Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions

The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and...
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Autor*in:	Huijun Wu [verfasserIn] Jing Zhao [verfasserIn] Zhongchang Wang [verfasserIn] Xunguo Zhu [verfasserIn] Deshen Zhao [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory.

Übergeordnetes Werk:	In: Sensors & Transducers - IFSA Publishing, S.L., 2017, 159(2013), 11, Seite 107-112
Übergeordnetes Werk:	volume:159 ; year:2013 ; number:11 ; pages:107-112

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Katalog-ID:	DOAJ065050312

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520			\|a The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be.
650		4	\|a Weight function
650		4	\|a Intrinsic characteristic length scale
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allfields	(DE-627)DOAJ065050312 (DE-599)DOAJ2fc750cf02c94cdfb62f72b3bbcfceb9 DE-627 ger DE-627 rakwb eng T1-995 Huijun Wu verfasserin aut Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory. Technology (General) Jing Zhao verfasserin aut Zhongchang Wang verfasserin aut Xunguo Zhu verfasserin aut Deshen Zhao verfasserin aut In Sensors & Transducers IFSA Publishing, S.L., 2017 159(2013), 11, Seite 107-112 (DE-627)887864724 (DE-600)2894997-3 17265479 nnns volume:159 year:2013 number:11 pages:107-112 https://doaj.org/article/2fc750cf02c94cdfb62f72b3bbcfceb9 kostenfrei http://www.sensorsportal.com/HTML/DIGEST/november_2013/PDF_vol_159/P_1545.pdf kostenfrei https://doaj.org/toc/2306-8515 Journal toc kostenfrei https://doaj.org/toc/1726-5479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 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 159 2013 11 107-112
spelling	(DE-627)DOAJ065050312 (DE-599)DOAJ2fc750cf02c94cdfb62f72b3bbcfceb9 DE-627 ger DE-627 rakwb eng T1-995 Huijun Wu verfasserin aut Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory. Technology (General) Jing Zhao verfasserin aut Zhongchang Wang verfasserin aut Xunguo Zhu verfasserin aut Deshen Zhao verfasserin aut In Sensors & Transducers IFSA Publishing, S.L., 2017 159(2013), 11, Seite 107-112 (DE-627)887864724 (DE-600)2894997-3 17265479 nnns volume:159 year:2013 number:11 pages:107-112 https://doaj.org/article/2fc750cf02c94cdfb62f72b3bbcfceb9 kostenfrei http://www.sensorsportal.com/HTML/DIGEST/november_2013/PDF_vol_159/P_1545.pdf kostenfrei https://doaj.org/toc/2306-8515 Journal toc kostenfrei https://doaj.org/toc/1726-5479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 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 159 2013 11 107-112
allfields_unstemmed	(DE-627)DOAJ065050312 (DE-599)DOAJ2fc750cf02c94cdfb62f72b3bbcfceb9 DE-627 ger DE-627 rakwb eng T1-995 Huijun Wu verfasserin aut Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory. Technology (General) Jing Zhao verfasserin aut Zhongchang Wang verfasserin aut Xunguo Zhu verfasserin aut Deshen Zhao verfasserin aut In Sensors & Transducers IFSA Publishing, S.L., 2017 159(2013), 11, Seite 107-112 (DE-627)887864724 (DE-600)2894997-3 17265479 nnns volume:159 year:2013 number:11 pages:107-112 https://doaj.org/article/2fc750cf02c94cdfb62f72b3bbcfceb9 kostenfrei http://www.sensorsportal.com/HTML/DIGEST/november_2013/PDF_vol_159/P_1545.pdf kostenfrei https://doaj.org/toc/2306-8515 Journal toc kostenfrei https://doaj.org/toc/1726-5479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 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 159 2013 11 107-112
allfieldsGer	(DE-627)DOAJ065050312 (DE-599)DOAJ2fc750cf02c94cdfb62f72b3bbcfceb9 DE-627 ger DE-627 rakwb eng T1-995 Huijun Wu verfasserin aut Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory. Technology (General) Jing Zhao verfasserin aut Zhongchang Wang verfasserin aut Xunguo Zhu verfasserin aut Deshen Zhao verfasserin aut In Sensors & Transducers IFSA Publishing, S.L., 2017 159(2013), 11, Seite 107-112 (DE-627)887864724 (DE-600)2894997-3 17265479 nnns volume:159 year:2013 number:11 pages:107-112 https://doaj.org/article/2fc750cf02c94cdfb62f72b3bbcfceb9 kostenfrei http://www.sensorsportal.com/HTML/DIGEST/november_2013/PDF_vol_159/P_1545.pdf kostenfrei https://doaj.org/toc/2306-8515 Journal toc kostenfrei https://doaj.org/toc/1726-5479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 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 159 2013 11 107-112
