Finite Elements for Solids, Fluids, and Optimization (Oxford Science Publications) - Brossura

Mohr, G. A.

Brossura

ISBN 10: 019856368X ISBN 13: 9780198563686

Casa editrice: Oxford University Press, USA, 1992

Riassunto

The finite element method is a numerical procedure for solving the ordinary and partial differential equations that arise in engineering and mathematical physics. This lucidly written book is an introduction to the theory and application 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. 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. This eminently practical book is complete and self-contained both in terms of coverage of theory exposition and practical methodology.

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Recensione

'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 to a four year undergraduate enginerring course.'Richard laurence, Aslib Book Guide d

Contenuti

• 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

Dettagli dell?edizione

• Editore: Oxford University Press, USA
• Data di pubblicazione: 1992
• ISBN 10: 019856368X
• ISBN 13: 9780198563686
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 620