李金泉,张蕊,郭海林

• 1:沈阳理工大学机械工程学院

摘要(Abstract)：

以铝青铜QAl9-4为试验材料,根据分离式霍普金森压杆试验得到的数据,研究了铝青铜在高速冲击载荷作用下的Johnson-Cook(J-C)本构关系,根据高应变率变形下,部分塑性功转变为微孔洞等微观缺陷长大演化所需能量的观点,提出了一个同时依赖于应变率和应变的损伤因子,在J-C模型的基础上建立了考虑损伤的改进型J-C模型,研究损伤对材料性能的影响。结果表明,当损伤因子小于阈值时,损伤造成的应力变化可忽略不计,此时,J-C模型与试验曲线比较吻合,当损伤因子大于该阈值时,改进的J-C模型更符合材料的动态破坏特性。本研究扩大了J-C模型的适用范围。

关键词(KeyWords)： 固体力学;本构关系;霍普金森压杆试验;铝青铜

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(51275317);; 沈阳理工大学“辽宁省先进制造技术与装备重点实验室”开放基金

作者(Author): 李金泉,张蕊,郭海林

DOI: 10.13289/j.issn.1009-6264.2016.01.040

参考文献(References)：

• [1]张胜全,尹赟,李鹏.固溶、时效、深冷处理对QAl9-4铝青铜组织及性能的影响[J].材料热处理学报,2014,35(10):39-43.ZHANG Sheng-quan,YIN Yun,LI Peng.Effect of solution and aging and cryogenic treatment on microstructure and properties of QAl9-4 aluminum bronze[J].Transactions of Materials and Heat treatment,2014,35(10):39-43.
• [2]林高用,王莉,许秀芝,等.固溶时效对QAl9-4-3铝青铜组织和性能的影响[J].中国有色金属学报,2013,23(3):679-686.LIN Gao-yong,WANG Li,XU Xiu-zhi,et al.Effect of solution and aging treatment on microstructure and properties of QAl9-4-3 aluminum bronze[J].The Chinese Journal of Nonferrous Metals,2013,23(3):679-686.
• [3]Fuxiao Chen,Hejun Li,Junqing Guo,et al.Predictive model of superplastic properties of aluminum bronze and of the superplastic extrusion test[J].Materials Science and Engineering A,2009,499(1/2):315-319.
• [4]Leilei Gao,Xianhua Cheng.Microstructure and mechanical properties of Cu-10%Al-4%Fe alloy produced by equal channel angular extrusion[J].Materials and Design,2008,29(4):904-908.
• [5]Kudashov D V,Zauter R,Muller H R.Spray-formed high-aluminum bronzes[J].Materials Science and Engineering A,2008,477(1/2):43-49.
• [6]张胜全,尹赟,李鹏.深冷处理对QAl9-4铝青铜组织和性能的影响[J].金属热处理,2015,40(2):169-172.ZHANG Sheng-quan,YIN Yun,LI Peng.Effect of cryogenic treatment on microstructure and properties of QAl9-4 aluminium bronze[J].Heat Treatment of Metals,2015,40(2):169-172.
• [7]杨春秀,李华清,陈忠平,等.铝青铜形变热处理工艺研究[J].特种铸造及有色合金,2011,31(11):998-1001.YANG Chun-xiu,LI Hua-qing,CHEN Zhong-ping,et al.Effects of thermo-mechanical treatment on properties of Al-bronze alloy[J].Special Casting&Nonferrous Alloys,2011,31(11):998-1001.
• [8]李增辉,黄根哲.熔炼工艺对铸造铝青铜微观组织与性能的影响[J].热加工工艺,2012,41(10):51-54.LI Zeng-hui,HUANG Gen-zhe.Effect of melting process on microstructure and mechanical properties of aluminum bronze casting alloy[J].Hot Working Technology,2012,41(10):51-54.
• [9]Kaplan M,Yildiz A K.The effects of production methods on the microstructures and mechanical properties of an aluminum bronze[J].Materials Letters,2003,57(28):4402-4411.
• [10]王礼立.冲击动力学进展[M].合肥:中国科学技术大学出版社,1992:3-33.
• [11]Adesola A O,Odeshi A G,Lanke U D.The effects of aging treatment and strain rates on damage evolution in AA 6061aluminum alloy in compression[J].Materials and Design,2013,45:212-221.
• [12]Xu Y B,Bai Y L,Meyers M A.Deformation,phase transformation and recrystallizationin the shear bands induced byhigh-strain rate loading in titanium and its alloys[J].J Mater Sci Technol,2006,22(6):737-746.
• [13]李金泉,彭守凡,黄德武,等.穿甲试验中绝热剪切带特征及与裂纹的关系[J].兵器材料科学与工程,2007,30(6):29-32.LI Jin-quan,PENG Shou-fan,HUANG De-wu,et al.Characteristics of adiabatic shear bands and the relations with cracks in penetration target[J].Ordnance Material Science and Engineering,2007,30(6):29-32.
