A UNIFIED ANALYTICAL MODEL FOR DEFORMATION RESISTANCE OF METAL UNDER THERMOPLASTIC PROCESSING CONDITIONS

V. Tsyganov; S. Sheyko; O. Hrechanyі; T. Vasilchenko; A. Hrechana

doi:10.31489/2026N2/13-21

Authors

DOI:

https://doi.org/10.31489/2026N2/13-21

Keywords:

deformation resistance, thermoplastic processing, plasticity theory, tribological contact, surface layer damage

Abstract

A unified analytical framework is developed to describe the deformation resistance of metals under thermoplastic processing conditions. The proposed approach is based on the Hansel-Spittel constitutive equation and establishes a direct relationship between yield stress and the key thermomechanical parameters of deformation, including strain, strain rate, and temperature. An analytical solution of the spatial plasticity problem is obtained using harmonic functions, enabling the determination of stress intensity at any point within the deformation zone. The formulation integrates the Huber-Mises plasticity criterion with frictional and geometric factors, resulting in a closed-form expression that links the local stress strain state to process parameters. The model accounts for non-uniform and multi-stage deformation characteristic of rolling and contact loading processes. Its applicability is demonstrated for thermoplastic loading of surface layers in tribological contacts, where deformation resistance plays a decisive role in wear and fatigue damage accumulation. The developed analytical model provides an efficient tool for predicting energy-force parameters and assessing surface layer behavior under complex thermomechanical loading. The proposed framework can be directly applied in engineering calculations, process optimization, and the design of metal forming and tribological systems.

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A UNIFIED ANALYTICAL MODEL FOR DEFORMATION RESISTANCE OF METAL UNDER THERMOPLASTIC PROCESSING CONDITIONS