A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling

The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy bet...
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Autor*in:	Ling-yi Kong [verfasserIn] Ying-jun Gao [verfasserIn] Qian-qian Deng [verfasserIn] Zhi-rong Luo [verfasserIn] Yu-jiang Lu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	nucleation and growth strain-driven Phase Field Crystal continuous model

Übergeordnetes Werk:	In: Materials - MDPI AG, 2009, 11(2018), 10, p 1805
Übergeordnetes Werk:	volume:11 ; year:2018 ; number:10, p 1805

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/ma11101805

Katalog-ID:	DOAJ072403888

Internformat


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520			\|a The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment.
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allfields	10.3390/ma11101805 doi (DE-627)DOAJ072403888 (DE-599)DOAJ92a6267f51a4460c81d9853992741198 DE-627 ger DE-627 rakwb eng TK1-9971 TA1-2040 QH201-278.5 QC120-168.85 Ling-yi Kong verfasserin aut A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment. nucleation and growth strain-driven Phase Field Crystal continuous model Technology T Electrical engineering. Electronics. Nuclear engineering Engineering (General). Civil engineering (General) Microscopy Descriptive and experimental mechanics Ying-jun Gao verfasserin aut Qian-qian Deng verfasserin aut Zhi-rong Luo verfasserin aut Yu-jiang Lu verfasserin aut In Materials MDPI AG, 2009 11(2018), 10, p 1805 (DE-627)595712649 (DE-600)2487261-1 19961944 nnns volume:11 year:2018 number:10, p 1805 https://doi.org/10.3390/ma11101805 kostenfrei https://doaj.org/article/92a6267f51a4460c81d9853992741198 kostenfrei http://www.mdpi.com/1996-1944/11/10/1805 kostenfrei https://doaj.org/toc/1996-1944 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2018 10, p 1805
spelling	10.3390/ma11101805 doi (DE-627)DOAJ072403888 (DE-599)DOAJ92a6267f51a4460c81d9853992741198 DE-627 ger DE-627 rakwb eng TK1-9971 TA1-2040 QH201-278.5 QC120-168.85 Ling-yi Kong verfasserin aut A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment. nucleation and growth strain-driven Phase Field Crystal continuous model Technology T Electrical engineering. Electronics. Nuclear engineering Engineering (General). Civil engineering (General) Microscopy Descriptive and experimental mechanics Ying-jun Gao verfasserin aut Qian-qian Deng verfasserin aut Zhi-rong Luo verfasserin aut Yu-jiang Lu verfasserin aut In Materials MDPI AG, 2009 11(2018), 10, p 1805 (DE-627)595712649 (DE-600)2487261-1 19961944 nnns volume:11 year:2018 number:10, p 1805 https://doi.org/10.3390/ma11101805 kostenfrei https://doaj.org/article/92a6267f51a4460c81d9853992741198 kostenfrei http://www.mdpi.com/1996-1944/11/10/1805 kostenfrei https://doaj.org/toc/1996-1944 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2018 10, p 1805
allfields_unstemmed	10.3390/ma11101805 doi (DE-627)DOAJ072403888 (DE-599)DOAJ92a6267f51a4460c81d9853992741198 DE-627 ger DE-627 rakwb eng TK1-9971 TA1-2040 QH201-278.5 QC120-168.85 Ling-yi Kong verfasserin aut A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment. nucleation and growth strain-driven Phase Field Crystal continuous model Technology T Electrical engineering. Electronics. Nuclear engineering Engineering (General). Civil engineering (General) Microscopy Descriptive and experimental mechanics Ying-jun Gao verfasserin aut Qian-qian Deng verfasserin aut Zhi-rong Luo verfasserin aut Yu-jiang Lu verfasserin aut In Materials MDPI AG, 2009 11(2018), 10, p 1805 (DE-627)595712649 (DE-600)2487261-1 19961944 nnns volume:11 year:2018 number:10, p 1805 https://doi.org/10.3390/ma11101805 kostenfrei https://doaj.org/article/92a6267f51a4460c81d9853992741198 kostenfrei http://www.mdpi.com/1996-1944/11/10/1805 kostenfrei https://doaj.org/toc/1996-1944 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2018 10, p 1805
allfieldsGer	10.3390/ma11101805 doi (DE-627)DOAJ072403888 (DE-599)DOAJ92a6267f51a4460c81d9853992741198 DE-627 ger DE-627 rakwb eng TK1-9971 TA1-2040 QH201-278.5 QC120-168.85 Ling-yi Kong verfasserin aut A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment. nucleation and growth strain-driven Phase Field Crystal continuous model Technology T Electrical engineering. Electronics. Nuclear engineering Engineering (General). Civil engineering (General) Microscopy Descriptive and experimental mechanics Ying-jun Gao verfasserin aut Qian-qian Deng verfasserin aut Zhi-rong Luo verfasserin aut Yu-jiang Lu verfasserin aut In Materials MDPI AG, 2009 11(2018), 10, p 1805 (DE-627)595712649 (DE-600)2487261-1 19961944 nnns volume:11 year:2018 number:10, p 1805 https://doi.org/10.3390/ma11101805 kostenfrei https://doaj.org/article/92a6267f51a4460c81d9853992741198 kostenfrei http://www.mdpi.com/1996-1944/11/10/1805 kostenfrei https://doaj.org/toc/1996-1944 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2018 10, p 1805
