金属材料割线模量峰值与其弹性极限的相关性
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摘要
为了快速确定金属材料单轴应力状态下的弹性极限或屈服应力,对高碳钢与低碳钢进行了拉伸和压缩试验,绘制了割线模量-应变曲线,分析了割线模量峰值与弹塑性变形的相关性.结果表明,在应力-应变全过程中割线模量存在明显峰值,且达到峰值后呈现衰减特征.峰值所在的位置与其弹性极限具有较为稳定的对应关系,因而通过确定该峰值所在位置可以间接确定弹性极限.割线模量峰值与弹性极限均可能受到加载速度、边界条件或应力状态等因素的影响,还可能存在尺寸或形状效应.
In order to rapidly determine the elastic limit or yield stress of metallic materials under uniaxial stress state,the tensile and compressive tests for both high carbon steel and low carbon steel were conducted,the secant modulus-strain curves were plotted,and the correlation between the peak secant modulus value and elastic-plastic deformation was analyzed. The results indicate that in the whole stress-strain process,the secant modulus has an obvious peak value,and the peak value shows attenuation characteristics. There is a stable corresponding relationship between the location of peak value and its elastic limit. Thus,the elastic limit can be indirectly determined through determining the location of peak value. The peak value and elastic limit may be affected by such factors as loading speed,boundary condition or stress state,and they may also have size effect or shape effect.
In order to rapidly determine the elastic limit or yield stress of metallic materials under uniaxial stress state,the tensile and compressive tests for both high carbon steel and low carbon steel were conducted,the secant modulus-strain curves were plotted,and the correlation between the peak secant modulus value and elastic-plastic deformation was analyzed. The results indicate that in the whole stress-strain process,the secant modulus has an obvious peak value,and the peak value shows attenuation characteristics. There is a stable corresponding relationship between the location of peak value and its elastic limit. Thus,the elastic limit can be indirectly determined through determining the location of peak value. The peak value and elastic limit may be affected by such factors as loading speed,boundary condition or stress state,and they may also have size effect or shape effect.
引文
[1]陈四利,李艳宇,张精禹.基于三参数双τ2强度理论的厚壁圆筒极限压力分析[J].沈阳工业大学学报,2016,38(5):555-559.(CHEN Si-li,LI Yan-yu,ZHANG Jing-yu.Limit stress analysis for thick-wall cylinder based on triparameter and twinτ2strength theory[J].Journal of Shenyang University of Technology,2016,38(5):555-559.)
[2]姜志宏,王宝雨,校文超.低频振动作用下45钢压缩力学行为分析[J].塑性工程学报,2017,24(2):166-170.(JIANG Zhi-hong,WANG Bao-yu,XIAO Wen-chao.Mechanical behaviors of steel 45 during compression in the low-frequency vibration[J].Journal of Plasticity Engineering,2017,24(2):166-170.)
[3]邱克强,胡冰,任鹤,等.低合金高强钢KMN焊接接头的低温性能[J].沈阳工业大学学报,2015,37(6):634-638.(QIU Ke-qiang,HU Bing,REN He,et al.Lowtemperature properties of welded joints of KMNHSLA steel[J].Journal of Shenyang University of Technology,2015,37(6):634-638.)
[4]张克球,李承孝,范知言,等.钢筋应力-应变特性初步分析[J].工业建筑,1981,7(6):16-19.(ZHANG Ke-qiu,LI Cheng-xiao,FAN Zhi-yan,et al.Preliminary analysis on stress-strain characteristics of reinforcing steel bar[J].Industrial Construction,1981,7(6):16-19.)
[5]杨晶,白晓红.对采用割线模量法进行沉降计算所存在问题的探讨[J].太原理工大学学报,2014,453(2):274-278.(YANG Jing,BAI Xiao-hong.Study on some problems of settlement calculation with secant modulus method[J].Journal of Taiyuan University of Technology,2014,453(2):274-278.)
[6]延西利,李新波,延凯凯,等.基于压缩试验的水泥混凝土弹性模量取值法[J].长安大学学报(自然科学版),2015,35(4):1-7.(YAN Xi-li,LI Xin-bo,YAN Kai-kai,et al.Determination of elastic modulus of cement concrete based on compression test[J].Journal of Chang’an University(Natural Science Edition),2015,35(4):1-7.)
[7]谷川,王军,张婷婷,等.应力路径对饱和软黏土割线模量的影响[J].岩土力学,2013,34(12):3394-3402.(GU Chuan,WANG Jun,ZHANG Ting-ting,et al.Influence of stress path on secant modulus of soft saturated clay[J].Rock and Soil Mechanics,2013,34(12):3394-3402.)
