Study on Wire Rope Elastic-plastic Damage Constitutive Model

doi:10.3901/JME.2017.01.121

Abstract

Abstract: Based on the analysis of wire rope material and structure, damage mechanics is introduced in the failure model and an elastic plastic damage constitutive model of wire rope is established. The theoretical equation for the evolution of damage variables under tensile loading is derived. Wire rope elastic plastic damage finite element simulation analysis programs with damage and without damage are written. Damage evolution history of the steel wire rope under the tensile stress is calculated. Two constitutive model simulation results with damage and without damage are contrasted. This provides a basis for further development of the research on the life and reliability of wire rope based on damage mechanics.

Key words: elastic-plastic analysis, impact load, wire rope with single strand

REN Zhiqian, YU Zongyue, CHEN Xun. Study on Wire Rope Elastic-plastic Damage Constitutive Model[J]. Journal of Mechanical Engineering, 2017, 53(1): 121-129.

References

[1] COSTELLO G A. Stresses in multilayered cable [J]. ASME J. Energy Resources Technology, 1983, (105)：337-340.

[2] VELINSKY S A，ANDERSON G L，COSTELLO G A. Wire rope with complex cross section [J]. Journal of Engineering Mechanics，1985，52(3)：380-391.

[3] GHOREISHI S R，MESSAGER T，CARTRAUDA P. Validity and limitations of linear analytical models for steel wire strands under axial loading using 3D FE model [J]. International Journal of Mechanical Sciences，2007， 49(11)：1251-1261.

[4] 沈燕，张德坤，王大刚，等. 接触载荷对钢丝微动磨损行为影响的研究 [J]. 摩擦学学报，2010，30(4)：404-408.

SHEN Yan，ZHANG Dekun，WANG Dagang，et a1. Effect of contact load on the fretting wear behavior of steel wire [J]. Tribology，2010,30(4) ：404-408.

[5] BERETTA S，BONIARDI M. Fatigue strength and surface quality of eutectoid steel wires [J]. International Journal of Fatigue，1999，21：329-335.

[6] NAWROCKI A. LABROSSE M. A finite element model for simple straight wire rope strands [J]. Computers and Tructures，2000，77：345-359.

[7] 马军, 葛世荣, 张德坤. 钢丝绳股内钢丝应力-应变分布的计算模型及数值模拟[J]. 机械工程学报，2009，45(11)：277-282.

MA Jun，GE Shirong，ZHANG Dekun. Calculating model and numerical simulation of stress-strain distribution of wires within strands[J]. Journal of Mechanical Engineering，2009, 45(11)：277-282.

[8] 张德坤，葛世荣. 钢丝微动磨损过程中的接触力学问题研究[J]. 机械强度，2007，29(1)：148-151.

ZHANG Dekun，GE Shirong. Research on the contact mechanisms in the process of fretting wear between steel wires[J]. Journal of Compressive Strength，2007，29(1)：148-151.

[9] 赵怡晴，刘红岩，吕淑然，等. 基于宏观和细观缺陷耦合的节理岩体损伤本构模型[J].中南大学学报， 2015(4)：1489-1496.

ZHAO Yiqing，LIU Hongyan，LÜ Shuran，et a1. Damage constitutive model of jointed rock mass based on coupling macroscopic and mesoscopic flaws[J]. Journal of Central South University，2015(4)：1489-1496.

[10] 薛建刚，高希光，方光武，等. 2.5维C/SiC复合材料连续损伤本构模型[J]. 复合材料学报，2016，33(3)：606-612.

XUE Jiangang, GAO Xiguang, FANG Guangwu, et al. Continuum damage constitutive model of 2.5D C/SiC composites[J]. Acta Materiae Compositae Sinica, 2016, 33(3)：606-612.

[11] 阎锡东，刘红岩，邢闯锋，等. 基于微裂隙变形与扩展的岩石冻融损伤本构模型研究[J]. 岩土力学，2015(12)：3489-3499.

YAN Xidong，LIU Hongyan，XING Chuangfeng，et a1. Constitutive model research on freezing-thawing damage of rock based on deformation and propagation of microcracks [J].Rock and Soil Mechanics，2015(12)：3489-3499.

[12] LAI Yuanming，JIN Long，CHANG Xiaoxiao. Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil [J]. International Journal of Plasticity. 2009，25(6)：1177-1205.

[13] LENG Feng，WU Gang. A thermodynamics-based damage constitutive model of concrete [J]. European Journal of Environmental and Civil Engineering，2013，17(Suppl.1)：s83-s102.

[14] 廖红卫. 钢丝绳的疲劳行为特征与损伤机理研究 [D]. 武汉：武汉理工大学，2006.

LIAO Hongwei，Study on characteristics of fatigue behavior and failure mechanisms of steel wire ropes [D]. Wuhan University of Technology，2006.

[15] 沈为. 损伤力学[M]. 武汉：华中理工大学出版社，1995.

SHEN Wei. Damage mechanics[M]. Wuhan：Huazhong University of Science and Technology Press，1995.