PRIMER FOR FINITE ELEMENTS IN ELASTIC STRUCTURES
Ouvrage 0-471-28345-2 : PRIMER FOR FINITE ELEMENTS IN ELASTIC STRUCTURES
A thorough guide to the fundamentals_and how to use
them_of finite element analysis for
elastic structures
For elastic structures, the finite element method
is an invaluable tool which is used most
effectively only when one understands completely
each of its facets. A Primer for Finite Elements
in Elastic Structures disassembles the entire
finite element method for civil engineering students
and professionals, detailing its supportive theory
and its mathematical and structural
underpinnings, in the context of elastic structures
and the principle of virtual work.
The book opens with a discussion of matrix algebra
and algebraic equation systems to foster the
basic skills required to successfully understand
and use the finite element method. Key
mathematical concepts outlined here are joined to
pertinent concepts from mechanics and
structural theory, with the method constructed in
terms of one-dimensional truss and framework
finite elements. The use of these one-dimensional
elements in the early chapters promotes better
understanding of the fundamentals. Subsequent
chapters describe many two-dimensional
structural finite elements in depth, including the
geometry, mechanics, transformations, and
mapping needed for them.
Most chapters end with questions and problems which
review the text material. Answers for many
of these are at the end of the book. An appendix
describes how to use MATLABr, a popular
matrix-manipulation software platform necessary to
perform the many matrix operations required
for the finite element method, such as matrix
addition, multiplication, inversion, partitioning,
rearrangement, and assembly. As an added extra, the
m-files discussed can be downloaded from
the Wiley FTP server.
W. F. Carroll is Professor Emeritus in the
Department of Civil and Environmental Engineering at
the University of Central Florida.
Table of Contents
Finite Element Method Prerequisites.
The Finite Element Method.
Element Stiffness Equations by Direct Methods.
Global Stiffness Equations.
Element Stiffness Equations by Displaced State
Virtual Work Applications.
General Approach to Element Stiffness Equations.
Plane Stress and Plane Strain.
Plane Stress Structural Triangular Finite Elements.
Isoparametric Plane Stress Structural Quadrilateral
Finite Elements.
Flat Plate Flexural Finite Elements.
Axisymmetric Structural Finite Elements.
Structural Finite Elements in Perspective.
Appendix.
Answers to Selected Problems.
Index.
Auteur : CARROLL
Editeur : JOHN WILEY
Nombre de pages : 495
Date de publication : 01 1998
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