Finite Elements for Solids, Fluids, and Optimization

MOHR (Autor)

Buch | Softcover

620 Seiten

1992
Oxford University Press (Verlag)
978-0-19-856368-6 (ISBN)

Artikel merken

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.

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

Erscheint lt. Verlag	5.11.1992
Zusatzinfo	numerous line drawings, tables
Verlagsort	Oxford
Sprache	englisch
Maße	157 x 231 mm
Gewicht	918 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Maschinenbau
ISBN-10	0-19-856368-X / 019856368X
ISBN-13	978-0-19-856368-6 / 9780198563686
Zustand	Neuware