多晶材料薄壁圆管扭转变形的应力分析
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摘要
基于晶体塑性本构关系,编制材料子程序,建立薄壁圆管的多晶集合体模型,研究其扭转变形时宏观响应和细观力学行为,进行了圆管内各晶粒等效应力的统计分析。结果表明:该多晶体圆管模型具有丰富的描述能力;多晶圆管扭转大变形时轴向变形较为显著;圆管内各晶粒内等效应力在统计上具有正态分布的特点。
Based on crystal plasticity constitutive law, a material subroutine(UMAT) was compiled and the polycrystalline aggregates model of thin walled tubes were built, and then the macroscopic response and micromechanics of the thin-walled tubes was researched under torsion deformation. The statistics analyses for the equivalent stress in the grains of tubes were performed. The results show that the polycrystalline thin-walled tube model has good descriptive ability; the axial deformation is obvious when the torsion angular is larger; the equivalent stress in the grains of tube has the statistical feature of normal distribution.
Based on crystal plasticity constitutive law, a material subroutine(UMAT) was compiled and the polycrystalline aggregates model of thin walled tubes were built, and then the macroscopic response and micromechanics of the thin-walled tubes was researched under torsion deformation. The statistics analyses for the equivalent stress in the grains of tubes were performed. The results show that the polycrystalline thin-walled tube model has good descriptive ability; the axial deformation is obvious when the torsion angular is larger; the equivalent stress in the grains of tube has the statistical feature of normal distribution.
引文
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[9]Sarma G,Zacharia T.Integration algorithm for modeling the elasto-viscoplastic response of polycrystalline materials[J].Journal of the Mechanics and Physics of Solids,1999,47:1219-1238
[10]Zhang K S,Wu M S,Feng R.Simulation of microplasticity-induced deformation in uniaxially strained ceramics by 3-D Voronoi polycrystal modeling[J].International Journal of Plasticity,2005,21(4):801-834.
[11]Wu P D,Neale K W,Giessen E V D.Simulation of the behaviour of FCC polycrystals during reversed torsion[J].Int.J.of Plasticity,1996,12:1199-1219.
[12]Qian Z F,Wui H C.A 2-D texture study based on a double-slip model of polycrystal plasticity with analysis of thin-walled tubes under torsion[J].Int.J.Sol.&Structures,1996,33:4167-4193.
[13]刘胜伟,石宝东.基于晶体塑性理论镁合金塑性变形行为研究概述[J].功能材料,2018,49(10):89-93.
[14]Zhao Man.Effect of crystallographic orientation on the hardness of polycrystalline materials AA7075[J].Journal of Mechanical Engineering Science,2019,233:3182-3192.
[15]Rovinelli A.Assessing the reliability of fast Fourier transform-based crystal plasticity simulations of a polycrystalline material near a crack tip[J].International Journal of Solids and Structures,2019,89:78-86.
[2]Hill R,Rice J R,Constitutive analysis of elastic-plastic crystal at arbitrary strain[J].J.Mech.Phys.Solid,1972,20:401-413.
[3]Hutchinson J W.Bounds and self-consistent estimates for creep of p olycrystalline materials[J].Proc.R.Soc.Lond.,1976,A348:101-127
[4]Asaro R J.Crystal plasticity analysis of earing in deep-drawn OFHC copper cups[J].J of Applied Mechanics,1983,50:924-934
[5]Peirce D,Asaro R J,Needleman A.Material rate dependence and localized deformation in crystalline solids[J].Acta Metallurgica,1983,31:1951-1976
[6]Maniatty A M,Dawson P R,Lee Y S.A time integration algorithm for elasto-viscoplastic cubic crystals applied to modelling polycrystalline deformation[J].Int.J.for Numberical Methods in Engineering,1992,35:1565-1588.
[7]Rashid M M,Nemat-Nasser S.A constitutive algorithm for rate-dependent crystal plasticity[J].Computer Methods in Applied Mechanics and Engineering,1992,94:201-228.
[8]Steinmann P,Stein E.On the numerical treatment and analysis of finite deformation ductile single crystal plasticity[J].Comput Methods Appl Mech Engrg,1996,129:235-254.
[9]Sarma G,Zacharia T.Integration algorithm for modeling the elasto-viscoplastic response of polycrystalline materials[J].Journal of the Mechanics and Physics of Solids,1999,47:1219-1238
[10]Zhang K S,Wu M S,Feng R.Simulation of microplasticity-induced deformation in uniaxially strained ceramics by 3-D Voronoi polycrystal modeling[J].International Journal of Plasticity,2005,21(4):801-834.
[11]Wu P D,Neale K W,Giessen E V D.Simulation of the behaviour of FCC polycrystals during reversed torsion[J].Int.J.of Plasticity,1996,12:1199-1219.
[12]Qian Z F,Wui H C.A 2-D texture study based on a double-slip model of polycrystal plasticity with analysis of thin-walled tubes under torsion[J].Int.J.Sol.&Structures,1996,33:4167-4193.
[13]刘胜伟,石宝东.基于晶体塑性理论镁合金塑性变形行为研究概述[J].功能材料,2018,49(10):89-93.
[14]Zhao Man.Effect of crystallographic orientation on the hardness of polycrystalline materials AA7075[J].Journal of Mechanical Engineering Science,2019,233:3182-3192.
[15]Rovinelli A.Assessing the reliability of fast Fourier transform-based crystal plasticity simulations of a polycrystalline material near a crack tip[J].International Journal of Solids and Structures,2019,89:78-86.