基于三剪统一强度准则的厚壁圆筒自增强分析
|
摘要
基于三剪统一强度准则,考虑材料应变强化效应、包辛格效应、拉压异性及中间主应力的影响,采用双线性强化材料模型对厚壁圆筒进行自增强分析,得到了厚壁圆筒加载应力、残余应力和工作应力的解析解,提出了最佳自增强压力的计算方法,探讨了拉压比、强度准则变化参数的影响,比较了自增强处理和非自增强处理及双线性强化模型和理想弹塑性模型厚壁圆筒的应力分布差异。研究结果表明:厚壁圆筒的最佳自增强压力随半径比和强度准则参数的增大而增大;工作时的最大等效应力随半径比和强度理论参数的增大而减小,随拉压比的增大而增大;自增强等效应力的最大值在弹塑性分界面处,且应力沿壁厚的分布较均匀;与理想弹塑性模型相比,双线性强化模型所对应的弹塑性分界面半径和残余应力较小,且随着自增强压力的增大,两种模型的差值越来越大;等效应力随半径比的变化规律可为厚壁圆筒选择合理的壁厚提供一定的参考;自增强技术可改善厚壁圆筒工作时的实际应力分布,提高其极限承载能力。
In order to analyze autofrettage theory of thick-walled cylinders,a bilinear hardening model was established and the analytical solutions of loading stresses,residual stresses and working stresses were derived based on the triple-shear unified strength criterion,which taken the strain hardening,Bauschinger effect,strength difference(SD)effect and the effect of intermediate principal stress into consideration.The optimal autofrettage pressure of thick-walled cylinder was deduced,the influences of ratio among tension stress and compression stress,strength criterion parameters were investigated respectively.In addition,the stress distributions of thick-walled cylinders between autofrettage and non-autofrettage,the bilinear hardening model and elastic-perfectly plastic model were compared.The results show that the optimum autofrettage pressure will increase with the increase of radius ratio and strength criterion parameter;the maximum equivalent working stress will decrease with the increase of radius ratio and strength criterion parameters,but increases with the increase of ratio between tension stress and compression stress;the maximum equivalent stresses in the elastic plastic junctions and the stresses of thick-walled cylinder along the wall thickness are well-distributed;compared with the elastic-perfectly plastic model,the radius of elastic plastic junction and residual stress of bilinear hardening model are lower,meanwhile with the increase of autofrettage pressure,the difference becomes more and more obvious;the curve of equivalent stress along with radius ratio may provide reference for choosing the optimal wall thickness;autofrettage technique may improve the working stress distribution and ultimate bearing capacity of thick-walled cylinders.
In order to analyze autofrettage theory of thick-walled cylinders,a bilinear hardening model was established and the analytical solutions of loading stresses,residual stresses and working stresses were derived based on the triple-shear unified strength criterion,which taken the strain hardening,Bauschinger effect,strength difference(SD)effect and the effect of intermediate principal stress into consideration.The optimal autofrettage pressure of thick-walled cylinder was deduced,the influences of ratio among tension stress and compression stress,strength criterion parameters were investigated respectively.In addition,the stress distributions of thick-walled cylinders between autofrettage and non-autofrettage,the bilinear hardening model and elastic-perfectly plastic model were compared.The results show that the optimum autofrettage pressure will increase with the increase of radius ratio and strength criterion parameter;the maximum equivalent working stress will decrease with the increase of radius ratio and strength criterion parameters,but increases with the increase of ratio between tension stress and compression stress;the maximum equivalent stresses in the elastic plastic junctions and the stresses of thick-walled cylinder along the wall thickness are well-distributed;compared with the elastic-perfectly plastic model,the radius of elastic plastic junction and residual stress of bilinear hardening model are lower,meanwhile with the increase of autofrettage pressure,the difference becomes more and more obvious;the curve of equivalent stress along with radius ratio may provide reference for choosing the optimal wall thickness;autofrettage technique may improve the working stress distribution and ultimate bearing capacity of thick-walled cylinders.
