Mises屈服准则及其在钻探工具强度设计中的应用
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摘要
在地质钻探工具设计和使用过程中,需要用到强度理论或屈服准则对遇到的钻采设备、工具失效等问题进行分析。为帮助人们对Mises屈服准则(应力)的理解,从理论上阐述了Mises屈服准则与畸变能密度理论的关系,其实质就是第四强度理论。在弹塑性范围内,Mises屈服准则统一了单向拉压状态的第一强度理论、复杂应力状态的第三强度理论和第四强度理论。Mises屈服准则在有限元数值分析中获得了更为广泛的应用。
In the process of designing and using the geological drilling tools,strength theory or yield criterion is required to analyze drilling equipment and tool failure problems.In order to help people understand Mises yield criterion(stress),this paper introduces theoretically the relationship between the Mises yield criterion and the distortional strain energy density criterion,it is revealed that the essence of Mises yield criterions is the fourth strength theory.In the elasto-plastic range,Mises yield criterion unifies the first strength theory of the single tension or compression state,the third and fourth strength theory of complex stress state.Thus Mises yield criterion is more widely used in the finite element numerical analysis.
In the process of designing and using the geological drilling tools,strength theory or yield criterion is required to analyze drilling equipment and tool failure problems.In order to help people understand Mises yield criterion(stress),this paper introduces theoretically the relationship between the Mises yield criterion and the distortional strain energy density criterion,it is revealed that the essence of Mises yield criterions is the fourth strength theory.In the elasto-plastic range,Mises yield criterion unifies the first strength theory of the single tension or compression state,the third and fourth strength theory of complex stress state.Thus Mises yield criterion is more widely used in the finite element numerical analysis.
引文
[1]管朝晖,杨斌.工程用钻杆螺纹断裂失效研究[J].机械设计与制造,2009,(12):152-154.
[2]苏继军,殷琨,郭同彤.提高钻杆接头螺纹强度的有效方法研究[J].探矿工程(岩土钻掘工程),2005,32(8):40-42
[3]冯清文.绳索取心钻杆螺纹锥度与强度关系及应力研究[J].探矿工程,1995,(6):24-26.
[4]Changgen Bu,Boru Xia,Yinjun Lian,et al.Simulation of Hertz Transient Contact/Impact of Flexible Bodies[J].Journal of Earth Science,2012,23(2):225-232.
[5]Changgen Bu,Yegao Qu,Zhiqiang Cheng,et al.Numerical Simulation of Impact on Pneumatic DTH Hammer Percussive Drilling[J].Journal of Earth Science,2009,20(5):868-878.
[6]Maohong Yu.Advances in strength theories for materials under complex stress state in the 20th Century[J].Applied Mechanics Reviews,2004,55(3):169.
[7]Bu C,Li X,Sun L,et al.Arithmetic solution for the axial vibration of drill string coupling with a down-the-hole hammer in rock drilling[J].Journal of Vibration&Control,2016,22(13):3090-3101.
[8]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995.
[9]Krenk S.A Family of Invariant Stress Surfaces[J].Journal of Engineering Mechanics,2014,122(3):201-208.
[10]Hill R.The mathematical theory of plasticity[J].Mathematical Gazette,1998,313(35):13-26.
[11]杨桂通.弹塑性力学引论[M].北京:清华大学出版社,2004.
[12]Emmens,Wilko C,d.B.A.H.Van.A Yield Criterion Based on Mean Shear Stress[J].Key Engineering Materials,2014:611-612.
[13]Christensen R M.Yield functions/failure criteria for isotropic materials[J].Proceedings of the Royal Society A,1997,453:1473-1491.
[14]http://wenku.baidu.com/view/4c793706bed5b9f3f90f1c6c.html?re=view[DB/OL].
[2]苏继军,殷琨,郭同彤.提高钻杆接头螺纹强度的有效方法研究[J].探矿工程(岩土钻掘工程),2005,32(8):40-42
[3]冯清文.绳索取心钻杆螺纹锥度与强度关系及应力研究[J].探矿工程,1995,(6):24-26.
[4]Changgen Bu,Boru Xia,Yinjun Lian,et al.Simulation of Hertz Transient Contact/Impact of Flexible Bodies[J].Journal of Earth Science,2012,23(2):225-232.
[5]Changgen Bu,Yegao Qu,Zhiqiang Cheng,et al.Numerical Simulation of Impact on Pneumatic DTH Hammer Percussive Drilling[J].Journal of Earth Science,2009,20(5):868-878.
[6]Maohong Yu.Advances in strength theories for materials under complex stress state in the 20th Century[J].Applied Mechanics Reviews,2004,55(3):169.
[7]Bu C,Li X,Sun L,et al.Arithmetic solution for the axial vibration of drill string coupling with a down-the-hole hammer in rock drilling[J].Journal of Vibration&Control,2016,22(13):3090-3101.
[8]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995.
[9]Krenk S.A Family of Invariant Stress Surfaces[J].Journal of Engineering Mechanics,2014,122(3):201-208.
[10]Hill R.The mathematical theory of plasticity[J].Mathematical Gazette,1998,313(35):13-26.
[11]杨桂通.弹塑性力学引论[M].北京:清华大学出版社,2004.
[12]Emmens,Wilko C,d.B.A.H.Van.A Yield Criterion Based on Mean Shear Stress[J].Key Engineering Materials,2014:611-612.
[13]Christensen R M.Yield functions/failure criteria for isotropic materials[J].Proceedings of the Royal Society A,1997,453:1473-1491.
[14]http://wenku.baidu.com/view/4c793706bed5b9f3f90f1c6c.html?re=view[DB/OL].