Abstract
In the previous chapter, we studied rate-independent plasticity. In this chapter, we present constitutive equations and computational algorithms for rate-dependent plasticity or viscoplasticity. The theory allows the modeling of material behavior presenting two features: a permanent (irreversible) deformation and a sensitivity of the stress-strain response to the rate of straining (Fig. 13.1). Visco-plasticity or creep in metals becomes important when the absolute temperature exceeds one third of the absolute melting temperature.
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Further reading
Ashby, M.F., D.R.H. Jones (1986), Engineering Materials 2: An introduction to microstructures, processing and design, Pergamon Press, Oxford.
Hertzberg, R.W. (1989), Deformation and fracture mechanics of engineering materials, 3rd edition, Wiley, New York.
François, D., A. Pineau, A. Zaoui (1993), Comportement mécanique des matériaux. Viscoplasticité, endommagement, mécanique de la rupture, mécanique du contact, Hermès, Paris.
Doghri, I., S. Jansson, F.A. Leckie, J. Lemaitre (1994), “Optimization of coating layers in the design of ceramic fiber reinforced metal matrix composites”, Journal of Composite Materials, 28/2, 167–187.
Valanis, K.C. (1971), Arch. Mech., 23, 517.
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Doghri, I. (2000). Elasto-viscoplasticity. In: Mechanics of Deformable Solids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04168-0_13
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DOI: https://doi.org/10.1007/978-3-662-04168-0_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08629-8
Online ISBN: 978-3-662-04168-0
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