Finite Elements for Solids, Fluids, and Optimization

• 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

'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