A new numerical formulation for thermal oxidation

A new numerical formulation to model oxidation is proposed. It includes discontinuous shape functions to model two material diffusion-reaction, level-set based interface evolution, viscoelastic constitutive relations, finite deformation and large expansion. Well-posedness and numerical stability of the numerical methods are investigated in detail. Stress-dependent oxidation and residual stresses can be treated in one, two and three dimensions. Traditional gridding problems associated with moving boundaries are resolved by using an Eulerian representation of the interface. The constitutive model is thermodynamically consistent and preserves fundamental properties like objectivity of constitutive equations throughout the process.