2D Numerical Analysis of Cutting Circular Steel Bars with Negative Rake Angle Cutting Tools and Theoretical Calculation of Cutting Force Considering the Influence of Chip Accumulation

doi:10.3901/JME.2025.13.461

Abstract

Abstract: The cutting force of cutting steel bars with cutting tools is an important factor affecting the propulsion parameters of the shield tunneling when cutting existing pile foundation. This article mainly studies the cutting force during the first cutting process. Based on two-dimensional finite element analysis, the initial cutting stage of orthogonal cutting with negative rake angle tools is analyzed, and the slip surface mode is observed. Combined with existing slip line theory and shear-zone model, a calculation model for the cutting force of negative rake angle tools in the first cutting of two-dimensional circular sections is proposed under different cutting depth conditions, considering the influence of chip accumulation, and compared with numerical simulation results. The horizontal cutting force obtained from the calculation model in this article is close to the numerical simulation results, with maximum absolute error of 33.85%, average absolute error of 14.23%, but the vertical cutting force calculation error is relatively large, with maximum absolute error of 64.2%, average absolute error of 14.06%. Meanwhile, through comparative analysis, it was found that the influence of chip accumulation in the front of the tool has a significant impact on the calculation of horizontal cutting force, while the change in average stress on the slip line has a relatively small impact on the calculation of horizontal cutting force. The method proposed in this article can preliminarily estimate the horizontal force on the tool and provide a theoretical basis and ideas for the two-dimensional calculation model of cutting force of multiple cutting stage of cutting rebar with circle section using negative rake angle tools and other boundary conditions or three-dimensional force calculation model for cutting steel bars with shield cutter, but further research and improvements still are needed to reduce errors relative to numerical calculation results.

Key words: shield cutting, negative rake angle cutter, slip line, shear zone, 2D simulation, theoretical calculation

CLC Number:

U455

QIAO Shifan, FENG Chaobo, TAN Junkun, WANG Gang, LI Yang. 2D Numerical Analysis of Cutting Circular Steel Bars with Negative Rake Angle Cutting Tools and Theoretical Calculation of Cutting Force Considering the Influence of Chip Accumulation[J]. Journal of Mechanical Engineering, 2025, 61(13): 461-473.

