THERMOPLASTIC PROBLEMS

Omonboyev Abdulxakim G‘ayratbek o‘g‘li

Authors

Omonboyev Abdulxakim G‘ayratbek o‘g‘li National University of Uzbekistan named after Mirzo Ulugbek, 2nd stage master's student. Author

Keywords:

Thermoplastic modeling, One-dimensional thermoplasticity, Deformation under the influence of temperature, Thermal stress analysis, Numerical methods (numerical methods), Finite Element Method (FEM), Theory of plasticity, Thermal-mechanical issues, Coefficient of temperature-dependent expansion, Discretization methods.

Abstract

This thesis aims to investigate one-dimensional thermoelastic and thermoplastic problems by developing numerical models to analyze the effects of temperature and mechanical stress on material behavior. The study distinguishes between thermoelastic and thermoplastic theories, focusing on how materials behave under varying temperature conditions and mechanical loads. The numerical solutions are derived using finite difference methods (FDM) and finite element methods (FEM), providing insights into temperature distribution and deformation profiles over time. The results demonstrate that thermoelastic models exhibit only reversible deformations, while thermoplastic models show irreversible plastic deformations when stress exceeds a critical threshold. The developed models are applicable in engineering disciplines such as automotive, aerospace, and material science for evaluating the structural integrity of materials under high thermal and mechanical stresses.