| Titre : | Finite elements of solids fluids and optimization |
| Auteurs : | G. A. Mohr |
| Type de document : | texte imprimé |
| Editeur : | Oxford : O.U.P, 1992 |
| Collection : | Oxford science publications |
| ISBN/ISSN/EAN : | 978-0-19-856368-6 |
| Format : | 1 vol. (604 p.) / 23 cm |
| Langues originales: | |
| Index. décimale : | 510 (Mathématique) |
| Catégories : | |
| Mots-clés: | Elément fini Solide Fluide Optimisation |
| Résumé : |
The finite element method is a numerical procedure for solving ordinary and partial differential equations which arise in engineering and mathematical physics. This is a complete self-contained introduction to the theory and applications of finite element methods in solid mechanics, fluid mechanics, and optimization.
The authors' extensive experience of the application of finite element methods gives the book a practical slant. Worked examples are scattered throughout the text. Care is taken to explain and demonstrate techniques for formatting finite element apparatus to problems. Programming techniques for solving the resulting FEM problems are also thoroughly covered. The book also contains 14 MegaBasic programs, ranging from very short introductory programs to more general programs for analysis and optimization of plane stress, plates, and shells, and fluid flows. |
| Note de contenu : |
Table of Contents
PART I: INTRODUCTION TO FINITE ELEMENTS 1:Skeletal elements 2:Basic relationships for solid continua 3:Energy principles and applications 4:Lagrange multipliers, penalty factors and basis transformation 5:Interpolation functions and numerical integration PART II: APPLICATIONS TO THE STATICS OF SOLIDS 6:Plane stress and plane strain 7:Isoparametric mapping and its applications 8:Thin plate bending elements 9:Thick plate elements 10:Flat elements for shell analysis 11:Curved shell elements PART III: NONLINEAR AND TIME DEPENDENT PROBLEMS AND FEM PROGRAMMING 12:Nonlinear materials and large displacements 13:Eigenvalue analysis of vibration and stability 14:Time stepping analysis of vibration and creep 15:Finite element programming PART IV: FINITE ELEMENTS IN FLUID FLOW AND OTHER FIELD PROBLEMS 16:Basic differential equations in continua 17:Variational and weighted residual methods 18:Pseudo harmonic field problems 19:Potential flow, viscous flow and compressible flow 20:Fluid flow examples and programs PART V: FURTHER APPLICATIONS OF THE FINITE ELEMENT METHOD 21:Boundary solution techniques 22:Optimization techniques and applications 23:Generalization of constraint techniques and optimization programs Appendices Glossary of symbols Author index Subject index |
| Côte titre : |
S8/45951-45952 |
Exemplaires (2)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/45951 | Livre | Bibliothèque centrale | Disponible |
| S8/45952 | Livre | Bibliothèque centrale | Disponible |
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