allfieldsSound	10.3390/ma11101805 doi (DE-627)DOAJ072403888 (DE-599)DOAJ92a6267f51a4460c81d9853992741198 DE-627 ger DE-627 rakwb eng TK1-9971 TA1-2040 QH201-278.5 QC120-168.85 Ling-yi Kong verfasserin aut A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment. nucleation and growth strain-driven Phase Field Crystal continuous model Technology T Electrical engineering. Electronics. Nuclear engineering Engineering (General). Civil engineering (General) Microscopy Descriptive and experimental mechanics Ying-jun Gao verfasserin aut Qian-qian Deng verfasserin aut Zhi-rong Luo verfasserin aut Yu-jiang Lu verfasserin aut In Materials MDPI AG, 2009 11(2018), 10, p 1805 (DE-627)595712649 (DE-600)2487261-1 19961944 nnns volume:11 year:2018 number:10, p 1805 https://doi.org/10.3390/ma11101805 kostenfrei https://doaj.org/article/92a6267f51a4460c81d9853992741198 kostenfrei http://www.mdpi.com/1996-1944/11/10/1805 kostenfrei https://doaj.org/toc/1996-1944 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 11 2018 10, p 1805
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callnumber-first	T - Technology
author	Ling-yi Kong
spellingShingle	Ling-yi Kong misc TK1-9971 misc TA1-2040 misc QH201-278.5 misc QC120-168.85 misc nucleation and growth misc strain-driven misc Phase Field Crystal misc continuous model misc Technology misc T misc Electrical engineering. Electronics. Nuclear engineering misc Engineering (General). Civil engineering (General) misc Microscopy misc Descriptive and experimental mechanics A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling
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topic_title	TK1-9971 TA1-2040 QH201-278.5 QC120-168.85 A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling nucleation and growth strain-driven Phase Field Crystal continuous model
topic	misc TK1-9971 misc TA1-2040 misc QH201-278.5 misc QC120-168.85 misc nucleation and growth misc strain-driven misc Phase Field Crystal misc continuous model misc Technology misc T misc Electrical engineering. Electronics. Nuclear engineering misc Engineering (General). Civil engineering (General) misc Microscopy misc Descriptive and experimental mechanics
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title	A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling
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title_full	A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling
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title_sort	study of strain-driven nucleation and extension of deformed grain: phase field crystal and continuum modeling
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title_auth	A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling
abstract	The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment.
abstractGer	The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment.
abstract_unstemmed	The phase-field-crystal (PFC) method is used to investigate migration of grain boundary dislocation and dynamic of strain-driven nucleation and growth of deformed grain in two dimensions. The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. The copper metal is taken as an example of the calculation, and the obtained result is a good agreement with that of the experiment.
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title_short	A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling
url	https://doi.org/10.3390/ma11101805 https://doaj.org/article/92a6267f51a4460c81d9853992741198 http://www.mdpi.com/1996-1944/11/10/1805 https://doaj.org/toc/1996-1944
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The simulated results show that the deformed grain nucleates through forming a gap with higher strain energy between the two sub-grain boundaries (SGB) which is split from grain boundary (GB) under applied biaxial strain, and results in the formation of high-density ensembles of cooperative dislocation movement (CDM) that is capable of plastic flow localization (deformed band), which is related to the change of the crystal lattice orientation due to instability of the orientation. The deformed grain stores the strain energy through collective climbing of the dislocation, as well as changing the orientation of the original grain. The deformed grain growth (DGG) is such that the higher strain energy region extends to the lower strain energy region, and its area increase is proportional to the time square. The rule of the time square of the DGG can also be deduced by establishing the dynamic equation of the dislocation of the strain-driven SGB. 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A Study of Strain-Driven Nucleation and Extension of Deformed Grain: Phase Field Crystal and Continuum Modeling

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