Development of a stochastic model of failure of structural materials in creep at hardening stage

Authors

  • Ivan Doyar Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine (ITM, NASU&SSAU) 15 Leshko-Popelya str., Dnipropetrovsk, Ukraine, 49005, Ukraine https://orcid.org/0000-0002-6343-8945
  • Volodymyr Poshyvalov Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine (ITM, NASU&SSAU) 15 Leshko-Popelya str., Dnipropetrovsk, Ukraine, 49005 E-mail: vposhivalov@gmail.com, Ukraine https://orcid.org/0000-0003-4782-5942

DOI:

https://doi.org/10.15587/1729-4061.2016.69653

Keywords:

failure, isothermal creep, material damage, time to failure, probability distribution

Abstract

The results of research of patterns of long-term failure of metals and alloys in isothermal creep considering all its stages are presented.

The approach to prediction of long-term strength characteristics of structural materials in isothermal creep under uniaxial steady load is proposed. This approach is original in the probabilistic interpretation of kinetic equations describing the creep, as well as a variety of failure criteria and their relative characteristics.

Using the experimental creep curves, the adequate stochastic model was constructed and the method of identification of unknown constants of the model was developed.

The calculations of basic probability characteristics of the time to failure on the example of experimental data for PA6 aluminum alloy specimens at various stress and temperatures levels were carried out.

According to the research, it is enough to use the quadratic dependencies as dependencies of distribution parameters of random variables a and b, as well as the parameters c and g on the stress and temperature. The choice of the type of dependencies of higher degrees has little impact on calculation results.

The proposed model can be used for prediction of the time to failure of various structural materials, as well as the development of methods, standards and guidelines in the field of reliability and durability assessment of structural materials.

Author Biographies

Ivan Doyar, Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine (ITM, NASU&SSAU) 15 Leshko-Popelya str., Dnipropetrovsk, Ukraine, 49005

Junior Researcher

Volodymyr Poshyvalov, Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine (ITM, NASU&SSAU) 15 Leshko-Popelya str., Dnipropetrovsk, Ukraine, 49005 E-mail: vposhivalov@gmail.com

Doctor of Technical Science, Professor, Leading Researcher

References

  1. Rabotnov, Yu. N. (1966). Creep of Structural Members. Moscow: Nauka, 752.
  2. Samarin, Yu. P. (1974). Applications of Stochastic Equations for Theory of Materials Creep. Izv. AN SSSR. MTT, 1, 88–94.
  3. Bolotin, V. V. (1984). Prediction of Life of Machines and Structures. Moscow: Mashinostroyenie, 312.
  4. Radchenko, V. P., Shershneva, M. V., Kubyshkina, S. N. (2012). Assessment of Reliability of Structural Members in Creep Based on Stochastic Generalized Models. Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 3 (28), 53–71.
  5. Kulik, N. S., Kucher, A. G., Miltsov, V. Ye. (2010). Probability Analysis of Processes of Accumulation of Failures by the Action of Static and Cyclic Loads. Vestnik Natsionalnogo Aviatsionnogo Universiteta, 1, 5–39.
  6. Krivenyuk, V. V.; Troshchenko, V. T. (Ed.) (2012). Prediction of High-Temperature Creep and Long-Term Strength. Strength of Materials and Structures. Vol. 5. Kiev: Pisarenko’s Institute for Problems of Strength, NASU, 752.
  7. Lv, Y., Huang, Y., Kong, M., Yang, J., Yang, Q., Li, G. (2014). Creep lifetime prediction of polypropylene/clay nanocomposites based on a critical failure strain criterion. Composites Science and Technology, 96, 71–79. doi: 10.1016/j.compscitech.2014.03.011
  8. Nowak, K. (2013). Dependence of creep failure probability on the size of metallic specimens. Acta Mechanica et Automatica, 7 (3), 166–169. doi: 10.2478/ama-2013-0028
  9. Nowak, K. (2014). Time to Failure Size Effect for Tensile Creep Specimens. Key Engineering Materials, 627, 185–188. doi: 10.4028/www.scientific.net/kem.627.185
  10. Cuesta, I. I., Lorenzo, M., Alegre, J. M. (2014). Response surface application for estimating failure time and other creep properties using the Small Punch Creep Test. Engineering Failure Analysis, 45, 49–58. doi: 10.1016/j.engfailanal.2014.06.023
  11. Spathis, G., Kontou, E. (2012). Creep failure time prediction of polymers and polymer composites. Composites Science and Technology, 72 (9), 959–964. doi: 10.1016/j.compscitech.2012.03.018
  12. Amitrano, D., Helmstetter, A. (2006). Brittle creep, damage, and time to failure in rocks. Journal of Geophysical Research: Solid Earth, 111 (B11). doi: 10.1029/2005jb004252
  13. Wang, Z. (2014). Method for Calculating the Life Probability Distribution Characteristic of Mechanical Components Based on the Failure Behavior. Journal of Mechanical Engineering, 50 (12), 192. doi: 10.3901/jme.2014.12.192
  14. Zhao, J., Zhang, X. (2001). On the process zone of a quasi-static growing tensile crack with power-law elastic-plastic damage. Intern. J. of Fracture, 108, 383–395.
  15. Kim, E.-H., Rim, M.-S., Lee, I., Hwang, T.-K. (2013). Composite damage model based on continuum damage mechanics and low velocity impact analysis of composite plates. Composite Structures, 95, 123–134. doi: 10.1016/j.compstruct.2012.07.002
  16. Kowalewski, Z. L. (2005). Creep analysis of M1E copper and PA6 aluminum alloy subjected to prior plastic deformation. Journal of theoretical and applied mechanics, 43, 2, 241–256.
  17. Lokoshchenko, A. M. (2015).Creep and long-term strength of metals. Moscow: FIZMATLIT, 495.
  18. Gorash, Ye. N., Lysenko, S. V., Lvov, G. I. (2006). Non-Isothermic Creep and Failure of Steam Turbine Members. Vestnik NTU “KhPI”. Transactions: Dynamics and Strength of Machines, 21, 75–88.
  19. Shesterikov, S. A. (Ed.) (1983). Regularities of Creep and Long-Term Strength. Moscow: Mashinostroyenie, 101.
  20. Doyar, I. A. (2014). Estimation of time to failure of structural materials under creep. Visnyk of Dnipropetrovsk University. Mechanics, 22 (4), 172–179.

Downloads

Published

2016-06-15

How to Cite

Doyar, I., & Poshyvalov, V. (2016). Development of a stochastic model of failure of structural materials in creep at hardening stage. Eastern-European Journal of Enterprise Technologies, 3(5(81), 25–31. https://doi.org/10.15587/1729-4061.2016.69653

Issue

Vol. 3 No. 5(81) (2016): Applied physics. Materials Science

Section

Materials Science

License

Copyright (c) 2016 Ivan Doyar, Volodymyr Poshyvalov

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.