Research on crack propagation law of rotating bending fatigue cropping process based on cusp catastrophe theory

Xu, Jianmin; Zhou, Qiang; Tao, Jishao; Sun, Xudong; Zhao, Qing; Fu, Shulin; Yang, Ning; Guo, Wenyue; Zhang, Lijun

doi:10.1016/j.tafmec.2021.103235

Cited by 8 publications

(2 citation statements)

References 10 publications

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“…Catastrophe theory, proposed by the French mathematician René Thom, combines topology, singularity theory, and structural stability theory to represent a theoretical model for analyzing sudden and discontinuous phenomena in the development of dynamic systems [27]. Catastrophe theory is widely applied in various fields of emergency research, safety, and performance evaluations, such as control of biological populations [28], evaluations of utilization of water resources [29,30], environmental risk assessments of engineering [31][32][33], evaluation of economic competitiveness [34], and research on material performance [35,36]. In addition, catastrophe theory has also been applied to safety evaluations in the field of transportation [37,38].…”

Section: Methodology 41 Catastrophe Theorymentioning

confidence: 99%

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Chen,

Ma,

et al. 2023

Sustainability

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When urban rail transit is affected by interference, the fluctuation pattern of passenger flow undergoes mutation, which is not conducive to its operational safety and sustainable development. The more intense the mutation in the passenger flow, the greater the impact on the network and operations. Therefore, it is necessary to measure and evaluate the mutation degree of the urban rail transit passenger flow. In this study, we clarify the definition of the mutation degree of urban rail transit passenger flow and construct an evaluation index system for the mutation degree of passenger flow from two dimensions: horizontal mutation amplitude and vertical mutation amplitude. Based on the catastrophe theory, an evaluation model of the mutation degree was constructed. Using this evaluation method, abbreviated as CDCT, the level division of the mutation degree at different time intervals under different interference scenarios can be obtained, achieving a dynamic evaluation of the mutation degree of passenger flow. Finally, taking the passenger flow data of the Suzhou rail transit as an example, the mutational fluctuation of passenger flow affected by interference is analyzed, and the evaluation results of the mutation degree of passenger flow are obtained. The analysis results show that the CDCT evaluation method can better reflect the dynamic changes in the mutation degree throughout the process under the influence of the mutational passenger flow.

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Section: Methodology 41 Catastrophe Theorymentioning

confidence: 99%

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Chen,

Ma,

et al. 2023

Sustainability

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“…Zhong [7][8] developed a pneumatic bending fatigue LSC system, and studied the reasonable load control curve by the linear elastic fracture mechanics theory. Xu [9] investigated the cross-section quality of the rotary bending LSC method using the extended finite element method(XFEM) and catastrophic theory.Zhang [10] studied the critical crack initiation load of hydraulically compensated LSC method by using the stress concentration factor and XFEM.Although many new LSC methods have been proposed [11][12] , it is difficult to realise the industrialisation of this cropping technology, mainly because the mechanism of this cropping method mostly adopts the equivalent treatment of the crack propagation mechanism, without consideration of the damage accumulation of material internal defect. Therefore, it is of great significance to study the fracture separation mechanism of LSC based on the damage evolution theory of material internal defect in order to obtain cross-section with near-net quality.…”

mentioning

confidence: 99%

Research on damage evolution and fracture prediction in hydraulic continuous rotary bending low-stress cropping

Zhong,

Hou,

et al. 2023

Preprint

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Due to the complexity of the near-net shape forming mechanism in the low-stress cropping(LSC) process, it is a challenge to accurately predict the process of fracture separation. A shear modified GTN model is proposed to study the fracture mechanism of hydraulic continuous rotary bending low-stress cropping(HCRB-LSC), and is applied to simulate the material damage evolution and predict the fracture behaviour of HCRB-LSC. Moreover, the rationality and validity of simulation results are verified by precision cropping experiments. Combined with the proposed evaluation method and evaluation index of the cross-section, the quality of cross-section obtained by cropping is quantitatively evaluated. It is found that this cropping method could increase the accuracy of the cross-section and the efficiency of cropping, and could efficiently achieve reasonable sectional accuracy and flatness at 8mm loading position. Precise prediction of near-net-shape forming damage evolution and fracture in HCRB-LSC provides an important basis for subsequent optimization of the precision cropping process.

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Effect of symmetrical position notching on cracking and cross-section quality of thick-walled metal tube under low-stress cropping

Liu

Yang

et al. 2022

Int J Adv Manuf Technol

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Research on crack propagation law of rotating bending fatigue cropping process based on cusp catastrophe theory

Cited by 8 publications

References 10 publications

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Research on damage evolution and fracture prediction in hydraulic continuous rotary bending low-stress cropping

Effect of symmetrical position notching on cracking and cross-section quality of thick-walled metal tube under low-stress cropping

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