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- Title
Effect ofModulus Heterogeneity on the Equilibrium Shape and Stress Field of α Precipitate in Ti-6Al-4V.
- Authors
Di Qiu; Rongpei Shi
- Abstract
For media with inclusions (e.g., precipitates, voids, reinforcements, and others), the difference in lattice parameter and the elastic modulus between the matrix and inclusions cause stress concentration at the interfaces. These stress fields depend on the inclusions' size, shape, and distribution and will respond instantly to the evolving microstructure. This study develops a phase-field model concerningmodulus heterogeneity. The effect of modulus heterogeneity on the growth process and equilibrium state of the α plate in Ti-6Al-4V during precipitation is evaluated. The α precipitate exhibits strong anisotropy in shape upon cooling due to the interplay of the elastic strain and interfacial energy. The calculated orientation of the habit plane using the homogeneous modulus of α phase shows the smallest deviation fromthat of the habit plane observed in the experiment, compared to the case where the homogeneous modulus of β phase is adopted. In addition, the equilibrium volume of α phase within the systemusing homogeneous β modulus exhibits the largest dependency on the applied stresses. The stress fields across the α/β interface are further calculated under the assumption of modulus heterogeneity and compared to those using homogeneous modulus of either α or β phase. This study provides an essential theoretical basis for developing mechanics models concerning systems with heterogeneous structures.
- Subjects
HETEROGENEITY; STRESS concentration; EQUILIBRIUM; STRAIN energy; ELASTIC modulus; LATTICE constants
- Publication
CMES-Computer Modeling in Engineering & Sciences, 2024, Vol 140, Issue 1, p1017
- ISSN
1526-1492
- Publication type
Article
- DOI
10.32604/cmes.2024.048797