A constitutive model for hcp materials deforming by slip and twinning

Staroselsky, Alexander; Anand, Lallit

doi:10.1016/s0749-6419(03)00039-1

Cited by 516 publications

(246 citation statements)

References 18 publications

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“…It closely follows the work of Staroselsky and Anand (Staroselsky, 1998;Staroselsky and Anand, 2003). For completeness, we provide a summary of its formulation and highlight the novelties of this new model.…”

Section: Constitutive Frameworkmentioning

confidence: 78%

“…Assuming a linear elastic relation, as it is usually done in metallic single crystals, the constitutive equation is given by Staroselsky and Anand (2003):…”

Section: Crystal Plasticity Continuum Formulationmentioning

confidence: 99%

“…However, comparatively little computational work has been oriented towards the simulation of the micromechanisms underlying the deformation of these metals. Among them, the model developed by Staroselsky and Anand [Staroselsky, A., Anand, L., 2003. A constitutive model for HCP materials deforming by slip and twinning: application to magnesium alloy AZ31B.…”

Section: Introductionmentioning

confidence: 99%

“…If fcc and bcc crystal plasticity continuum models have already been extensively studied (Cuitiño and Ortiz, 1993;Anand and Kothari, 1996;Anand, 2004;Houtte et al, 2006;Zhao et al, 2007;Kuchnicki et al, 2008;Jérusalem et al, 2008;Roters et al, 2010;Lee et al, 2010;Liu et al, 2011;Thamburaja, 2010;Rossiter et al, 2010;Zamiri and Pourboghrat, 2010;Watanabe et al, 2010;Sung et al, 2010), similar efforts have been much scarcer for HCP metals (Staroselsky, 1998;Staroselsky and Anand, 2003;Graff et al, 2007;Mayeur and McDowell, 2007;Tang et al, 2009;Mayama et al, 2009;Prakash et al, 2009;Choi et al, 2010b;Choi et al, 2010a;Lévesque et al, 2010). Despite the relatively ancient interests in HCP metals, the intrinsic mechanisms of HCP crystalline deformation, such as twinning (generally more present than in fcc and bcc metals), twin-slip interaction, or twin polarization among others, are still, as of now, not fully understood (Jérusalem et al, 2008;Wang et al, 2009a;Yue et al, 2010;Shen et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

“…Despite the relatively ancient interests in HCP metals, the intrinsic mechanisms of HCP crystalline deformation, such as twinning (generally more present than in fcc and bcc metals), twin-slip interaction, or twin polarization among others, are still, as of now, not fully understood (Jérusalem et al, 2008;Wang et al, 2009a;Yue et al, 2010;Shen et al, 2010). Among these efforts, Staroselsky and Anand (Staroselsky, 1998;Staroselsky and Anand, 2003) developed a non-hardening rate-independent model of Magnesium alloy AZ31 aimed at reproducing the experimental behavior of tension and compression tests. Graff et al presented a crystallographic model of Mg but without taking into account the reorientation of the twinned volume .…”

Section: Introductionmentioning

confidence: 99%

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Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation

Fernández

Prado

Wei

et al. 2011

International Journal of Plasticity

103

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a b s t r a c tLightweight magnesium alloys, such as AZ31, constitute alternative materials of interest for many industrial sectors such as the transport industry. For instance, reducing vehicle weight and thus fuel consumption can actively benefit the global efforts of the current environmental industry policies. To this end, several research groups are focusing their experimental efforts on the development of advanced Mg alloys. However, comparatively little computational work has been oriented towards the simulation of the micromechanisms underlying the deformation of these metals. Among them, the model developed by Staroselsky and Anand [Staroselsky, A., Anand, L., 2003. A constitutive model for HCP materials deforming by slip and twinning: application to magnesium alloy AZ31B. International Journal of Plasticity 19 (10), 1843-1864] successfully captured some of the intrinsic features of deformation in Magnesium alloys. Nevertheless, some deformation micromechanisms, such as cross-hardening between slip and twin systems, have been either simplified or disregarded. In this work, we propose the development of a crystal plasticity continuum model aimed at fully describing the intrinsic deformation mechanisms between slip and twin systems. In order to calibrate and validate the proposed model, an experimental campaign consisting of a set of quasi-static compression tests at room temperature along the rolling and normal directions of a polycrystalline AZ31 rolled sheet, as well as an analysis of the crystallographic texture at different stages of deformation, has been carried out. The model is then exploited by investigating stress and strain fields, texture evolution, and slip and twin activities during deformation. The flexibility of the overall model is ultimately demonstrated by casting light on an experimental controversy on the role of the pyramidal slip hc + ai versus compression twinning in the late stage of polycrystalline deformation, and a failure criterion related to basal slip activity is proposed.

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Section: Constitutive Frameworkmentioning

confidence: 78%

“…Assuming a linear elastic relation, as it is usually done in metallic single crystals, the constitutive equation is given by Staroselsky and Anand (2003):…”

Section: Crystal Plasticity Continuum Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%