Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Nomenclature
- 1 General introduction to the finite-element method
- 2 Basic formulation for elastic deformation
- 3 Small-deformation elastic–plastic analysis
- 4 Finite-element plasticity on microcomputers
- 5 Finite-strain formulation for metalforming analysis
- 6 Implementation of the finite-strain formulation
- 7 Practical applications
- 8 Future developments
- Appendix 1 Derivation of small-strain [B] matrix for 2-D triangular element
- Appendix 2 Derivation of elastic [D] matrix
- Appendix 3 Derivation of elastic–plastic [D] matrix
- Appendix 4 Derivation of small-strain stiffness matrix [K] for plane-stress triangular element
- Appendix 5 Solution of stiffness equations by Gaussian elimination and back-substitution
- Appendix 6 Imposition of boundary conditions
- Appendix 7 Relationship between elastic moduli E, G and κ
- Appendix 8 Vectors and tensors
- Appendix 9 Stress in a deforming body
- Appendix 10 Stress rates
- Appendix 11 Listing of BASIC program for small-deformation elastic–plastic FE analysis
- Bibliography
- Index
2 - Basic formulation for elastic deformation
Published online by Cambridge University Press: 22 September 2009
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Nomenclature
- 1 General introduction to the finite-element method
- 2 Basic formulation for elastic deformation
- 3 Small-deformation elastic–plastic analysis
- 4 Finite-element plasticity on microcomputers
- 5 Finite-strain formulation for metalforming analysis
- 6 Implementation of the finite-strain formulation
- 7 Practical applications
- 8 Future developments
- Appendix 1 Derivation of small-strain [B] matrix for 2-D triangular element
- Appendix 2 Derivation of elastic [D] matrix
- Appendix 3 Derivation of elastic–plastic [D] matrix
- Appendix 4 Derivation of small-strain stiffness matrix [K] for plane-stress triangular element
- Appendix 5 Solution of stiffness equations by Gaussian elimination and back-substitution
- Appendix 6 Imposition of boundary conditions
- Appendix 7 Relationship between elastic moduli E, G and κ
- Appendix 8 Vectors and tensors
- Appendix 9 Stress in a deforming body
- Appendix 10 Stress rates
- Appendix 11 Listing of BASIC program for small-deformation elastic–plastic FE analysis
- Bibliography
- Index
- Type
- Chapter
- Information
- Finite-Element Plasticity and Metalforming Analysis , pp. 14 - 39Publisher: Cambridge University PressPrint publication year: 1991