We study nonlinear stability of spatially homogeneous oscillations in reaction-diffusion systems. Assuming absence of unstable linear modes and linear diffusive behavior for the neutral phase, we prove that spatially localized perturbations decay algebraically with the diffusive rate t−n/2 in space dimension n. We also compute the leading order term in the asymptotic expansion of the solution, ...

In recent years, TRIP/TWIP steels have been the focus of great attention thanks due to their excellent tensile strength-ductility combination. The compression tests were performed at different temperatures from 25 to1000°C to study the mechanical behavior of advanced austenitic steel with 21% manganese plus bearing Ti. The results indicated that the plastic deformation is controlled by deformat...

In this study, a coupled phase field (PF) method for the simulation of crack propagation and martensitic transformations is developed. order to investigate microstructure evolution concept thermodynamic driving force, interfacial energy, elastic kinetic equations are introduced (time dependent Ginzburg Landau equation) [1]. The weak form an algorithm solution corresponding implemented in finite...

The phase transformation of aluminum hydrates yields various forms of alumina (d, q, K) and eventually alpha-alumina. The decrease in the specific surface area of alumina upon heat treatment is due to changes in crystalline structure and hence a decrease in the porosity of the material, Although the conversion of gamma-alumina to alpha-structure takes place with a lowering in surface area and p...