3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage

Growing very large size silicon ingots with low dislocation density is a critical issue for the photovoltaic industry to reduce the production cost of the high-efficiency solar cell for affordable green energy. The thermal stresses, which are produced as the result of the non-uniform temperature fie...

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Main Authors: Lin, Maohua, Wu, Xinjiang, Liao, Xinqin, Shi, Min, Ou, Disheng, Tsai, Chi-Tay
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/142229
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author Lin, Maohua
Wu, Xinjiang
Liao, Xinqin
Shi, Min
Ou, Disheng
Tsai, Chi-Tay
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Lin, Maohua
Wu, Xinjiang
Liao, Xinqin
Shi, Min
Ou, Disheng
Tsai, Chi-Tay
author_sort Lin, Maohua
collection NTU
description Growing very large size silicon ingots with low dislocation density is a critical issue for the photovoltaic industry to reduce the production cost of the high-efficiency solar cell for affordable green energy. The thermal stresses, which are produced as the result of the non-uniform temperature field, would generate dislocation in the ingot. This is a complicated thermal viscoplasticity process during the cooling process of crystal growth. A nonlinear three-dimensional transient formulation derived from the Hassen-Sumino model (HAS) was applied to predict the number of dislocation densities, which couples the macroscopic viscoplastic deformation with the microscopic dislocation dynamics. A typical cooling process during the growth of very large size (G5 size: 0.84 m × 0.84 m × 0.3 m) Si ingot is used as an example to validate the developed HAS model and the results are compared with those obtained from qualitatively critical resolved shear stress model (CRSS). The result demonstrates that this finite element model not only predicts a similar pattern of dislocation generation with the CRSS model but also anticipate the dislocation density quantity generated in the Si ingot. A modified cooling process is also employed to study the effect of the cooling process on the generation of the dislocation. It clearly shows that dislocation density is drastically decreased by modifying the cooling process. The results obtained from this model can provide valuable information for engineers to design a better cooling process for reducing the dislocation density produced in the Si ingot under the crystal growth process.
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spelling ntu-10356/1422292020-06-17T08:10:03Z 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage Lin, Maohua Wu, Xinjiang Liao, Xinqin Shi, Min Ou, Disheng Tsai, Chi-Tay School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Hassen-sumino Model CRSS Model Growing very large size silicon ingots with low dislocation density is a critical issue for the photovoltaic industry to reduce the production cost of the high-efficiency solar cell for affordable green energy. The thermal stresses, which are produced as the result of the non-uniform temperature field, would generate dislocation in the ingot. This is a complicated thermal viscoplasticity process during the cooling process of crystal growth. A nonlinear three-dimensional transient formulation derived from the Hassen-Sumino model (HAS) was applied to predict the number of dislocation densities, which couples the macroscopic viscoplastic deformation with the microscopic dislocation dynamics. A typical cooling process during the growth of very large size (G5 size: 0.84 m × 0.84 m × 0.3 m) Si ingot is used as an example to validate the developed HAS model and the results are compared with those obtained from qualitatively critical resolved shear stress model (CRSS). The result demonstrates that this finite element model not only predicts a similar pattern of dislocation generation with the CRSS model but also anticipate the dislocation density quantity generated in the Si ingot. A modified cooling process is also employed to study the effect of the cooling process on the generation of the dislocation. It clearly shows that dislocation density is drastically decreased by modifying the cooling process. The results obtained from this model can provide valuable information for engineers to design a better cooling process for reducing the dislocation density produced in the Si ingot under the crystal growth process. Published version 2020-06-17T08:10:03Z 2020-06-17T08:10:03Z 2019 Journal Article Lin, M., Wu, X., Liao, X., Shi, M., Ou, D., & Tsai, C.-T. (2019). 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage. Materials, 12(17), 2783-. doi:10.3390/ma12172783 1996-1944 https://hdl.handle.net/10356/142229 10.3390/ma12172783 2-s2.0-85071868357 17 12 en Materials © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). application/pdf
spellingShingle Engineering::Electrical and electronic engineering
Hassen-sumino Model
CRSS Model
Lin, Maohua
Wu, Xinjiang
Liao, Xinqin
Shi, Min
Ou, Disheng
Tsai, Chi-Tay
3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage
title 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage
title_full 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage
title_fullStr 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage
title_full_unstemmed 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage
title_short 3D viscoplastic finite element modeling of dislocation generation in a large size Si ingot of the directional solidification stage
title_sort 3d viscoplastic finite element modeling of dislocation generation in a large size si ingot of the directional solidification stage
topic Engineering::Electrical and electronic engineering
Hassen-sumino Model
CRSS Model
url https://hdl.handle.net/10356/142229
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