allfieldsSound	(DE-627)DOAJ065050312 (DE-599)DOAJ2fc750cf02c94cdfb62f72b3bbcfceb9 DE-627 ger DE-627 rakwb eng T1-995 Huijun Wu verfasserin aut Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory. Technology (General) Jing Zhao verfasserin aut Zhongchang Wang verfasserin aut Xunguo Zhu verfasserin aut Deshen Zhao verfasserin aut In Sensors & Transducers IFSA Publishing, S.L., 2017 159(2013), 11, Seite 107-112 (DE-627)887864724 (DE-600)2894997-3 17265479 nnns volume:159 year:2013 number:11 pages:107-112 https://doaj.org/article/2fc750cf02c94cdfb62f72b3bbcfceb9 kostenfrei http://www.sensorsportal.com/HTML/DIGEST/november_2013/PDF_vol_159/P_1545.pdf kostenfrei https://doaj.org/toc/2306-8515 Journal toc kostenfrei https://doaj.org/toc/1726-5479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 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 159 2013 11 107-112
language	English
source	In Sensors & Transducers 159(2013), 11, Seite 107-112 volume:159 year:2013 number:11 pages:107-112
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topic_facet	Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory. Technology (General)
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authorswithroles_txt_mv	Huijun Wu @@aut@@ Jing Zhao @@aut@@ Zhongchang Wang @@aut@@ Xunguo Zhu @@aut@@ Deshen Zhao @@aut@@
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In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. 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callnumber-first	T - Technology
author	Huijun Wu
spellingShingle	Huijun Wu misc T1-995 misc Weight function misc Intrinsic characteristic length scale misc Crack misc Stress intensity factor misc Non-local theory. misc Technology (General) Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions
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topic_title	T1-995 Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions Weight function Intrinsic characteristic length scale Crack Stress intensity factor Non-local theory
topic	misc T1-995 misc Weight function misc Intrinsic characteristic length scale misc Crack misc Stress intensity factor misc Non-local theory. misc Technology (General)
topic_unstemmed	misc T1-995 misc Weight function misc Intrinsic characteristic length scale misc Crack misc Stress intensity factor misc Non-local theory. misc Technology (General)
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title	Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions
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title_full	Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions
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title_sort	dynamic crack propagating mechanism of rock materials based on different weighted functions
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title_auth	Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions
abstract	The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be.
abstractGer	The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be.
abstract_unstemmed	The singularity at the crack tip can be smoothed by the non-local theory based on different types of weighted functions. In the paper, the characteristics of different types of the weighted functions and their effects on non-local model are analyzed. The effects of the stress intensity factor KI and KII on the all components of stress-strain field in the neighborhood of the crack tip are analyzed by different types of the weighted functions. It is shown that the larger intrinsic characteristic length scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be. The size of non-local strain field with the bell-shaped weighted functions is larger than that obtained by either Green's or Gaussian weighted functions. The non-local normal stress-strain components depends on the stress intensity factor KI and KII, the circumferential stress is related to the stress intensity factor KI. The effect of stress intensity factor KI on non-local radial stress is positive while the effect of KII is negative. The non-local circumferential stress is related only to the stress intensity factor KII while the non-local shear stress is related only to the stress intensity factor KI. The larger the intrinsic characteristic scale is, the more significant the reduction of non-local strain with respect to the local strain predicted conventionally will be.
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title_short	Dynamic Crack Propagating Mechanism of Rock Materials Based on Different Weighted Functions
url	https://doaj.org/article/2fc750cf02c94cdfb62f72b3bbcfceb9 http://www.sensorsportal.com/HTML/DIGEST/november_2013/PDF_vol_159/P_1545.pdf https://doaj.org/toc/2306-8515 https://doaj.org/toc/1726-5479
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