Method of calculation of optimal annealing modes of functionally gradient bodies

Keywords

thermal stress state, body of rotation, functional-gradient material, finite element method, hollow cylinder, optimization modes.

Cite as

Stashchuk M. H., Drobenko B. D., and Irza Ye. M. Method of calculation of optimal annealing modes of functionally gradient bodies. Physico­chemical Mechanics of Materials. 2022. 58(4), 020-025.

Abstract

The problem of calculating the optimal annealing modes of functional-gradient bodies is proposed. An original method of its numerical solution based on the principle of stepwise parametric optimization has been developed. Use of the finite element method to solve direct problems in the process of iterative construction of optimal heating-cooling modes makes it possible to solve a wide class of problems for bodies of complex geometric shape and structure. The search for the optimal value of the control function does not require zero approximation in time and at each time step the function of one variable can be minimized.

References

1. R. M. Kushnir, V. S. Popovych, and A. V. Yasinskyi, “Optimization and Identification in Thermomechanics of Heterogeneous Bodies,” Vol. 5 in: Ya. Yo. Burak (editor), Modeling and Ioptimization in Thermomechanics[in Ukrainian], Spolom, Lviv (2011).
2. M. H. Stashchuk, and E. M. Irza, “Thermal stressed states of the bodies of revolution made of functionally graded materials,” Mater. Sci., 55, No. 3, 311–319 (2019).
3. M. H. Stashchuk, and Ye. M. Izra, “Thermal stresses in functionally graded bodies subjected to annealing,” Mater. Sci., 57, No. 4, 511–519 (2021).
4. O. C. Zienkiewicz, and R. L. Taylor, Finite Element Method: Vol. 1. The Basis, Butterwoth Heinemann, London (2000).
5. M. H. Stashchuk, and Ye. M. Irza “Optimization of the modes of heat treatment of structural elements made of functionally graded materials,” Mater. Sci., 56, No. 1, 106–111 (2020).
6. L. Ivas’kevich, G. Maksimovich, V. Kholodnyi, V. Belov, I. Tretyak, and T. Slipchenko, “Influence of gaseous hydrogen on the strength and plasticity of high-temperature strength nickel alloys,” Sov. Mater. Sci., 20, No. 3, 252–255 (1984).
7. F. Qin, O. Hembara, and O. Chepil, “Modeling of the influence of hydrogen on the bearing ability of elements of the powergenerating equipment under the conditions of temperature creep,” Mater. Sci., 53, No. 4, 532–540 (2018).