| ArticleName |
Minimization of dies volume using uniform distribution of hollows in the conditions of multi-cycle fatigue dependence on temperature |
| Abstract |
The research is devoted to development of a model of dies of optimized shape used in the field of metal forming. Use of solid-cast metal dies at the present stage of production requires large material resources, which makes it actual to develop dies models with minimal volume of material due to effective distribution of hollows in correspondence with the required strength resource. The dies mainly experience compressive non-uniform loading in the conditions of drawing and forming, which can lead to the accumulation of damages and lowering of its strength resource in the conditions of long-term operation of a die at high temperatures; therefore, the optimized area is represented in this work by alternating rod elements and hollows. The paper considers the problem of optimizing the volume of a metal die, presents a model for minimizing the die volume with restrictions on multi-cycle fatigue at various temperature conditions. The dependence between the volume of the optimized area and the number of loading cycles is obtained, taking into account the non-uniform loading of the die for axisymmetric forming. The main approach to reducing the die volume due to distribution of hollows was concluded in increase the stress state of the rod elements experiencing compressive stress to the limit values in accordance with the restriction on multi-cycle fatigue. The number of elements providing the required die stress state is calculated for different temperature conditions and preset geometrical parameters of the rod elements. When calculating the configuration of the optimized die area for axisymmetric forming, experimental curves of dependence between stress state and number of cycles for 12Kh1MF1 steel were considered at the constant temperature. The variants of the material distribution in the internal die area at preset temperatures are presented. Reduction of the optimized die volume was compared with a solid cast die. The constructed mathematical model and the results of calculation of the optimized die volume will significantly reduce the material costs for production of metal forming dies and can be used for further development of the methods for topological optimization of stamping tools, taking into account the features and duration of power and thermal loading.
The research was carried out under financial support of the Russian Foundation for Basic Research within the framework of the scientific project No. 19-38-60020\19 “Development of optimization model for dies of stamping accessories via the method of efficient material redistribution”. |
| References |
1. Diao,Xi-lia, Li Xin-wei, Wu Ming-qing. Carbon Steel Stamping Die Heat Treatment Process Analysed. 2nd International Conference on Education, Shanghai, China, Economics and Information Management, 2021. pp.572-576. DOI: 10.12783/dtem/eeim2020/35264.
2. Yang Wen, Peng Kaiyu, Zhang Lifeng, Ren Qiang. Deformation and fracture of non-metallic inclusions in steel at different temperatures. Journal of Materials Research and Technology. 2020. No. 9. pp. 15016-15022. DOI: 10.1016/j.jmrt.2020.10.066.
3. Mamarv V. B., Kochetkov V. A., Pervov M. L. Dimensional resistance of deformed refractory alloys used as die materials for isothermal stamping. Kuznechno-shtampovochnoe proizvodstvo. Obrabotka materialov davleniem. 2006. No. 8. pp. 52-55.
4. Sablin P. A., Shchetinin V. S. Height of micro-roughness and roughness parameters – complex quality evaluation for processed surface. Uchenye zapiski Komsomolskogo-na-Amure gosudarstvennogo tekhnicheskogo universiteta. 2020. No. 7 (47). pp. 90-94.
5. Petrov A. N. Prediction of resistance of hot deformation dies based on selection of optimal colloid-graphite lubricants. Zagotovitelnye proizvodstva v mashinostroenii. 2012. No. 7. pp. 26-28.
6. Bogdan M., Błachnio J., Spychała J., Zasada D. Assessment of usability of the exploited gas turbine blade heat-resistant coatings. Engineering Failure Analysis. 2019. Vol. 105. pp. 11-16. DOI: 10.1016/j.engfailanal.2019.07.016.
7. Andrianov I., Stankevich A. The stress-strain state simulation of the aircraft fuselage stretch forming in the ANSYS. Journal of Physics: Conference Series. 2019. Vol. 1333. p. 082002. DOI: 10.1088/1742-6596/1333/8/082002.
8. Berezin D. T. Evaluation of materials availability for dies and moulds using thermal resistance criteria and the method of rank correlation analysis. Simvol nauki: mezhdunarodnyi nauchnyi zhurnal. 2016. No. 1-2 (13). pp. 29-33.
