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Finite elements for solids, fluids, and optimization

Author: G A Mohr
Publisher: Oxford [England] ; New York : Oxford University Press, 1992.
Series: Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: G A Mohr
ISBN: 0198563698 9780198563693 019856368X 9780198563686
OCLC Number: 25508619
Description: xvi, 604 pages : illustrations ; 24 cm.
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
Series Title: Oxford science publications.
Responsibility: G.A. Mohr.
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'A self-contained textbook which ... introduces the basic theories of solid and fluid mechanics and proceeds to numerical methods and optimization techniques ... The whole is regarded as appropriate Read more...

 
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