Influence of twinning deformation and lattice rotation on strength differential effect in polycrystalline pure magnesium with rolling texture

Mayama, Tsuyoshi; Aizawa, Kazuya; Tadano, Yuichi; Kuroda, Mitsutoshi

doi:10.1016/j.commatsci.2009.09.009

Cited by 64 publications

(31 citation statements)

References 32 publications

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“…The crystal-plasticity model employed in this study follows the formulations developed in the literature (Graff et al, 2007;Mayama et al, 2009;Pierce et al, 1983;Asaro and Needleman, 1985). We assume that the velocity gradient L consists of elastic and plastic parts, respectively denoted L e and L p , in the form…”

Section: Constitutive Formulation For Rate-dependent Crystal-plasticimentioning

confidence: 99%

“…Recently, the deformation of hcp metals including Mg alloys have been studied using either finite-element methods (Staroselsky and Anand, 2003;Graff et al, 2007;Prakash et al, 2009;Tang et al, 2009;Mayama et al, 2009), self-consistent models (Choi et al, 2009;Proust et al, 2009;Clausen et al, 2008;Agnew and Duygulu, 2005;Turner and Tomé, 1994;Lebensohn and Tomé, 1993), a Taylor model (Lévesque et al, 2010;Wu et al, 2007;Salem et al, 2005;Styczynski et al, 2004), or a combination of approaches (Walde and Riedel, 2007). These studies showed that the stress-strain response and texture evolution of Mg alloys can be reasonably predicted at least for monotonic deformation.…”

Section: Introductionmentioning

confidence: 97%

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Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet

Hama

Takuda

2011

International Journal of Plasticity

135

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a b s t r a c tA crystal-plasticity finite-element analysis of the loading-unloading process under uniaxial tension of a rolled magnesium alloy sheet was carried out, and the mechanism of the inelastic response during unloading was examined, focusing on the effects of basal and nonbasal slip systems. The prismatic and basal slip systems were mainly activated during loading, but the activation of the prismatic slip systems was more dominant. Thus the overall stress level during loading was determined primarily by the prismatic slip systems. The prismatic slip systems were hardly activated during unloading because the stress level was of course lower than that during loading. On the other hand, because the strength of the basal slip systems was much lower than that of the prismatic slip systems, the basal slip systems would be easily activated under the stress level during unloading in the opposite direction when their Schmid's resolved shear stresses changed signs because of the inhomogeneity of the material. These results indicated that one explanation for the inelastic behavior during unloading was that the basal slip systems were primarily activated owing to their low strengths compared to that of the prismatic slip systems. Numerical tests using the sheets with random orientations and with the more pronounced texture were conducted to further examine the mechanism.

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Section: Constitutive Formulation For Rate-dependent Crystal-plasticimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet

Hama

Takuda

2011

International Journal of Plasticity

135

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“…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%

“…Mayeur and McDowell developed a HCP model for Ti-6Al-4V alloy, in which twinning is less likely to occur (Mayeur and McDowell, 2007). Tang et al proposed a crystal plasticity model aimed at simulating cup drawing of Mg alloy AZ31 (Tang et al, 2009) and Mayama et al studied the effect of twinning deformation and rotation in a crystal plasticity model on pure Mg deformation (Mayama et al, 2009). Prakash et al modeled the evolution of texture of AZ31 alloy but without differentiating between the different cross-hardening mechanisms (Prakash et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

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

102

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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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“…Different from BCC and FCC metals which deforms plastically by slip, plastic deformation for metals with a HCP crystal structure is caused by both slip and twining. Recently, Mayama et al [40] numerically investigated the micromechanism of the SD effect in polycrystalline pure magnesium with rolling texture by a rate-dependent crystal plasticity model. Actual SD effect observed for HCP metals might be much complicated and possibly a combined consequence of directional twinning and texture behavior.…”

Section: Application To Sheet Metals With Strong Sd Effectmentioning

confidence: 99%

Consideration of strength differential effect in sheet metals with symmetric yield functions

Lou

Huh

Yoon

2013

International Journal of Mechanical Sciences

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Influence of twinning deformation and lattice rotation on strength differential effect in polycrystalline pure magnesium with rolling texture

Cited by 64 publications

References 32 publications

Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet

Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet

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

Consideration of strength differential effect in sheet metals with symmetric yield functions

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