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A fully coupled diffusional-mechanical formulation for growth kinetics of precipitates in laser powder bed fusion process using a phase field approach
Author(s): Fikret Kh. Mirzade
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Paper 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.

Paper Details

Date Published: 21 June 2019
PDF: 12 pages
Proc. SPIE 11057, Modeling Aspects in Optical Metrology VII, 110571P (21 June 2019); doi: 10.1117/12.2527602
Show Author Affiliations
Fikret Kh. Mirzade, Institute of Laser and Information Technologies of the RAS (Russian Federation)


Published in SPIE Proceedings Vol. 11057:
Modeling Aspects in Optical Metrology VII
Bernd Bodermann; Karsten Frenner; Richard M. Silver, Editor(s)

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