引文
[1]曲文新,古浪,马利斌.自增强外压球壳应力强度计算与分析[J].船舶工程,2015,37(10):98-101.QU Wenxin,GU Lang,MA Libin.Stress Calculation and Analysis of External Pressure Spherical Shell Based on Self-reinforced Technology[J].Ship Engineering,2015,37(10):98-101.
[2]郑小涛,轩福贞.热-机载荷下厚壁圆筒自增强压力与安全性分析[J].机械工程学报,2010,46(16):156-161.ZHENG Xiaotao,XUAN Fuzhen.Investigation on Autofrettage and Safety of the Thick-walled Cylinder under Thermo-mechanical Loadings[J].Journal of Mechanical Engineering,2010,46(16):156-161.
[3]LIVIERI P,LAZZARIN P.Autofrettaged Cylindrical Vessels and Bauschinger Effect:An Analytical Frame for Evaluating Residual Stress Distributions[J].Journal of Pressure Vessel Technology,2002,124(1):38-45.
[4]HUANG X P,CUI W C.Effect of Bauschinger Effect and Yield Criterion on Residual Stress Distribution of Autofrettaged Tube[J].Journal of Pressure Vessel Technology,2006,128:212-216.
[5]林太清,胡小荣.基于三剪统一强度准则的厚壁圆筒极限承压分析[J].福州大学学报(自然科学版),2006,34(5):727-731.LIN Taiqing,HU Xiaorong.Limit Pressures for Thick Wall Cylinders Based on the Triple Shear Unified Failure Criterion[J].Journal of Fuzhou University(Natural Science),2006,34(5):727-731.
[6]钱凌云,刘全坤,王成勇,等.厚壁圆筒自增强压力的优化分析[J].中国机械工程,2012,23(4):474-479.QIAN Lingyun,LIU Quankun,WANG Chengyong,et al.Optimization Analysis of Autofrettage Pressure for Thick Walled Cylinders[J].China Mechanical Engineering,2012,23(4):474-479.
[7]马景槐.线性强化材料厚壁圆筒统一自增强分析[J].石油化工设备,2003,32(3):26-30.MA Jinghuai.Autofrettage Analysis of Thick Wall Cylinder of Linear Strength Material Based on the Unified Strength Theory[J].Petro-Chemical Equipment,2003,32(3):26-30.
[8]李艳,赵均海,曹雪叶,等.内压作用下弯管爆破压力的三剪统一解[J].应用力学学报,2015,32(4):530-536.LI Yan,ZHAO Junhai,CAO Xueye,et al.Tripleshear Unified Solution for Burst Pressure of Elbows under Internal Pressure[J].Chinese Journal of Applied Mechanics,2015,32(4):530-536.
[9]张常光,赵均海,孙珊珊.隧道围岩弹-脆-塑性应力的三剪统一解[J].应用力学学报,2012,29(5):530-534.ZHANG Changguang,ZHAO Junhai,SUN Shanshan.An Analytical Solution for Tunnel Stress in an Elastic-brittle-plastic Rock Based on the Tripleshear Unified Strength Criterion[J].Chinese Journal of Applied Mechanics,2012,29(5):530-534.
[10]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995.XU Bingye,LIU Xinsheng.Applied Elastic-plastic Mechanics[M].Beijing:Tsinghua University Press,1995.
[11]马景槐.拉压异性强化材料高压容器自增强分析[J].石油化工设备,2001,30(2):1-4.MA Jinghuai.Autofrettage Analysis of High-pressure Vessel of Strength Material with Different Yield Strength in Tension and Compression[J].Petro-Chemical Equipment,2001,30(2):1-4.
[12]胡小荣,林太清.三剪屈服准则及其在极限内压计算中的应用[J].中国有色金属学报,2007,17(2):207-215.HU Xiaorong,LIN Taiqing.Triple-shear Yield Criterion and Its Applications to Limit Pressures for Thin and Thick Wall Cylinders and Thick Wall Spherical Shells[J].The Chinese Journal of Nonferrous Metals,2007,17(2):207-215.
[13]俞茂宏,杨松岩,刘春阳,等.统一平面应变滑移线场理论[J].土木工程学报,1997,30(2):14-26.YU Maohong,YANG Songyan,LIU Chunyang,et al.Unified Plane-strain Slip Line Field Theory System[J].China Civil Engineering Journal,1997,30(2):14-26.