• [14]Borvik T,Hopperstad O S,Berstad T,et al.A computational model of viscoplasticity and ductile damage for impact and penetration[J].Eur J Mech A/Solids,2000,20(5):685-712.
• [15]Gordon R J,William H C.A constitutive model and data for metals subjected to large strains,high rates and high temperatures[C]//The Hague,The Netherlands:Processing of the Seventh International Symposium on Ballastics,1983,541-547.
• [16]Frank J.Zerilli,Ronald W.Armstrong.Description of tantalum deformation behavior by dislocation mechanics based constitutive relations[J].J Appl Phys,1990,68(4):1580-1591.
• [17]Follansbee P S,Huang J C,Gray G T.Low-temperature and high-strain-rate deformation of nickel and nickel-carbon alloys and analysis of the constitutive behavior according to an internal state variable model[J].Acta Metallurgica,1990,38(7):1241-1254.
• [18]Carroll M M,Holt A C.Static and dynamic pore-collapse relations for ductile porous materials[J].Journal Applied Physics,1972,43(4):1626-1636.
• [19]Perzyna P.Internal state variable description of dynamic fracture of ductile solids[J].Int J Solids Struct,1985,22(7):797-818.
• [20]Lynn S,Donald R C,Donald A S.Computational models for ductile and brittle fracture[J].Journal Applied Physics,1976,47(11):4813-4826.
• [21]董杰,李永池,陈学东.一种新型微孔洞损伤模型[J].高压物理学报,2007,21(4):414-418.DONG Jie,LI Yong-chi,CHEN Xue-dong.A new damage model of microvoids[J].Chinese Journal of High Pressure Physics,2007,21(4):414-418.
• [22]王礼立,董新龙,孙紫建.高应变率下计及损伤演化的材料动态本构行为[J].爆炸与冲击,2006,26(3):193-198.WANG Li-li,DONG Xin-long,SUN Zi-jian.Dynamic constitutive behavior of materials at high strain rate taking account of damage evolution[J].Explosion and Shock Waves,2006,26(3):193-198.
• [23]Wang L L,Hu S S,Yang L M,et al.Development of experimental methods for impact testing by combining hopkinson pressure bar with other techniques[J].Acta Mechanica Solida Sinica,2014,27(4):331-343.
• [24]Liu R,Shreyes M,Raghuram P,et al.An enhanced constitutive material model for machining of Ti-6Al-4V alloy[J].Journal of Materials Processing Technology,2013,213(12):2238-2246.
• [25]王学滨.Ti-6Al-4V绝热剪切带的厚度及应变率效应研究[J].稀有金属材料与工程,2009,38(2):214-218.WANG Xue-bin.Theoretical analysis of the adiabatic shear band width and strain rate effect of Ti-6Al-4V[J].Rare Metal Materials and Engineering,2009,38(2):214-218.
• [26]李金泉,黄德武,段占强,等.穿甲试验靶弹孔微观结构和绝热剪切带特性[J].北京科技大学学报,2003,25(6):545-548.LI Jin-quan,HUANG De-wu,DUAN Zhan-qian,et al.Microstructure near the penetrated hole in an experimental penetration target and characteristics of the adiabatic shear band[J].Journal of University of Science and Technology Beijing,2003,25(6):545-548.
• [27]Mason J J,Rosakis A J,Ravichandran G.On the strain and strain rate dependence of the friction of plastic work converted to heat:an experimental study using high speed infrared detectors and the kolosky bar[J].Mechanics of Materials,1994,17(2/3):135-145.
• [28]Rosakis P,Rosakis A J,Ravichandran G,et al.A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals[J].J Mech Phys Solids,2000,48(3):581-607.
• [29]李兆霞.损伤力学及其应用[M].北京:科学出版社,2002:16-17.

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