References

[1] 陈海丰，袁大军，王飞，等. 盾构直接切削大直径桩基的掘削参数研究[J]. 土木工程学报，2016，49(10)：103-109. CHEN Haifeng，YUAN Dajun，WANG Fei，et al. Study on shield cutting parameters when cutting big diameter piles[J]. China Civil Engineering Journal，2016，49(10)：103-109.
[2] 杜欣，黄雪梅，郝岩，等. 盾构切削混凝土桥桩刀盘荷载分析[J]. 地下空间与工程学报，2021，17(6)：1742- 1750. DU Xin，HUANG Xuemei，HAO Yan，et al. Analysis on cutterhead load in shield cutting concrete bridge pile[J]. Chinese Journal of Underground Space and Engineering，2021，17(6)：1742-1750.
[3] WANG Gang，QIAO Shifan，LI Guyang，et al. Direct shield cutting of large-diameter reinforced concrete group piles：Case study on shenyang metro construction[J]. Case Studies in Construction Materials，2023，18：e01864.
[4] 吴东亮. 复杂地质条件下盾构切削建筑物桩基群影响分析[J]. 城市轨道交通研究，2021，24(5)：121-126. WU Dongliang. Analysis of influence of shield tunnel cutting building pile foundation groups under complicated geological conditions[J]. Urban Mass Transit，2021，24(5)：121-126.
[5] PENG Fei，MA Shiju，LI Mingyu，et al. Stress performance evaluation of shield machine cutter head during cutting piles under masonry structures[J]. Advances in Civil Engineering，2022，2022：4111637.
[6] XU Qianwei，ZHU Hehua，MA Xianfeng，et al. A case history of shield tunnel crossing through group pile foundation of a road bridge with pile underpinning technologies in shanghai[J]. Tunnelling and Underground Space Technology，2015，45：20-33
[7] ZHANG Chi，MA Shiju，GUO Yuancheng，et al. Shield cutting pile-group implementation effects on the superstructure[J]. Advances in Civil Engineering，2022，2022：4958566.
[8] WANG Xiaoyu，YUAN Dajun. Research on the interaction between the pile and shield machine in the process of cutting a reinforced concrete pile foundation[J]. Applied Sciences，2022，13(1)：245.
[9] 吴志峰，刘永胜，张杰，等. 盾构直接切除大直径桩基的试验与工程实践[J]. 隧道建设(中英文)，2020，40(S2)：280-288. WU Zhifeng，LIU Yongsheng，ZHANG Jie，et al. Experiment and engineering practice of directly removing large-diameter pile foundations by shield[J]. Tunnel Construction，2020，40(S2)：280-288.
[10] 唐仁，林本海，梁鹏. 盾构下穿住宅楼直接切桩的安全性研究[J]. 地下空间与工程学报，2019，15(S2)：878-883. TANG Ren，LIN Benhai，LIANG Peng. Study on the safety of shield passing through the residential building and directly cutting pile foundation[J]. Chinese Journal of Underground Space and Engineering，2019，15(S2)：878-883.
[11] 张建华，王宏伟，陈培新，等. 杭州地铁4号线盾构下穿电力隧道直接切桩沉降分析[J]. 工程力学，2022，39(S1)：144-152. ZHANG Jianhua，WANG Hongwei，CHEN Peixin，et al. Surface settlement analysis of shield passing through power tunnel and directly cutting pile foundation of hangzhou metro line 4[J]. Engineering Mechanics，2022，39(S1)：144-152.
[12] 杜闯东，张杰，唐纵雄. 盾构直接切削桩基施工关键技术[J]. 隧道建设(中英文)，2019，39(10)：1666-1677. DU Chuangdong，ZHANG Jie，TANG Zongxiong. Key technologies of shield direct cutting pile foundation[J]. Tunnel Construction，2019，39(10)：1666-1677.
[13] 王禹椋，李继超，廖少明. 深圳地铁9号线盾构切削群桩数值模拟与实测分析[J]. 隧道建设(中英文)，2017，37(2)：192-199. WANG Yuliang，LI Jichao，LIAO Shaoming. Numerical simulation and measured data analysis of pile group cutting by shield：A case study of running tunnel on line no. 9 of shenzhen metro[J]. Tunnel Construction，2017，37(2)：192-199.
[14] 王哲，吴淑伟，姚王晶，等. 盾构穿越既有桥梁桩基磨桩技术的研究[J]. 岩土工程学报，2020，42(1)：117-125. WANG Zhe，WU Shuwei，YAO Wangjing，et al. Grinding pile technology of shield tunnels crosssing pile foundation of existing bridges[J]. Chinese Journal of Geotechnical Engineering，2020，42(1)：117-125.
[15] WANG Yuqing，WANG Xinyu，Xiong Yangyang，et al. Full-scale laboratory test of cutting large-diameter piles directly by shield cutterhead[J]. Advances in Civil Engineering，2022，2022(1)：780927.
[16] 袁大军，王飞，董朝文，等. 盾构切削大直径钢筋混凝土桩基新型刀具研究[J]. 中国公路学报，2016，29(3)：89-97. YUAN Dajun，WANG Fei，DONG Chaowen，et al. Study on new-style cutter for shield cutting large-diameter reinforced concrete pile[J]. China Journal of Highway and Transport，2016，29(3)：89-97.
[17] 王飞. 盾构直接掘削大直径钢筋混凝土群桩研究[D]. 北京：北京交通大学，2014. WANG Fei. Study on shield cutting large diameter reinforced concrete piles directly[D]. Beijing：Beijing Jiaotong University，2014.
