Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot

Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The su...
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Autor*in:	Gouttebroze, Sylvain [verfasserIn] Autruffe, Antoine Aas, Lars Martin Sandvik Kildemo, Morten Ma, Xiang

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Schlagwörter:	Coincidence Site Lattice Mueller Matrix Crystal Plasticity Model Multicrystalline Silicon Silicon Ingot

Anmerkung:	© The Minerals, Metals & Materials Society and ASM International 2014

Übergeordnetes Werk:	Enthalten in: Metallurgical and materials transactions - New York, NY : Springer, 2014, 1(2014), 2 vom: 22. Mai, Seite 180-186
Übergeordnetes Werk:	volume:1 ; year:2014 ; number:2 ; day:22 ; month:05 ; pages:180-186

Links:	Volltext

DOI / URN:	10.1007/s40553-014-0018-5

Katalog-ID:	SPR03664708X

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520			\|a Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account.
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allfields	10.1007/s40553-014-0018-5 doi (DE-627)SPR03664708X (SPR)s40553-014-0018-5-e DE-627 ger DE-627 rakwb eng Gouttebroze, Sylvain verfasserin aut Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Minerals, Metals & Materials Society and ASM International 2014 Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. Coincidence Site Lattice (dpeaa)DE-He213 Mueller Matrix (dpeaa)DE-He213 Crystal Plasticity Model (dpeaa)DE-He213 Multicrystalline Silicon (dpeaa)DE-He213 Silicon Ingot (dpeaa)DE-He213 Autruffe, Antoine aut Aas, Lars Martin Sandvik aut Kildemo, Morten aut Ma, Xiang aut Enthalten in Metallurgical and materials transactions New York, NY : Springer, 2014 1(2014), 2 vom: 22. Mai, Seite 180-186 (DE-627)776853015 (DE-600)2750815-8 2196-2944 nnns volume:1 year:2014 number:2 day:22 month:05 pages:180-186 https://dx.doi.org/10.1007/s40553-014-0018-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_110 GBV_ILN_120 GBV_ILN_161 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4328 GBV_ILN_4333 AR 1 2014 2 22 05 180-186
spelling	10.1007/s40553-014-0018-5 doi (DE-627)SPR03664708X (SPR)s40553-014-0018-5-e DE-627 ger DE-627 rakwb eng Gouttebroze, Sylvain verfasserin aut Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Minerals, Metals & Materials Society and ASM International 2014 Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. Coincidence Site Lattice (dpeaa)DE-He213 Mueller Matrix (dpeaa)DE-He213 Crystal Plasticity Model (dpeaa)DE-He213 Multicrystalline Silicon (dpeaa)DE-He213 Silicon Ingot (dpeaa)DE-He213 Autruffe, Antoine aut Aas, Lars Martin Sandvik aut Kildemo, Morten aut Ma, Xiang aut Enthalten in Metallurgical and materials transactions New York, NY : Springer, 2014 1(2014), 2 vom: 22. Mai, Seite 180-186 (DE-627)776853015 (DE-600)2750815-8 2196-2944 nnns volume:1 year:2014 number:2 day:22 month:05 pages:180-186 https://dx.doi.org/10.1007/s40553-014-0018-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_110 GBV_ILN_120 GBV_ILN_161 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4328 GBV_ILN_4333 AR 1 2014 2 22 05 180-186
allfields_unstemmed	10.1007/s40553-014-0018-5 doi (DE-627)SPR03664708X (SPR)s40553-014-0018-5-e DE-627 ger DE-627 rakwb eng Gouttebroze, Sylvain verfasserin aut Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Minerals, Metals & Materials Society and ASM International 2014 Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. Coincidence Site Lattice (dpeaa)DE-He213 Mueller Matrix (dpeaa)DE-He213 Crystal Plasticity Model (dpeaa)DE-He213 Multicrystalline Silicon (dpeaa)DE-He213 Silicon Ingot (dpeaa)DE-He213 Autruffe, Antoine aut Aas, Lars Martin Sandvik aut Kildemo, Morten aut Ma, Xiang aut Enthalten in Metallurgical and materials transactions New York, NY : Springer, 2014 1(2014), 2 vom: 22. Mai, Seite 180-186 (DE-627)776853015 (DE-600)2750815-8 2196-2944 nnns volume:1 year:2014 number:2 day:22 month:05 pages:180-186 https://dx.doi.org/10.1007/s40553-014-0018-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_110 GBV_ILN_120 GBV_ILN_161 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4328 GBV_ILN_4333 AR 1 2014 2 22 05 180-186
allfieldsGer	10.1007/s40553-014-0018-5 doi (DE-627)SPR03664708X (SPR)s40553-014-0018-5-e DE-627 ger DE-627 rakwb eng Gouttebroze, Sylvain verfasserin aut Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Minerals, Metals & Materials Society and ASM International 2014 Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. Coincidence Site Lattice (dpeaa)DE-He213 Mueller Matrix (dpeaa)DE-He213 Crystal Plasticity Model (dpeaa)DE-He213 Multicrystalline Silicon (dpeaa)DE-He213 Silicon Ingot (dpeaa)DE-He213 Autruffe, Antoine aut Aas, Lars Martin Sandvik aut Kildemo, Morten aut Ma, Xiang aut Enthalten in Metallurgical and materials transactions New York, NY : Springer, 2014 1(2014), 2 vom: 22. Mai, Seite 180-186 (DE-627)776853015 (DE-600)2750815-8 2196-2944 nnns volume:1 year:2014 number:2 day:22 month:05 pages:180-186 https://dx.doi.org/10.1007/s40553-014-0018-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_110 GBV_ILN_120 GBV_ILN_161 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4328 GBV_ILN_4333 AR 1 2014 2 22 05 180-186