[8]张国凯,李海波,夏祥,等.岩石单轴压缩下能量与损伤演化规律研究[J].岩土力学,2015,36(增刊1):94-100.(ZHANG Guo-kai,LI Hai-bo,XIA Xiang,et al.Research on energy and damage evolution of rock under uniaxial compression[J].Rock and Soil Mechanics,2015,36(Sup 1):94-100.)
[9]Ahn J,Gabr M.Degraded secant modulus for permanent deformation of soils[J].International Journal of Pavement Engineering,2015,16(6):549-558.
[10]Gomes R C,Jaime A S,Modaressi-Farahmand R,et al.Validation of a strategy to predict secant shear modulus and damping of soils with an elastoplastic model[J].Journal of Civil Engineering,2016,20(2):609-622.
[11]中国国家标准化管理委员会.GB/T 228.1-2010金属材料拉伸试验第1部分:室温试验方法[S].北京:中国标准出版社,2011.(China National Standardization Management Committee.GB/T 228.1-2010 Metallic materials tensile testing part 1:method of test at room temperature[S].Beijing:China Standards Press,2011.)
[2]姜志宏,王宝雨,校文超.低频振动作用下45钢压缩力学行为分析[J].塑性工程学报,2017,24(2):166-170.(JIANG Zhi-hong,WANG Bao-yu,XIAO Wen-chao.Mechanical behaviors of steel 45 during compression in the low-frequency vibration[J].Journal of Plasticity Engineering,2017,24(2):166-170.)
[3]邱克强,胡冰,任鹤,等.低合金高强钢KMN焊接接头的低温性能[J].沈阳工业大学学报,2015,37(6):634-638.(QIU Ke-qiang,HU Bing,REN He,et al.Lowtemperature properties of welded joints of KMNHSLA steel[J].Journal of Shenyang University of Technology,2015,37(6):634-638.)
[4]张克球,李承孝,范知言,等.钢筋应力-应变特性初步分析[J].工业建筑,1981,7(6):16-19.(ZHANG Ke-qiu,LI Cheng-xiao,FAN Zhi-yan,et al.Preliminary analysis on stress-strain characteristics of reinforcing steel bar[J].Industrial Construction,1981,7(6):16-19.)
[5]杨晶,白晓红.对采用割线模量法进行沉降计算所存在问题的探讨[J].太原理工大学学报,2014,453(2):274-278.(YANG Jing,BAI Xiao-hong.Study on some problems of settlement calculation with secant modulus method[J].Journal of Taiyuan University of Technology,2014,453(2):274-278.)
[6]延西利,李新波,延凯凯,等.基于压缩试验的水泥混凝土弹性模量取值法[J].长安大学学报(自然科学版),2015,35(4):1-7.(YAN Xi-li,LI Xin-bo,YAN Kai-kai,et al.Determination of elastic modulus of cement concrete based on compression test[J].Journal of Chang’an University(Natural Science Edition),2015,35(4):1-7.)
[7]谷川,王军,张婷婷,等.应力路径对饱和软黏土割线模量的影响[J].岩土力学,2013,34(12):3394-3402.(GU Chuan,WANG Jun,ZHANG Ting-ting,et al.Influence of stress path on secant modulus of soft saturated clay[J].Rock and Soil Mechanics,2013,34(12):3394-3402.)
[8]张国凯,李海波,夏祥,等.岩石单轴压缩下能量与损伤演化规律研究[J].岩土力学,2015,36(增刊1):94-100.(ZHANG Guo-kai,LI Hai-bo,XIA Xiang,et al.Research on energy and damage evolution of rock under uniaxial compression[J].Rock and Soil Mechanics,2015,36(Sup 1):94-100.)
[9]Ahn J,Gabr M.Degraded secant modulus for permanent deformation of soils[J].International Journal of Pavement Engineering,2015,16(6):549-558.
[10]Gomes R C,Jaime A S,Modaressi-Farahmand R,et al.Validation of a strategy to predict secant shear modulus and damping of soils with an elastoplastic model[J].Journal of Civil Engineering,2016,20(2):609-622.
[11]中国国家标准化管理委员会.GB/T 228.1-2010金属材料拉伸试验第1部分:室温试验方法[S].北京:中国标准出版社,2011.(China National Standardization Management Committee.GB/T 228.1-2010 Metallic materials tensile testing part 1:method of test at room temperature[S].Beijing:China Standards Press,2011.)