Finite elements for solids, fluids, and optimization
Author(s)
Bibliographic Information
Finite elements for solids, fluids, and optimization
（Oxford science publications）
Oxford University Press, 1992
- : hbk
- : pbk
Available at / 9 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and indexes
Description and Table of Contents
- Volume
-
: pbk ISBN 9780198563686
Description
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.
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
- Volume
-
: hbk ISBN 9780198563693
Description
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 self-contained introduction to the theory and application of finite element methods in solid mechanics, fluid mechanics, and optimization. The author's extensive experience of the application of finite element methods gives the book a practical slant. The text is illuminated with real worked examples. Care is taken to explain and demonstrate techniques for formulating finite element approaches to problems. Programming techniques for solving the resulting FEM problems are also thoroughly covered.
Table of Contents
- Part 1 Introduction to finite elements: skeletal elements
- basic relationships for solid continua
- energy principles and applications
- Lagrange multipliers, penalty factors and basis transformation
- interpolation functions and numerical integration. Part 2 Applications to the statics of solids: plane stress and plane strain
- isoparametric mapping and its applications
- thin plate bending elements
- thick plate elements
- flat elements for shell analysis
- curved shell elements. Part 3 Nonlinear and time dependent problems and FEM programming: nonlinear materials and large displacements
- eigenvalue analysis of vibration and stability
- time stepping analysis of vibration and creep
- finite element programming. Part 4 Finite elements in fluid flow and other field problems: basic differential equations in continua
- variational and weighted residual methods
- pseudo-harmonic field problems
- potential flow, viscous flow and compressible flow
- fluid flow examples and programs. Part 5 Further applications of the finite element method: boundary solution techniques
- optimization techniques and applications
- generalization of constraint techniques and optimization programs.
by "Nielsen BookData"