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Wu, S.H.; Pires, F.M. Andrade; Santos, Abel D.; Rocha, A. Barata da;

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Titanium alloys have widespread applications in defense and aerospace industries owing to its high performance mechanical properties, particularly its high strength to weight ratio[1, 2, and 5]. Due to their Hexagonal closed packed (HCP) crystallographic structure; they have anisotropic properties and high strength differential (SD) effects in tension and compression during deformation[3, 4]. In practical applications, titanium alloys might be subject to complex loading conditions, which may include the presence of various strain rates. Therefore, in order to study their visco-plastic mechanical behavior, the present contribution proposes an elastic-viscoplastic model for HCP materials by extending the Cazacu yield criteria with the widely used visco-plastic formulation proposed by Perzyna[9]. The new model is implemented in an implicit quasi-static finite element framework with a fully implicit integration scheme. The stress integration algorithm employs the closest point projection method (CPPM) combined with the line search method. Two benchmark tests are performed to study the material mechanical behavior of the Ti-6Al-4V alloy at various strain rates. The stability and accuracy of this model is analyzed.

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Palavras-chave: HCP materials, Cazacu model, constitutive modeling, Perzyna model,


DOI: 10.5151/meceng-wccm2012-18093

Referências bibliográficas
  • [1] Michael E. Nixon, Oana Cazacu, Ricardo A. Lebensohn. Anisotropic response of highpurity a-titanium: Experimental characterization and constitutive modeling. International Journal of Plasticity 26 (2010) 516–532.
  • [2] A. Rusinek, R. Zaera, J.R. Klepaczko. Constitutive relations in 3-D for a wide range of strain rates and temperatures-application to mild steels. International Journal of Solids and Structures Volume 44, Issue 17, 15 August 2007, Pages 5611-5634.
  • [3] Oana Cazacu, Frcdcric Barlat. A criterion for description of anisotropy and yield differential effects in pressure insensitive metals. International Jounal of Plasticity 20 (2004) 2027-2045.
  • [4] Serkan Ertürk. Thermo-mechanical modeling and simulation of magnesium alloys during extrusion process. Gkss Forschungszentrum Geesthacht GMBH. 2009
  • [5] Michael E. Nixon. Experimental characterization and modeling of the mechanical response of titanium for quasi-static and high strain rate loads. University of Florida, Ph.D thesis. 2008
  • [6] Lutjering, G., Williams, J. C., 2003. Titanium. Springer, Berlin.
  • [7] Khan, A. S., A. Pandey, et al. (2011). Mechanical response and texture evolution of AZ31 alloy at large strains for different strain rates and temperatures. International Journal of Plasticity 27(5): 688-706.
  • [8] Jiang, L., J. J. Jonas, et al. (2007). Twinning and texture development in two Mg alloys subjected to loading along three different strain paths. Acta Materialia 55(11): 3899-3910.
  • [9] Plunkett, B., O. Cazacu, et al. (2008). Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals. International Journal of Plasticity 24(5): 847-866.
  • [10] Otto M.Heeres, Akke S.J.Suiker, Rene de Borst. A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. European Journal of Mechanics 21 (2002) 1-12
  • [11] de Souza Neto, E. A. (2004). A simple robust numerical integration algorithm for a power-law visco-plastic model under both high and low rate-sensitivity. Communications in Numerical Methods in Engineering 20(1): 1-17.
  • [12] EA de Souza Neto, D Peric, and DRJ Owen. Computational methods for plasticity theory and applications. John Wiley Andamp; Sons Ltd, 2008.
Como citar:

Wu, S.H.; Pires, F.M. Andrade; Santos, Abel D.; Rocha, A. Barata da; "AN ELASTO-VISCOPLASTIC MODEL FOR HEXAGONAL CLOSED PACKED MATERIALS: FORMULATION AND NUMERICAL IMPLEMENTATION", p. 702-714 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18093

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