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- W85595708 abstract "Heat treatment of steels is a process of fundamental importance in tailoring the properties of a material to the desired application; developing a model able to describe such process would allow to predict the microstructure obtained from the treatment and the consequent mechanical properties of the material.A steel, during a heat treatment, can undergo two different kinds of phase transitions [p.t.]: diffusive (second order p.t.) and displacive (first order p.t.); in this thesis, an attempt to describe both in a thermodynamically consistent framework is made; a phase field, diffuse interface model accounting for the coupling between thermal, chemical and mechanical effects is developed, and a way to overcome the difficulties arising from the treatment of the non-localeffects (gradient terms) is proposed.The governing equations are the balance of linear momentum equation, the Cahn-Hilliard equation and the balance of internal energy equation. The model is completed with a suitable description of the free energy, from which constitutive relations are drawn.The equations are then cast in a variational form and different numerical techniques are used to deal with the principal features of the model: time-dependency, non-linearity and presence of high order spatial derivatives.Simulations are performed using DOLFIN, a C++ library for the automated solution of partial differential equations by means of the finite element method; results are shown for different test-cases. The analysis is reduced to a two dimensional setting, which is simpler than a three dimensional one, but still meaningful." @default.
- W85595708 created "2016-06-24" @default.
- W85595708 creator A5057618845 @default.
- W85595708 date "2010-04-30" @default.
- W85595708 modified "2023-09-27" @default.
- W85595708 title "A model for diffusive and displacive phase transitions in steels" @default.
- W85595708 doi "https://doi.org/10.6092/unibo/amsdottorato/2929" @default.
- W85595708 hasPublicationYear "2010" @default.
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