复杂应力状态下Schmid因子
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摘要
针对轧制状态的镁合金板材,计算了不同取向晶粒的Schmid因子。其中,(φ_1,φ,φ_2)是利用Bunge旋转法,使晶体坐标系与外力坐标系方向一致的欧拉角。研究结果表明:在φ接近45°时,基面滑移的Schmid因子最大,柱面滑移和拉伸孪生随着欧拉角φ的增加而增加,压缩孪生随着欧拉角φ的增加而减小,锥面滑移系Schmid因子随φ的增加先减小后增加。对于基面晶粒的变形系来说,基面滑移系和(10-10)[-12-10]柱面滑移系基本不受压下量的影响,其余的变形系均随压下量的增加而减小。减小压下量可以提高镁合金轧制变形能力,为镁合金轧制变形提供了良好的理论依据。
Schmid factors of grains with different crystal orientation were calculated for magnesium alloy sheets under rolled.The results show that the Schmid factor of basal slip is largest when φ is close to 45 °,where(φ_1,φ,φ_2)is the Euler angle which makes the orientation of the crystal coordinate system consistent with that of the external force coordinate system by using Bunge rotation method.Schmid factors for Prismatic slip and extension twins increase but contraction twins decrease with increasing φ.Schmid factor of pyramidal slip decreases firstly and then increases with the increasing of φ.For the deformation system of basal plane grain,rolling reduction have little effect on basal slip and(10-10)[-12-10]prismatic slip,But the Schmid factor of other deformation systems is decrease with the increase of rolling reduction.Reducing reduction can improve rolling deformability of magnesium alloys.This paper provides theoretical guidance for the rolling deformation behavior in magnesium alloys.
Schmid factors of grains with different crystal orientation were calculated for magnesium alloy sheets under rolled.The results show that the Schmid factor of basal slip is largest when φ is close to 45 °,where(φ_1,φ,φ_2)is the Euler angle which makes the orientation of the crystal coordinate system consistent with that of the external force coordinate system by using Bunge rotation method.Schmid factors for Prismatic slip and extension twins increase but contraction twins decrease with increasing φ.Schmid factor of pyramidal slip decreases firstly and then increases with the increasing of φ.For the deformation system of basal plane grain,rolling reduction have little effect on basal slip and(10-10)[-12-10]prismatic slip,But the Schmid factor of other deformation systems is decrease with the increase of rolling reduction.Reducing reduction can improve rolling deformability of magnesium alloys.This paper provides theoretical guidance for the rolling deformation behavior in magnesium alloys.
引文
[1] BARNETT M R,KESHAVARZ Z,BEER A G,et al.Influence of grain size on the compressive deformation of wrought Mg-3Al-1Zn[J].Acta Materialia,2004,52(17):5093-5103.
[2] WANG Y N,CHANG C I,LEE C J,et al.Texture and weak grain size dependence in friction stir processed Mg-Al-Zn alloy[J].Scripta Materialia,2006,55(7):637-640.
[3] 万刚.镁合金变形组织、织构的演变规律及其动态力学行为[D].南京:南京航空航天大学,2012.
[4] 娄欢.AZ31B镁合金非对称循环变形行为与机制[D].沈阳:沈阳航空航天大学,2014.
[5] H.J.BUNGE.Texture Analysis in Material Science [M].London:Butterworths,1982.
[6] S.ZAEFFERER.A study of active deformation systems in titanium alloys:dependence on alloy composition and correlation with deformation texture[J].Materials Science and Engineering A,2003,344(1-2):20-30.
[7] 许江勤.钢材轧制应力状态系数与变形区形状参数分析[J].南昌工程学院学报,2003,22(3):59-62.
[8] 林金保,任伟杰,王心怡.镁合金织构演化晶体塑性力学模型的研究进展[J].材料导报,2016,30(1):102-105.
[9] L.WU,A.JAIN,D.W.BROWN,et al,Twinning-detwinning behavior during the strain-controlled low-cycle fatigue testing of a wrought magnesium alloy,ZK60A[J].Acta Materialia,2008,56(4):688-695.
