# Structural analysis with the finite element method linear statics. Volume 1: The basis & solids, 2009Volume 1: Basis and SolidsLecture Notes on Numerical Methods in Engineering and Sciences Series

## Author: Oñate Eugenio

Language: Anglais ## Subject for Structural analysis with the finite element method...:

### Keywords

Structural analysis with the finite element method linear statics
Publication date:
· 16x24 cm · Paperback

Structural analysis with the finite element method linear statics. Volume 1: The basis & solids
Publication date:
450 p. · Hardback

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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 1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. 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. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results. The book will be useful for students approaching the finite element analysis of 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.
1. Introduction to structural analysis by the Finite Element Method. 2. 1D finite elements for axially loaded rods. 3. Advanced 1D rod elements and requirements for the numerical solution. 4. 2D solids. Linear triangular and rectangular elements. 5. 2D solids. Higher order elements. Shape functions and isoparametric formulation. 6. Axisymmetric solids. 7. Three dimensional solids. 8. Bending of slender beams. Euler-Bemouilli theory. 9. Thick/slender beams. Timoshenko theory. 10. Thin plates. Kirchhoffs theory. 11. Thick/thin plates. Reissner-Mindlin theory. 12. Analysis of shells using flat elements. 13. Axisymmetric shells. 14. Analysis of arbitrary shape shells using degenerate solid elements. 15. Three-dimensional rods and shell stiffness. 16. Prismatic structures. Finite strip and finite prism methods. 17. Miscellaneous: inclined support. displacement. constrain. nodal condensation error estimation and mesh adaptivity etc. 18. Pre and post-processing. Mesh generation and visualization of computer results. 19. Introduction to FEM programming.
From the reviews:'This work, which emphasizes FEA fundamentals and its application in linear structural problems, is the exact book for this audience. ... The concise summary presented in the 'concluding remarks' section in each chapter is very helpful and valuable. ... Summing Up: Highly recommended. Academic, two-year technical, and professional readers, all levels.' (X. Le, Choice, Vol. 47 (8), April, 2010)'This two-volume book presents the results of the author's experience in teaching and research on the finite element method (FEM). The content of the book develops the theory and practical implementation of the FEM for application to linear structural problems. In the first volume, the FEM is described to solve linear elastic problems for solids. ... The style of presentation allows the reader to fully comprehend the fundamental steps in a finite element solution process.' (Ján Sládek, Zentralblatt MATH, Vol. 1168, 2009)