[2]郑小涛,轩福贞.热-机载荷下厚壁圆筒自增强压力与安全性分析[J].机械工程学报,2010,46(16):156-161.ZHENG Xiaotao,XUAN Fuzhen.Investigation on Autofrettage and Safety of the Thick-walled Cylinder under Thermo-mechanical Loadings[J].Journal of Mechanical Engineering,2010,46(16):156-161.
[3]LIVIERI P,LAZZARIN P.Autofrettaged Cylindrical Vessels and Bauschinger Effect:An Analytical Frame for Evaluating Residual Stress Distributions[J].Journal of Pressure Vessel Technology,2002,124(1):38-45.
[4]HUANG X P,CUI W C.Effect of Bauschinger Effect and Yield Criterion on Residual Stress Distribution of Autofrettaged Tube[J].Journal of Pressure Vessel Technology,2006,128:212-216.
[5]林太清,胡小荣.基于三剪统一强度准则的厚壁圆筒极限承压分析[J].福州大学学报(自然科学版),2006,34(5):727-731.LIN Taiqing,HU Xiaorong.Limit Pressures for Thick Wall Cylinders Based on the Triple Shear Unified Failure Criterion[J].Journal of Fuzhou University(Natural Science),2006,34(5):727-731.
[6]钱凌云,刘全坤,王成勇,等.厚壁圆筒自增强压力的优化分析[J].中国机械工程,2012,23(4):474-479.QIAN Lingyun,LIU Quankun,WANG Chengyong,et al.Optimization Analysis of Autofrettage Pressure for Thick Walled Cylinders[J].China Mechanical Engineering,2012,23(4):474-479.
[7]马景槐.线性强化材料厚壁圆筒统一自增强分析[J].石油化工设备,2003,32(3):26-30.MA Jinghuai.Autofrettage Analysis of Thick Wall Cylinder of Linear Strength Material Based on the Unified Strength Theory[J].Petro-Chemical Equipment,2003,32(3):26-30.
[8]李艳,赵均海,曹雪叶,等.内压作用下弯管爆破压力的三剪统一解[J].应用力学学报,2015,32(4):530-536.LI Yan,ZHAO Junhai,CAO Xueye,et al.Tripleshear Unified Solution for Burst Pressure of Elbows under Internal Pressure[J].Chinese Journal of Applied Mechanics,2015,32(4):530-536.
[9]张常光,赵均海,孙珊珊.隧道围岩弹-脆-塑性应力的三剪统一解[J].应用力学学报,2012,29(5):530-534.ZHANG Changguang,ZHAO Junhai,SUN Shanshan.An Analytical Solution for Tunnel Stress in an Elastic-brittle-plastic Rock Based on the Tripleshear Unified Strength Criterion[J].Chinese Journal of Applied Mechanics,2012,29(5):530-534.
[10]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995.XU Bingye,LIU Xinsheng.Applied Elastic-plastic Mechanics[M].Beijing:Tsinghua University Press,1995.
[11]马景槐.拉压异性强化材料高压容器自增强分析[J].石油化工设备,2001,30(2):1-4.MA Jinghuai.Autofrettage Analysis of High-pressure Vessel of Strength Material with Different Yield Strength in Tension and Compression[J].Petro-Chemical Equipment,2001,30(2):1-4.
[12]胡小荣,林太清.三剪屈服准则及其在极限内压计算中的应用[J].中国有色金属学报,2007,17(2):207-215.HU Xiaorong,LIN Taiqing.Triple-shear Yield Criterion and Its Applications to Limit Pressures for Thin and Thick Wall Cylinders and Thick Wall Spherical Shells[J].The Chinese Journal of Nonferrous Metals,2007,17(2):207-215.
[13]俞茂宏,杨松岩,刘春阳,等.统一平面应变滑移线场理论[J].土木工程学报,1997,30(2):14-26.YU Maohong,YANG Songyan,LIU Chunyang,et al.Unified Plane-strain Slip Line Field Theory System[J].China Civil Engineering Journal,1997,30(2):14-26.