9. Andrianov I. K., Stankevich A. V. Finite-Element Model of the Shell-Shaped Half-Pipes Forming for Blanks Behavior Investigating During Corrugating at the Stamping. International science and technology conference EASTCONF, Vladivostok, 01-02 March 2019. pp. 1-3. DOI: 10.1109/EastConf.2019.8725322.
10. Andrianov I. K. Mathematical Model of Optimal Stamp Topology Based on the Stability Criterion. International Multi-Conference on Industrial Engineering and Modern Technologies, Vladivostok, FarEastCon 2020. pp. 1-4. DOI: 10.1109/FarEast-Con50210.2020.9271408.
11. Mukhametzyanova G. F. Determination of temperature and power stresses in “autoforge” dies for simulation of tests aimed on materials workability. Metallurgiya mashinostroeniya. 2017. No. 3. pp. 41-44.
12. Zayar Soe Kyaw, Feoktistov S. Identification of limiting deep drawing ratio using the energy criterion of fracture. IOP Conference Series: Materials Science and Engineering. 2019. Vol. 652 (1). p. 12041. DOI: 10.1088/1757-899X/652/1/012041.
13. Feoktistov S. I., Zayar Soe Kyaw. Identification for Technological Capabilities of Titanium and Aluminum Alloys in Deep Drawing Process. Solid State Phenomena. 2020. Vol. 299. pp 628-633. DOI: 10.4028/www.scientific.net/SSP.299.628.
14. Dobrovolskiy V. I., Pryakhin V. V. Durability of dies materials and components at non-stationary thermomechanical low-cycle loading. Prochnost i zhivuchest konstruktsiy. Proceedings of All-Russian scientific-technical conference. Vologda State Technical University, 1993. pp. 110-111.
15. Dobrovolskiy V. I., Pryakhin V. V. Methods of tests and calculations on low-cycle strength of materials and components of forging dies. In collection: Calculation and management on reliability of large mechanical systems. Information materials of the Ninth All-Union School. Edited by Timashev S. A. 1991. pp. 100-101.
16. Andrianov I. K. Modeling of Forming Die Under Cyclic Loading Conditions. International Multi-Conference on Industrial Engineering and Modern Technologies, FarEastCon. Vladivostok. 2020 pp. 1-4. DOI: 10.1109/FarEastCon50210.2020.9271120.
17. Soe K. Z., Feoktistov S. I. Method for construction of forming limit diagram by using reference mechanical characteristics of metal. Materials Science Forum. 2018. Vol. 945. pp. 833–838.
18. Jiang Q., Zhao H., Yang H. Numerical Simulation of the Thermomechanical Behavior of a Hot Stamping Die. Strength of Materials. 2018. No. 50. pp. 1-4. DOI: 10.1007/s11223-018-9950-4.
19. Yamamoto T. Topology Optimization of Stamping Die. Journal of the Japan Society for Technology of Plasticity. 2012. No. 53. pp. 317-320. DOI: 10.9773/sosei.53.317.
20. Hamasaki H., Nakazono M., Hino R., Yoshida F., Manabe H., Kondo H., Toropov V. Stiffness Improvement of Stamping Die by Means of Topology Optimization. Advanced Materials Research. 2014. No. 939. pp. 266-273. DOI: 10.4028/www.scientific.net/AMR.939.266.
21. Andrianov I. K., Belykh S. V. The Finite Element Simulation of the Stamping Die Optimal Topology. International science and technology conference EASTCONF 2019, Vladivostok, 01-02 March 2019. p. 8725410, DOI: 10.1109/EastConf.2019.8725410.
22. Andrianov I. K. Modeling of Effective Material Distribution of Stamping Equipment in Forming Processes. International science and technology conference EASTCONF 2019, Vladivostok, October 2019. p. 8933949. DOI: 10.1109/FarEastCon.2019.8933949.
23. Kawa∤ek A., Ozhmegov K.V., Dyja H. Variations of the rheological properties of steel in the plate rolling process conditions. CIS Iron and Steel Review. 2020. Vol. 19. pp. 37-43.
24. Pestrikov V. M., Morozov E. M. Mechanics of destructions. St. Petersburg. Professiya. 2012. 552 p. |
Minimization of dies volume using uniform distribution of hollows in the conditions of multi-cycle fatigue dependence on temperature
