed from a subset of the chapters in this book for a quarter course; instructions for such use are given in the preface. The course material is organized in three chronological units of one month each:  1) the finite element formulation for one-dimensional problems, 2) the finite element formulation for scalar field problems in two dimensions and 3)
finite element programming and application to scalar field problems; and finite element formulation for vector field problems in two dimensions and beams.  In conjunction with the book there will be the access and use of ABAQUS software and MATLAB exercises.

Table of Contents

Preface.
1. Introduction.
2. Direct approach for Discrete Systems.
3. Strong and Weak Forms for One-dimensional Problems.
4. Approximation of Trial Solutions, Weight Functions and Gauss Quadrature for One-Dimensional Problems.
5. Finite Element Formulation for One-Dimensional Problems.
6. Strong and Weak Forms for Multi-Dimensional Scalar Field Problems.
7. Approximation of Trial Solutions, Weight Functions and Gauss Quadrature for Multi-Dimensional Problems.
8. Finite Element Formulation for Multi Dimensional Scalar Field Problems.
9. Finite Element Formulation for Vector Field Problems – Linear Elasticity.
10. Finite Element Formulation for Beams.
11. Commercial Finite Element Program ABAQUS Tutorials.
Appendix.
Index.

            A first corse in finite element analysis j fisah & t belytchko

Author Information

Jacob Fish The Rosalind and John J. Redfern, Jr. ’33 Chaired Professor in Engineering Rensselaer Polytechnic Institute, Troy, NY 12180
Dr. Fish has 20 years of experience (both industry and academia) in the field of multi-scale computational engineering, which bridges the gap between modeling, simulation and design of products based on multi-scale principles. Dr. Fish has published over one hundred journal articles and book chapters. Two of his papers, one on development of multilevel solution techniques for large scale systems presented at the 1995 ASME International Computers in Engineering Conference and the second one, on fatigue crack growth in aging aircraft presented at the 1993 Structures, Structural Dynamics, and Materials Conference have won the Best Paper Awards. Dr. Fish is a recipient of 2005 USACM Computational Structural Mechanics Award given “in recognition of outstanding and sustained contributions to the broad field of Computational Structural Mechanics”. He is editor of the International Journal for Multiscale Computational Engineering.
Ted Belytschko, Department of Mechanical Engineering2145 North Sheridan Road, Northwestern University, Evanston, IL 60208-311
Ted Belytschko's main interests lie in the development of computational methods for engineering problems.  He has developed explicit finite element methods that are widely used in crashworthiness analysis and virtual prototyping.  He is also interested in engineering education, and he chaired the committee that developed the "Engineering First Program" at Northwestern.  He obtained his B.S. and Ph.D. at Illinois Institute of Technology in 1965 and 1968, respectively.  He has been at Northwestern since 1977 where he is currently Walter P. Murphy Professor and McCormick Distinguished Professor of Computational Mechanics.  He is co-author of the book NONLINEAR FINITE ELEMENTS FOR CONTINUA AND STRUCTURES with W.K.Liu and B. Moran (published by Wiley and in the third printing) and he has edited more than 10 other books.  In January 2004, he was listed as the 4th most cited researcher in engineering. He is past Chairman of the Engineering Mechanics Division of the ASCE, the Applied Mechanics Division of ASME, past President of USACM, and a member of the National Academy of Engineering (elected in 1992) and the American Academy of Arts and Sciences (elected in 2002). He is the editor of Numerical Methods in Engineering.

A first corse in finite element analysis by j fisah & t belytchko

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  This is probably the best book from which engineers can be introduced to the finite element method. The notation and techniques used are fresh and modern(for example the derivation of the weak form for elasticity problems), and the material is built up in a logical and progressive manner. The mathematics needed for someone to understand the method are introduced smoothly, without losing generality. For example the reader will be introduced to the variational techniques needed to derive the weak formulation of a problem and will understand the equivalence between the weak and strong forms. Boundary conditions are explained throughout the text and their application methods are explained since page 22. Furthermore, the user can actually learn the basics on how to program the method, by using the extra material with matlab codes and notes on the programming of the method, which are clean and well structured.