Skip to main content
Log in

Optimization of the Modes of Heat Treatment of Structural Elements Made of Functionally Graded Materials

  • Published:
Materials Science Aims and scope

We propose a procedure of control over the speed of response of thermal conditions in the case of thermal loading of the bodies of revolution made of functionally graded materials. The construction of solutions of the analyzed problems is based on numerical methods. To solve direct problems, we use the method of weighed residuals and the finite-element method. The solution of the posed extreme problem is based on the principle of step-by-step parametric optimization.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

Similar content being viewed by others

References

  1. R. M. Kushnir, V. S. Popovych, and A. V. Yasins’kyi, Optimization and Identification in the Thermomechanics of Inhomogeneous Bodies [in Ukrainian], Vol. 5, Spolom, Lviv (2011).

  2. S. M. Aizikovich, V. M. Aleksandrov, A. S. Vasil’ev, L. I. Krenev, and I. S. Trubchik, Analytic Solution of Mixed Axisymmetric Problems for Functionally Graded Media [in Russian], Fizmatlit, Moscow (2011).

  3. A. Kawasaki and R. Watanabe, “Thermal fracture behavior of metal/ceramic functionally graded materials,” Eng. Fract. Mech., No. 69, 1713–1728 (2002).

  4. O. E. Andreikiv and O. V. Gembara, “Destructive effect of hydrogen on the strength of materials in nonstationary temperature fields,” Fiz.-Khim. Mekh. Mater., 32, No. 4, 31–35 (1996); English translation: Mater. Sci., 32, No. 4, 411–416 (1996).

  5. M. H. Stashchuk, “Influence of external loads on the redistribution of hydrogen in the metal near stress concentrators,” Fiz.-Khim. Mekh. Mater., 47, No. 6, 23–29 (2011); English translation: Mater. Sci., 47, No. 6, 737–745 (2012).

  6. M. H. Stashchuk and M. I. Dorosh, “Analytical evaluation of hydrogen-induced stress in metal,” Int. J. Hydrogen Energy, 42, No. 9, 6394–6400 (2017).

    Article  CAS  Google Scholar 

  7. M. H. Stashchuk and E. M. Irza, ”Thermal stressed states of the bodies of revolution made of functionally graded materials,” Fiz.- Khim. Mekh. Mater., 55, No. 3, 16–23 (2019); English translation: Mater. Sci., 55, No. 3, 311–319 (2019).

  8. O. C. Zienkiewicz and R. L. Taylor, Finite-Element Method. The Basis, Vol. 1, Butterworth-Heinemann, London (2000).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. H. Stashchuk.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 56, No. 1, pp. 101–105, January–February, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Stashchuk, M.H., Irza, E.M. Optimization of the Modes of Heat Treatment of Structural Elements Made of Functionally Graded Materials. Mater Sci 56, 106–111 (2020). https://doi.org/10.1007/s11003-020-00403-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-020-00403-3

Keywords

Navigation