Structural analysis with the finite element method: linear statics v. 1 The basis and solids

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). Volume 1 presents the basis of the FEM for structural analysis anda 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. A clear description of the theoretical and computational aspects of the FEM for structural analysis link to a web page with multimedia presentations of the chapter Many examples and exercises solved with computer programs INDICE: From the contents 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 supports, displacements, constrains, nodal condensation error estimation and mesh adaptivity etc. 18. Pre and post-processing.

• ISBN: 978-1-4020-8732-5
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 450
• Fecha Publicación: 01/01/2009
• Nº Volúmenes: 1
• Idioma: Inglés