![]() This formulation is based on the concept of generalized stresses as proposed by Gurtin, where an additional balance equation for generalized stresses, called microforces, associated with the order parameter and its first gradient, is postulated. According to this theory, a finite element formulation of a coupled phase field/diffusion/mechanical problem for alloys is proposed within the general framework of continuum thermodynamics. ![]() Elastoviscoplasticity) into a standard phase field model accounting for the diffusion of chemical species and phase changes. A general constitutive framework is proposed to incorporate linear and nonlinear mechanical constitutive equations (e.g. › ▼ ▼ Crack Atelier Scientifiques ▼ ▼įE formulation of the phase field models Contact: Abstract The phase field approach has emerged as the most powerful method for modeling free boundary problems without having to explicitly track the usually complicated interfaces, for different shapes, during a microstructure evolution, especially when elastic coherency stresses are generated in solids.
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