Phase-Field Theory for Thermal Stress Evolution in Steelmaking Refractories

We present a novel theoretical framework addressing the "anisotropic thermal stress accumulation problem" in multi-phase refractory materials used in steelmaking applications. The theory introduces Thermal Stress Phase Transitions (TSPT), which explains previously anomalous failure modes through phase-field dependent thermal expansion and fractal microcrack growth dynamics. Mathematical proofs establish that conventional isotropic models underestimate failure times by up to 40% in magnesia-carbon refractories. Ten computational figures validate the theory, showing excellent agreement with experimental data (R² = 0.967). Practical implementation in ladle linings demonstrates a predicted 15% increase in service life, offering significant economic benefits to the steel industry.