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Effect of Modulus Heterogeneity on the Equilibrium Shape and Stress Field of α Precipitate in Ti-6Al-4V

Di Qiu1,3,4, Rongpei Shi2,*

1 Materials Genome Institute, Shanghai University, Shanghai, 200444, China
2 School of Materials Science and Engineering, Harbin Institute of Technology, Shenzhen, 518055, China
3 Shanghai Frontier Science Center of Mechanoinformatics, Shanghai University, Shanghai, 200444, China
4 Zhejiang Laboratory, Hangzhou, 311100, China

* Corresponding Author: Rongpei Shi. Email: email

(This article belongs to the Special Issue: Computational Design and Modeling of Advanced Composites and Structures)

Computer Modeling in Engineering & Sciences 2024, 140(1), 1017-1028. https://doi.org/10.32604/cmes.2024.048797

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 concerning modulus 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 from that 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 system using 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.

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APA Style
Qiu, D., Shi, R. (2024). Effect of modulus heterogeneity on the equilibrium shape and stress field of <i>α</i> precipitate in ti-6al-4v. Computer Modeling in Engineering & Sciences, 140(1), 1017-1028. https://doi.org/10.32604/cmes.2024.048797
Vancouver Style
Qiu D, Shi R. Effect of modulus heterogeneity on the equilibrium shape and stress field of <i>α</i> precipitate in ti-6al-4v. Comput Model Eng Sci. 2024;140(1):1017-1028 https://doi.org/10.32604/cmes.2024.048797
IEEE Style
D. Qiu and R. Shi, "Effect of Modulus Heterogeneity on the Equilibrium Shape and Stress Field of <i>α</i> Precipitate in Ti-6Al-4V," Comput. Model. Eng. Sci., vol. 140, no. 1, pp. 1017-1028. 2024. https://doi.org/10.32604/cmes.2024.048797



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