Structural Analysis with the Finite Element Method: Linear Statics

by Onate, Eugenio

• ISBN13: 9781402087424
• ISBN10: 140208742X
• Format: Hardcover
• Copyright: 2013-02-06
• Publisher: Springer Verlag

Summary

The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years.Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials.The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.

Table of Contents

Introduction to structural analysis by the Finite Element Method

1D finite elements for axially loaded rods

Advanced 1D rod elements and requirements for the numerical solution

2D solids. Linear triangular and rectangular elements

2D solids. Higher order elements. Shape functions and isoparametric formulation

Axisymmetric solids

Three dimensional solids

Bending of slender beams. Euler-Bemouilli theory

Thick/slender beams. Timoshenko theory

Thin plates. Kirchhoffs theory

Thick/thin plates. Reissner-Mindlin theory

Analysis of shells using flat elements

Axisymmetric shells

Analysis of arbitrary shape shells using degenerate solid elements

Three-dimensional rods and shell stiffness

Prismatic structures. Finite strip and finite prism methods

Miscellaneous: inclined supports, displacements, constrains, nodal condensation error estimation and mesh adaptivity etc

Pre and post-processing. Mesh generation and visualization of computer results

Introduction to FEM programming

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