[18] 苏伟林，李兴高，许宇，等. 基于HJC模型的盾构刀具切削混凝土数值模拟[J]. 浙江大学学报，2020，54(6)：1106-1114. SU Weilin，LI Xinggao，XU Yu，et al. Numerical simulation of shield tool cutting concrete based on hjc model[J]. Journal of Zhejiang University，2020，54(6)：1106-1114.
[19] XU Ping，ZUO Sixian. Study on the jh-2 model parameters for metro shield cutting reinforced concrete pile[J]. Geotechnical and Geological Engineering，2021，39(7)：5267-5278.
[20] 李宏波. 盾构直接切削φ25 mm主筋钢筋混凝土桩基可行性研究[J]. 隧道建设(中英文)，2020，40(12)：1808-1816. LI Hongbo. Feasibility study on direct cutting of reinforced concrete pile foundation with φ25 mm main reinforced bar by shield[J]. Tunnel Construction，2020，40(12)：1808-1816.
[21] 王飞，袁大军，董朝文，等. 盾构直接切削大直径钢筋混凝土桩基试验研究[J]. 岩石力学与工程学报，2013，32(12)：2566-2574. WANG Fei，YUAN Dajun，DONG Chaowen，et al. Test study of shield cutting large-diameter reinforced concrete piles directly[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(12)：2566-2574.
[22] 王飞，袁大军，董朝文，等. 盾构直接切削大直径群桩的刀具配置研究[J]. 土木工程学报，2013，46(12)：127-135. WANG Fei，YUAN Dajun，DONG Chaowen，et al. Study on cutter configuration for directly shield cutting of large-diameter piles[J]. China Civil Engineering Journal，2013，46(12)：127-135.
[23] 许华国，陈馈，孙振川. 盾构刀盘切削钢筋混凝土桩基室内试验研究[J]. 隧道建设(中英文)，2020，40(1)：35-42. XU Guohua，CHEN Kui，SUN Zhenchuan. Laboratory test of reinforced concrete pile foundation cutting by shield cutterhead[J]. Tunnel Construction，2020，40(1)：35-42.
[24] 傅德明. 盾构切削混凝土模拟试验和切削桩基施工技术[J]. 隧道建设(中英文)，2014，34(5)：472-477. FU Deming. Model test on concrete cutting directly by shield and pile foundation cutting technology[J]. Tunnel Construction，2014，34(5)：472-477.
[25] HU Cheng，ZHUANG Keji，WENG Jian，et al. Thermal- mechanical model for cutting with negative rake angle based on a modified slip-line field approach[J]. International Journal of Mechanical Sciences，2019，164：105167.
[26] ALTAN E，EMIROĞLU U. New slip-line field model based on dead metal zone and material flow in negative rake orthogonal cutting[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering，2022，44(10)：445.
[27] OZTURK S，ALTAN E. Slip-line metal cutting model with negative rake angle[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering，2012，34(3)：246-252.
[28] MERCHANT M E. Mechanics of the metal cutting process. i. orthogonal cutting and a type 2 chip[J]. Journal of Applied Physics，1945，16(5)：267-275.
[29] LALWANI D I，MEHTA N K，JAIN P K. Extension of Oxley's predictive machining theory for Johnson and Cook flow stress model[J]. Journal of Materials Processing Technology，2009，209(12-13)：5305-5312.
[30] ZHOU Jinhua，REN Junxue. Predicting cutting force with unequal division parallel-sided shear zone model for orthogonal cutting[J]. The International Journal of Advanced Manufacturing Technology，2020，107：4201-4211.
[31] ZHOU Jinhua，REN Junxue，FENG Yazhou，et al. A modified parallel-sided shear zone model for determining material constitutive law[J]. The International Journal of Advanced Manufacturing Technology，2017，91：589-603.
[32] ROSA P A R，KOLEDNIK O，MARTINS P A F，et al. The transient beginning to machining and the transition to steady-state cutting[J]. International Journal of Machine Tools & Manufacture，2007，47(12-13)：1904-1915.
[33] WEINMANN K J，TURKOVICH B F V. Mechanics of tool-workpiece engagement and incipient deformation in machining of 70/30 Brass[J]. Journal of Engineering for Industry，1971，93(4)：1079-1089.
[34] 杨桂通. 弹塑性力学引论[M]. 北京：清华大学出版社，2013. YANG Guitong. Introduction to elasticity and plasticity[M]. Beijing：Tsinghua University Press，2013
[35] JIN Xiaoliang，ALTINTAS Y. Slip-line field model of micro-cutting process with round tool edge effect[J]. Journal of Materials Processing Technology，2011，211(3)：339-355.
[36] SHI B，ATTIA H，TOUNSI N. Identification of material constitutive laws for machining—part I：An analytical model describing the stress，strain，strain rate，and temperature fields in the primary shear zone in orthogonal metal cutting[J]. Journal of Manufacturing Science and Engineering，2010，132(5)：051008.