Engineering Transactions, 62, 3, pp. 221–240, 2014
10.24423/engtrans.267.2014

The Identification Procedure for the Constitutive Model of Elasto-Viscoplasticity Describing the Behaviour of Nanocrystalline Titanium

Zdzisław NOWAK
Department of Mechanics of Materials, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw
Poland

Piotr PERZYNA
Department of Mechanics of Materials, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw
Poland

The main objective of the present paper is the description of the behaviour of the ultrafine-grained (UFG) titanium by the constitutive model of elasto-viscoplasticity with the development of the identification procedure. We intend to utilize the constitutive model of the thermodynamical theory of elasto-viscoplasticity for description of nanocrystalline metals presented by Perzyna (2010) [1]. The identification procedure is based on experimental observation data obtained by Jia et al. (2001) [13] for ultrafine-grained titanium and by Wang et al. (2007) [17] for nanostructured titanium. Hexagonal close-packed (hcp) ultrafine-grained titanium processed by sever plastic deformation (SPD) has gained wide interest due to its excellent mechanical properties and potential applications as biomedical implants.
Keywords: elasto-viscoplasticity; nanocrystalline titanium; uniaxial compression
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

Asaro R.J., Krysl P., Kad B., Deformation mechanism transitions in nanoscale fcc metals, Philosophical Magazine Letters, 83, 733–743, 2003.

Asaro R.J., Needelman A., Overview no. 42. Texture development and strain hardening in rate dependent polycrystals, Acta Metallurgica, 33, 6, 923–953, 1985.

Chen M., Ma E., Henker K., Mechanical behavior of nanocrystalline metals, [in:] Nanomaterials handbook, Y. Gogotsi [Ed.], CRC Press Taylor and Francis Group, pp. 497–529, 2006.

Christian J.W., Mahajan S., Deformation twinning, Progress in Material Sci., 39, 1–158, 1995.

Dornowski W., Perzyna P., Constitutive modelling of inelastic solids for plastic flow processes under cyclic dynamic loadings, Transaction of the ASME, J. Eng. Materials and Technology, 121, 210–220, 1999.

Dornowski W., Perzyna P., Localization phenomena in thermo-viscoplastic flow processes under cyclic dynamic loadings, Computer Assisted Mechanics and Engineering Sciences, 7, 117–160, 2000.

Dornowski W., Perzyna P., Numerical analysis of macrocrack propagation along a bimaterial interface under dynamic loading processes, Int. J. Solids and Structures, 39, 4949–4977, 2002.

Dornowski W., Perzyna P., Numerical investigation of localized fracture phenomena in inelastic solids, Foundation of Civil and Environmental Engineering, 7, 79–116, 2006.

El-Danaf E., Kalidindi S.R., Doherty R.D., Influence of grain size and stacking-fault energy on deformation twinning in fcc metals, Metall and Mater Trans. A, 30, 1223–33, 1999.

Gurao N.P., Kapoor R., Suwas S., Deformation behaviour of commercially pure titanium at extreme strain rates, Acta Materialia, 59, 3431–3446, 2011.

Jia D., Wang Y.M., Ramesh K.T., Ma E., Zhu Y.T., Valiev R.Z., Deformation behavior and plastic instabilities of ultrafine-grain titanium, Applied Physics Letters, 79, 611–613, 2001.

Kumar K.S., Van Swygenhoven H., Suresh S., Mechanical behavior of nanocrystalline metals and alloys, Acta Mater., 51, 5743–5774, 2003.

Meyers M.A., Mishra A., Benson D.J., Mechanical properties of nanocrystalline materials, Progress in Materials Science, 51, 427–556, 2006.

Nemat-Nasser S., Guo W.G., Cheng J.Y., Mechanical response and deformation mechanisms of a commercially pure titanium, Acta Mater., 47, 3705–3720, 1999.

Nowak Z., Perzyna P., The Identification Procedure for the Constitutive Model of Elasto-Viscoplasticity Describing the Behaviour of Nanocrystalline Iron During Quasistatic and Dynamic Loading Processes, [in:] Mathematical Methods in Continuum Mechanics, K. Wilmański, B. Michalak, J. Jędrysiak [Eds.], A series of Monographs, Technical University of Lodz, pp. 63–88, 2011.

Perzyna P., Thermodynamic theory of viscoplasticity, Adv. Applied Mechanics, 11, 313–354, 1971.

Perzyna P., Constitutive modelling of dissipative solids for postcritical behaviour and fracture, ASME J. Eng. Materials and Technology, 106, 410–419, 1984.

Perzyna P., The thermodynamic theory of elasto-viscoplasticity, Engng. Trans., 53, 3, 235–316, 2005.

Perzyna P., The thermodynamical theory of elasto-viscoplasticity, Engineering Transactions, 53, 235–316, 2005.

Perzyna P., The thermodynamical theory of elasto-viscoplasticity accounting for microshear banding and induced anisotropy effects, Mechanics, 27, 25–42, 2008.

Perzyna P., The thermodynamical theory of elasto-viscoplasticity for description of nanocrystalline metals, Engng. Trans., 58, 1–2, 15–74, 2010.

Pęcherski R.B., Macroscopic effects of microshear banding in plasticity of metals, Acta Mechanica, 131, 203–224, 1998.

Pęcherski R.B., Continuum mechanics description of plastic flow produced by microshear bands, Technische Mechanic, 18, 107–115, 1998.

Salem Ayman A., Kalidindi Surya R., Doherty Roger D., Strain hardening of titanium: role of deformation twinning, Acta Materialia, 51, 4225–4237, 2003.

Wang Y.M., Huang J.Y., Jiao T., Zhu Y.T., Hamza A.V., Abnormal strain hardening in nanostructered titanium at high strain rates and large strains, J. Mater. Sci., 42, 1751–1756, 2007.

Wang Y.M., Ma E., Strain hardening, strain sensitivity, and ductility of nanostructured metals, Materials Science and Engineering, A375–377, 46–52, 2004.

Wang Y.M., Ma E., Three strategies to achieve uniform tensile deformation in nanostructured metal, Acta Materialia, 52, 1699–1709, 2004.




DOI: 10.24423/engtrans.267.2014