Prediction of temperature-dependent mechanical behavior of metals based on thermodynamic strength and deformation theory
摘要
The mechanical properties of metals are of paramount importance to the reliability and safety of engineering applications, with temperature being a critical factor influencing their behavior. Understanding and predicting their temperature-dependent mechanical behavior is crucial for ensuring safety and efficiency in advanced engineering applications. Most existing temperature-dependent constitutive models are empirical, with parameters that lack physical meaning and limited applicability. Here, we present an application of the thermodynamic strength and deformation theory (TST&TDT) to model the mechanical behavior of metals in a wide temperature range. First, by modeling the plastic deformation process as a diffusion process of the system's state, we establish the relationship between plastic deformation resistance and temperature. Then, within the TST&TDT framework, we develop a plastic instability criterion and derive governing equations for solving plastic deformation that accounts for temperature effects. Finally, using the developed model, we predict the initial yield strength, stress–strain relationships, and plastic instability strength under complex loading conditions for metals, including medium-entropy alloys, at various temperatures. Our theoretical predictions are validated against experimental results, demonstrating high accuracy and reliability. This thermodynamic-based study not only provides a new perspective for understanding the temperature-dependent mechanical behavior of metals but also offers theoretical guidance for the design and optimization of engineering structures.