Abstract
The rigid-plastic and viscoplastic finite-element techniques described in the previous chapters are useful approaches to the modelling of metal deformation when the elastic component of strain may reasonably be ignored. This is often the case, for example, for hot working conditions. In other situations, it is important to take into account the elastic as well as the plastic deformation of the material, and it is vital to do so if the unloading behaviour is to be predicted.
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References
Alexander JM, Price JWH (1977) Finite element analysis of hot metal forming. In: Alexander JM (ed) Proceedings 18th machine tool design research conference, Macmillan, pp 267–274
Hartley P, Clift SE, Salimi-Namin J, Sturgess CEN, Pillinger I (1989) The prediction of ductile fracture initiation in metalforming using a finite element model and various fracture criteria. Res Mech 28:269–293
Lee EH (1976) The basis of an elastic-plastic code. SUDAM report no 76-1, Stanford University
Marcal PV, King IP (1967) Elastic-plastic analysis of two-dimensional stress systems by the finite element method. Int J Mech Sci 9:143–155
Nagtegaal JC, de Jong JE (1980) Some computational aspects of elastic-plastic large strain analysis. In: aden JT (ed) Computational methods in nonlinear mechanics, North-Holland, pp 303–339
Nagtegaal JC, Parks DM, Rice JR (1974) On numerically accurate finite element solutions in the fully plastic range. Comp Meth Appl Mech Engng 4:153–177
Pillinger I, Hartley P, Sturgess CEN, Rowe GW (1986) A new linearized expression for strain increment for the finite-element analysis of deformations involving finite rotation. Int J Mech Sci 28:253–262
Rice JR and Tracey DM (1973) Computational fracture mechanics. In: Robinson AR, Schnobrich WC (eds) Numerical and computer methods in structural mechanics, Academic Press, pp 585–623
Rowe GW, Sturgess CEN, Hartley P and Pillinger I (1991) Finite-element plasticity and metaiforming analysis. Cambridge University Press
Tracey DM (1976) Finite element solutions for crack tip behaviour in small-scale yielding. Trans ASME J Engng Mater Technol 98:146–151
Yamada Y, Yoshimura N, Sakurai T (1968) Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method. Int J Mech Sci 10:343–354
Zienkiewicz OC, Valliappan S, King IP (1969) Elasto-plastic solutions of engineering problems “initial stress”, finite element approach. Int J Num Meth Engng 1:75–100
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© 1992 Springer-Verlag London Limited
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Pillinger, I. (1992). The Elastic-Plastic Finite-Element Method. In: Hartley, P., Pillinger, I., Sturgess, C. (eds) Numerical Modelling of Material Deformation Processes. Springer, London. https://doi.org/10.1007/978-1-4471-1745-2_9
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DOI: https://doi.org/10.1007/978-1-4471-1745-2_9
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1747-6
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