[10] C.GUILLEMER,M.CLAVEL,G.CAILLETAUD.Cyclic behavior of extruded magnesium:Experimental,microstructure and numerical approach[J].Int.J.Plasticity,2011,27(12):2068-2084.
[11] J.KOIKE.Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature[J].Metallurgical and Materials Transaction A,2005,36(7):1689-1695.
[12] J.KOIKE,T.KOBAYASHI,T.MUKAI,et al.The activity of non-basal slip systems and dynamic recovery at room temperature in fine-grained AZ31B magnesium alloys,Acta Materialia,2003,51(7):2055-2065.
[13] J.KOIKE.Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature[J].Metallurgical and Materials Transaction A,2005,36(7):1689-1695.
[14] 康锋,程平,吴海英.镁合金中〈c+a〉锥面滑移系开动的条件[J].材料导报,2012(s1):141-145.
[15] IZADBAKHSH A,INAL K,MISHRA R K .Numerical formability assessment in single crystals of magnesium[J].Computational Materials Science,2010,50(2):0-585.
[16] NEIL,C.JOHN,S.R.AGNEW .Crystal plasticity-based forming limit prediction for non-cubic metals:Application to Mg alloy AZ31B[J].International Journal of Plasticity,2009,25(3):379-398.
[17] KOIKE J.Roles of deformation twinning and dislocation slip in the fatigue failure mechanism of AZ31 Mg alloys[J].Scripta Materialia,2010,63(7):747-775.
[2] WANG Y N,CHANG C I,LEE C J,et al.Texture and weak grain size dependence in friction stir processed Mg-Al-Zn alloy[J].Scripta Materialia,2006,55(7):637-640.
[3] 万刚.镁合金变形组织、织构的演变规律及其动态力学行为[D].南京:南京航空航天大学,2012.
[4] 娄欢.AZ31B镁合金非对称循环变形行为与机制[D].沈阳:沈阳航空航天大学,2014.
[5] H.J.BUNGE.Texture Analysis in Material Science [M].London:Butterworths,1982.
[6] S.ZAEFFERER.A study of active deformation systems in titanium alloys:dependence on alloy composition and correlation with deformation texture[J].Materials Science and Engineering A,2003,344(1-2):20-30.
[7] 许江勤.钢材轧制应力状态系数与变形区形状参数分析[J].南昌工程学院学报,2003,22(3):59-62.
[8] 林金保,任伟杰,王心怡.镁合金织构演化晶体塑性力学模型的研究进展[J].材料导报,2016,30(1):102-105.
[9] L.WU,A.JAIN,D.W.BROWN,et al,Twinning-detwinning behavior during the strain-controlled low-cycle fatigue testing of a wrought magnesium alloy,ZK60A[J].Acta Materialia,2008,56(4):688-695.
[10] C.GUILLEMER,M.CLAVEL,G.CAILLETAUD.Cyclic behavior of extruded magnesium:Experimental,microstructure and numerical approach[J].Int.J.Plasticity,2011,27(12):2068-2084.
[11] J.KOIKE.Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature[J].Metallurgical and Materials Transaction A,2005,36(7):1689-1695.
[12] J.KOIKE,T.KOBAYASHI,T.MUKAI,et al.The activity of non-basal slip systems and dynamic recovery at room temperature in fine-grained AZ31B magnesium alloys,Acta Materialia,2003,51(7):2055-2065.
[13] J.KOIKE.Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature[J].Metallurgical and Materials Transaction A,2005,36(7):1689-1695.
[14] 康锋,程平,吴海英.镁合金中〈c+a〉锥面滑移系开动的条件[J].材料导报,2012(s1):141-145.
[15] IZADBAKHSH A,INAL K,MISHRA R K .Numerical formability assessment in single crystals of magnesium[J].Computational Materials Science,2010,50(2):0-585.
[16] NEIL,C.JOHN,S.R.AGNEW .Crystal plasticity-based forming limit prediction for non-cubic metals:Application to Mg alloy AZ31B[J].International Journal of Plasticity,2009,25(3):379-398.
[17] KOIKE J.Roles of deformation twinning and dislocation slip in the fatigue failure mechanism of AZ31 Mg alloys[J].Scripta Materialia,2010,63(7):747-775.