Abstract
This work is aimed at studying material with a heterogeneous microstructure. The probabilistic characteristics of the yield surface are investigated. Statistically equivalent internal material structures are generated using computer simulations. The design takes into account the different amounts of spheroidal graphite inclusions concentration in the ferrite material. The stress state is calculated by the finite element method based on plane models. A series of experiments is calculated for each variant of the concentration of inclusions. The yield surfaces are determined. Based on the collected data, a study of the probabilistic characteristics of a random function is carried out. The radius function acts as a random variable. The number of intersections of the line with the yield surfaces is analyzed. The radii are constructed from the origin for each rotation angle along the closed circle. The proposed scheme takes into account the different behavior of composite materials under tensile and compressive loads. The probabilistic characteristics of the investigated quantity give a vision of the material operation modes at various loads. Going beyond the plasticity surface indicates the possibility of a product transition into a plastic state.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Lvov, G., Kostromytska, O.: A data-driven approach to the prediction of plasticity in composites. In: Nechyporuk, M., et al. (eds) Integrated Computer Technologies in Mechanical Engineering. AISC, vol. 1113, pp. 3–10. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-37618-5_1
Amir Siddiq, M.: Data-driven finite element method: theory and applications. In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (2020). https://doi.org/10.1177/0954406220938805
Shah, D., Murthi, B.P.S.: Marketing in a data-driven digital world: implications for the role and scope of marketing. J. Bus. Res. (2020). https://doi.org/10.1016/j.jbusres.2020.06.062
Barmparis, G.D., Tsironis, G.P.: Estimating the infection horizon of COVID-19 in eight countries with a data-driven approach. Chaos Solitons Fractals 135, 109842 (2020). https://doi.org/10.1016/j.chaos.2020.109842
Bessa, M., Bostanabad, R., Liu, Z., et al.: A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality. Comput. Methods Appl. Mech. Eng. 320, 633–667 (2017). https://doi.org/10.1016/j.cma.2017.03.037
Latypov, M.I., Kalidindi, S.R.: Data-driven reduced order models for effective yield strength and partitioning of strain in multiphase materials. J. Comput. Phys. 346, 242–261 (2017). https://doi.org/10.1016/j.jcp.2017.06.013
Chan, K.S.: Effects of plastic anisotropy and yield surface shape on sheet metal stretchability. Metall. Trans. A 16(4), 629 (1985). https://doi.org/10.1007/BF02814237
Wu, B., Wang, H., Taylor, T., Yanagimoto, J.: A non-associated constitutive model considering anisotropic hardening for orthotropic anisotropic materials in sheet metal forming. Int. J. Mech. Sci. 169, 105320 (2020). https://doi.org/10.1016/j.ijmecsci.2019.105320
Lu, D., Zhang, K., Hu, G., et al.: Investigation of yield surfaces evolution for polycrystalline aluminum after pre-cyclic loading by experiment and crystal plasticity simulation. Materials 13(14), 3069 (2020). https://doi.org/10.3390/ma13143069
Tang, S., Li, Y., Qiu, H., et al.: MAP123-EP: a mechanistic-based data-driven approach for numerical elastoplastic analysis. Comput. Methods Appl. Mech. Eng. 364, 112955 (2020). https://doi.org/10.1016/j.cma.2020.112955
Zhang, H., Diehl, M., Roters, F., Raabe, D.: A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations. Int. J. Plast. 80, 111–138 (2016). https://doi.org/10.1016/j.ijplas.2016.01.002
Banabic, D., Barlat, F., Cazacu, O., Kuwabara, T.: Advances in anisotropy and formability. Int. J. Mater. Form. 3(3), 165–189 (2010). https://doi.org/10.1007/s12289-010-0992-9
Larin, A.A., Vyazovichenko, Y.A., Barkanov, E., Itskov, M.: Experimental investigation of viscoelastic characteristics of rubber-cord composites considering the process of their self-heating. Strength Mater. 50(6), 841–851 (2018). https://doi.org/10.1007/s11223-019-00030-7
Larin, O., Potopalska, K., Mygushchenko, R.: Statistical estimation of residual strength and reliability of corroded pipeline elbow part based on a direct FE-simulations. J. Serb. Soc. Comput. Mech. 12(1), 80–95 (2018). https://doi.org/10.24874/jsscm.2018.12.01.06
Shapovalova, M., Vodka, O.: Image microstructure estimation algorithm of heterogeneous materials for identification their chemical composition. In: 2019 IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON), pp. 975–979. IEEE, Lviv (2019). https://doi.org/10.1109/UKRCON.2019.8879861
Shapovalova, M., Vodka, O.: Computer methods for constructing parametric statistically equivalent models of high-strength cast iron microstructure to analyze its elastic characteristics. Notes of the V.I. Vernadsky Tavrida National University. Ser. Tech. Sci. 30(6), 179–187 (2019). https://doi.org/10.32838/2663-5941/2019.6-1/33 [in Ukrainian]
Shapovalova, M., Vodka, O.: Computer methods for modeling the synthetic structure of cast iron for statistical evaluation of its mechanical properties and strength characteristics. Theoret. Appl. Mech. 35, 257–264 (2020). [in Russian]
Annin, B., Ostrosablin, N.: Anisotropy of the elastic properties of materials. Appl. Mech. Tech. Phys. 49(6), 131–151 (2008). [in Russian]
Beliaev, N.: Strength of Materials. Nauka, Moscow (1965). [in Russian]
Ambatsumian, S.: Theory of Anisotropic Plates. Nauka, Moscow (1967). [in Russian]
Zienkiewicz, O.: The Finite Element Method in Engineering Science. McGraw-Hill, London (1971)
Acknowledgment
This work has been supported by the Ministry of Education and Science of Ukraine in the framework of the realization of the research project «Development of methods for mathematical modeling of the behavior of new and composite materials aims to structural elements lifetime estimation and prediction of engineering designs reliability» (State Reg. Num. 0117U004969).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Shapovalova, M., Vodka, O. (2021). A Data-Driven Approach to the Prediction of Spheroidal Graphite Cast Iron Yield Surface Probability Characteristics. In: Nechyporuk, M., Pavlikov, V., Kritskiy, D. (eds) Integrated Computer Technologies in Mechanical Engineering - 2020. ICTM 2020. Lecture Notes in Networks and Systems, vol 188. Springer, Cham. https://doi.org/10.1007/978-3-030-66717-7_48
Download citation
DOI: https://doi.org/10.1007/978-3-030-66717-7_48
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-66716-0
Online ISBN: 978-3-030-66717-7
eBook Packages: EngineeringEngineering (R0)