A fully coupled diffusional-mechanical formulation for growth kinetics of precipitates in laser powder bed fusion process using a phase field approach

Fikret Kh. Mirzade

doi:10.1117/12.2527602

21 June 2019 A fully coupled diffusional-mechanical formulation for growth kinetics of precipitates in laser powder bed fusion process using a phase field approach

Fikret Kh. Mirzade

Author Affiliations +

Proceedings Volume 11057, Modeling Aspects in Optical Metrology VII; 110571P (2019) https://doi.org/10.1117/12.2527602
Event: SPIE Optical Metrology, 2019, Munich, Germany

Abstract

This paper formulates a general thermodynamically consistent theory of the coupled solute transport and large strain to describe the transformation kinetics of precipitation in a supersaturated matrix during laser additive manufacturing (AM) by selective laser melting of powder bed using phase field method. The structure of the constitutive equations is derived utilizing multiplicative kinematic decomposition of the total deformation gradient into elastic and eigen transformation parts. Expressions for the first Piola–Kirchhoff stress and the Cauchy stress are derived. The stress-dependent diffusion potential accounts for nonlinear, finite deformation. A high nonlinear Ginsburg–Landau kinetic equations coupled to Cahn-Hilliard type of diffusion-drift equation for solute atom concentration are derived. The Voigt/Taylor homogenization theory is used to model the dependence of total stress on the phase-field, which assumes equal elastic strains in the different phases at the diffuse interface region. To describe the effects of temperature and fluid velocity distributions and thermal history on the precipitate growth mechanisms a linking of microscale model with the macroscopic AM processing conditions is discussed. To describe the effects of temperature gradient and fluid velocity distributions and thermal history on the precipitate growth mechanisms a linking of microscale model with the macroscopic AM processing conditions is discussed. Then the proposed model is applied to cylindrical precipitate growth to explore the stress evolution with taking account of finite deformation and plastic deformation.

Citation Download Citation

Fikret Kh. Mirzade "A fully coupled diffusional-mechanical formulation for growth kinetics of precipitates in laser powder bed fusion process using a phase field approach", Proc. SPIE 11057, Modeling Aspects in Optical Metrology VII, 110571P (21 June 2019); https://doi.org/10.1117/12.2527602

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