Summary
The paper contains the brief presentation of a continuous model of large plastic deformations of two-component metallic alloys. Constitutive relations are formulated on the microscopic level. The transition from this level to the macroscopic continuous model is performed in two steps: averaging over crystallographic directions of individual phases and volume averaging (rule of mixture!) of phases. The model is based on the assumption that phase boundaries are incoherent.
A new description of the process of texture formation is proposed (eqn. (24)). The evolution equation for back-stresses (42) is modified to account for inconsistency of strain rates of different phases.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Asaro, R.J., Needleman, A., “Texture Development and Strain Hardening in Rate Dependent Polycrystals”, Acta metall., vol.33, pp. 923–953, 1985.
Canova, G.R., Kocks, U.F., Jonas, J.J., “Theory of Torsion Texture Development”, Acta metall., vol.32, pp. 211–226, 1984.
Dawson, P.R., “On Modeling of Mechanical Property Changes During Flat Rolling of Aluminium”, Int.J.Solids Struct., vol. 23, pp.947–968, 1987.
Mathur, K.K., Dawson, P.R., “On Modeling the Development of Crystallographic Texture in Bulk Forming Processes”, Int.J.of Plasticity, vol.5, pp. 67–94, 1989.
Cook, J., “The Elastic Constants of an Isotropic Matrix Reinforced with Imperfectly Oriented Fibers”, Brit.J.Appl.Phys., vol.1, ser.2, pp. 799–812, 1968.
Шермегор, Т.А., “Теория упругости микронеоднородных сРеА”, Наука, Москва, 1977.
Kocks, U.F., Argon, A.S., Ashby, M.F., “Thermodynamics and Kinetics of Slip”, in: Chalmers, B., Christian, J.W., Massalski, T.B. (eds.), Progress in Materials Science, vol.19, Pergamon Press, Oxford, 1975.
Estrin, J., “Stoffgesetze der plastischen Verformung und Instabilitäten des plastischen Fließens”, VDI-Forschungsheft 642/87, VDI Verlag, 1987.
Asaro, R.J., “Crtystal Plasticity”, J.Appl.Mech., vol 50, pp. 921–934, 1983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Wilmanski, K. (1991). Large Elasto-Plastic Deformation of Two-Phase Alloys — Structural Continuous Model. In: Axelrad, D.R., Muschik, W. (eds) Recent Developments in Micromechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84332-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-84332-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84334-1
Online ISBN: 978-3-642-84332-7
eBook Packages: Springer Book Archive