allfieldsSound	10.1007/s40553-014-0018-5 doi (DE-627)SPR03664708X (SPR)s40553-014-0018-5-e DE-627 ger DE-627 rakwb eng Gouttebroze, Sylvain verfasserin aut Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Minerals, Metals & Materials Society and ASM International 2014 Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. Coincidence Site Lattice (dpeaa)DE-He213 Mueller Matrix (dpeaa)DE-He213 Crystal Plasticity Model (dpeaa)DE-He213 Multicrystalline Silicon (dpeaa)DE-He213 Silicon Ingot (dpeaa)DE-He213 Autruffe, Antoine aut Aas, Lars Martin Sandvik aut Kildemo, Morten aut Ma, Xiang aut Enthalten in Metallurgical and materials transactions New York, NY : Springer, 2014 1(2014), 2 vom: 22. Mai, Seite 180-186 (DE-627)776853015 (DE-600)2750815-8 2196-2944 nnns volume:1 year:2014 number:2 day:22 month:05 pages:180-186 https://dx.doi.org/10.1007/s40553-014-0018-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_110 GBV_ILN_120 GBV_ILN_161 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4313 GBV_ILN_4328 GBV_ILN_4333 AR 1 2014 2 22 05 180-186
language	English
source	Enthalten in Metallurgical and materials transactions 1(2014), 2 vom: 22. Mai, Seite 180-186 volume:1 year:2014 number:2 day:22 month:05 pages:180-186
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topic_facet	Coincidence Site Lattice Mueller Matrix Crystal Plasticity Model Multicrystalline Silicon Silicon Ingot
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author	Gouttebroze, Sylvain
spellingShingle	Gouttebroze, Sylvain misc Coincidence Site Lattice misc Mueller Matrix misc Crystal Plasticity Model misc Multicrystalline Silicon misc Silicon Ingot Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot
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topic_title	Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot Coincidence Site Lattice (dpeaa)DE-He213 Mueller Matrix (dpeaa)DE-He213 Crystal Plasticity Model (dpeaa)DE-He213 Multicrystalline Silicon (dpeaa)DE-He213 Silicon Ingot (dpeaa)DE-He213
topic	misc Coincidence Site Lattice misc Mueller Matrix misc Crystal Plasticity Model misc Multicrystalline Silicon misc Silicon Ingot
topic_unstemmed	misc Coincidence Site Lattice misc Mueller Matrix misc Crystal Plasticity Model misc Multicrystalline Silicon misc Silicon Ingot
topic_browse	misc Coincidence Site Lattice misc Mueller Matrix misc Crystal Plasticity Model misc Multicrystalline Silicon misc Silicon Ingot
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title	Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot
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title_full	Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot
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title_sort	effect of grain orientation and cooling rate on stress distribution in a small-scale silicon ingot
title_auth	Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot
abstract	Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. © The Minerals, Metals & Materials Society and ASM International 2014
abstractGer	Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. © The Minerals, Metals & Materials Society and ASM International 2014
abstract_unstemmed	Abstract Small-scale solidification simulations were carried out in order to study the effect of the grain orientation and cooling rate on the stresses in mono- and bi-crystals. First, a 2D-axisymetric heat-transfer model of the global furnace is established to provide input to the sub-model. The sub-model takes into account only the crucible and silicon ingot. The flux histories are transferred from the global model. A finite element crystal plasticity model solves the mechanical deformation in the ingot. Ingots were grown in the small-scale Bridgman furnace with different pulling rates ranging from 0.2 to 50 mm/min. The results show the asymmetric effect of the crystal orientation and the stress build-up at the grain boundary due to different orientations. The change in pulling rate affects strongly the solidification front shape and the residual stresses. The 3D mechanical model illustrates also the limitations of the 2D-axisymmetric approach when silicon crystal anisotropy is taken into account. © The Minerals, Metals & Materials Society and ASM International 2014
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title_short	Effect of Grain Orientation and Cooling Rate on Stress Distribution in a Small-scale Silicon Ingot
url	https://dx.doi.org/10.1007/s40553-014-0018-5
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author2	Autruffe, Antoine Aas, Lars Martin Sandvik Kildemo, Morten Ma, Xiang
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up_date	2024-07-03T18:52:13.301Z
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