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Numerical Simulation of the Surface Hardening of a Half Space Under Pulsed Thermal Loading with Regard for the Dependences of Inelastic Characteristics on the Phase Composition of the Material

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On the basis of numerical modeling, we consider the stress-strain state of a half space with microstructural transformations under pulsed thermal loading. As a material, we choose 35KhMA steel. To describe the nonlinear behavior of the material, we use the Bodner–Partom model of flow generalized to the case of the multiphase composition of the material. The parameters of the model K0 and K1 corresponding to the yield strength σ02 and the ultimate strength of the material σu depend on the phase composition. The problem is solved numerically by the method of step-by-step implicit time integration, iterative method, and finite-element method. We establish the qualitative and quantitative estimates of the stress-strain state and hardening of the material that take into account the dependences of inelastic characteristics on the phase composition of the material.

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Correspondence to N. D. Yakovenko.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 4, pp. 128–138, October–December, 2020.

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Yakovenko, N.D., Senchenkov, І.K. Numerical Simulation of the Surface Hardening of a Half Space Under Pulsed Thermal Loading with Regard for the Dependences of Inelastic Characteristics on the Phase Composition of the Material. J Math Sci 273, 1039–1050 (2023). https://doi.org/10.1007/s10958-023-06563-2

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