Unified solution of a borehole problem with size effect
Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentrati...
Ausführliche Beschreibung
Autor*in: |
Xie, Xiang [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2013 |
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Anmerkung: |
© Springer-Verlag Wien 2013 |
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Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 225(2013), 6 vom: 20. Nov., Seite 1769-1778 |
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Übergeordnetes Werk: |
volume:225 ; year:2013 ; number:6 ; day:20 ; month:11 ; pages:1769-1778 |
Links: |
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DOI / URN: |
10.1007/s00707-013-1022-z |
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Katalog-ID: |
OLC2030140724 |
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520 | |a Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. | ||
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700 | 1 | |a Zhang, Yongqiang |4 aut | |
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10.1007/s00707-013-1022-z doi (DE-627)OLC2030140724 (DE-He213)s00707-013-1022-z-p DE-627 ger DE-627 rakwb eng 530 VZ Xie, Xiang verfasserin aut Unified solution of a borehole problem with size effect 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. Yield Criterion Strain Gradient Stress Concentration Factor Plastic Region Effective Plastic Strain Wang, Lizhong aut Zhang, Yongqiang aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 6 vom: 20. Nov., Seite 1769-1778 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:6 day:20 month:11 pages:1769-1778 https://doi.org/10.1007/s00707-013-1022-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 6 20 11 1769-1778 |
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10.1007/s00707-013-1022-z doi (DE-627)OLC2030140724 (DE-He213)s00707-013-1022-z-p DE-627 ger DE-627 rakwb eng 530 VZ Xie, Xiang verfasserin aut Unified solution of a borehole problem with size effect 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. Yield Criterion Strain Gradient Stress Concentration Factor Plastic Region Effective Plastic Strain Wang, Lizhong aut Zhang, Yongqiang aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 6 vom: 20. Nov., Seite 1769-1778 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:6 day:20 month:11 pages:1769-1778 https://doi.org/10.1007/s00707-013-1022-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 6 20 11 1769-1778 |
allfields_unstemmed |
10.1007/s00707-013-1022-z doi (DE-627)OLC2030140724 (DE-He213)s00707-013-1022-z-p DE-627 ger DE-627 rakwb eng 530 VZ Xie, Xiang verfasserin aut Unified solution of a borehole problem with size effect 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. Yield Criterion Strain Gradient Stress Concentration Factor Plastic Region Effective Plastic Strain Wang, Lizhong aut Zhang, Yongqiang aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 6 vom: 20. Nov., Seite 1769-1778 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:6 day:20 month:11 pages:1769-1778 https://doi.org/10.1007/s00707-013-1022-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 6 20 11 1769-1778 |
allfieldsGer |
10.1007/s00707-013-1022-z doi (DE-627)OLC2030140724 (DE-He213)s00707-013-1022-z-p DE-627 ger DE-627 rakwb eng 530 VZ Xie, Xiang verfasserin aut Unified solution of a borehole problem with size effect 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. Yield Criterion Strain Gradient Stress Concentration Factor Plastic Region Effective Plastic Strain Wang, Lizhong aut Zhang, Yongqiang aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 6 vom: 20. Nov., Seite 1769-1778 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:6 day:20 month:11 pages:1769-1778 https://doi.org/10.1007/s00707-013-1022-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 6 20 11 1769-1778 |
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10.1007/s00707-013-1022-z doi (DE-627)OLC2030140724 (DE-He213)s00707-013-1022-z-p DE-627 ger DE-627 rakwb eng 530 VZ Xie, Xiang verfasserin aut Unified solution of a borehole problem with size effect 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. Yield Criterion Strain Gradient Stress Concentration Factor Plastic Region Effective Plastic Strain Wang, Lizhong aut Zhang, Yongqiang aut Enthalten in Acta mechanica Springer Vienna, 1965 225(2013), 6 vom: 20. Nov., Seite 1769-1778 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:225 year:2013 number:6 day:20 month:11 pages:1769-1778 https://doi.org/10.1007/s00707-013-1022-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 225 2013 6 20 11 1769-1778 |
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Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. © Springer-Verlag Wien 2013 |
abstractGer |
Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. © Springer-Verlag Wien 2013 |
abstract_unstemmed |
Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns. © Springer-Verlag Wien 2013 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2030140724</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502143258.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2013 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00707-013-1022-z</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2030140724</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00707-013-1022-z-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Xie, Xiang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Unified solution of a borehole problem with size effect</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag Wien 2013</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Based on the strain gradient theory and the unified yield criterion, the borehole problem of an elasto-plastic plane strain body containing a traction-free hole subjected to uniform far-field stress is studied. The unified expressions for the plastic region radius and the stress concentration factor considering the size effect are derived on the basis of the unified yield criterion, respectively, which can be reduced to those based on the Tresca, von Mises and twin-shear criteria. The dependences of the plastic region radius and the stress concentration on the yield criteria, the material strain hardening level and the size effect are discussed. As a result, it is concluded that the influences of yield criteria and strain hardening level on the plastic region radius and the stress concentration are significant, and the size effect cannot be ignored when the hole size is in the order of tens of microns.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Yield Criterion</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Strain Gradient</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stress Concentration Factor</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Plastic Region</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Effective Plastic Strain</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Lizhong</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Yongqiang</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mechanica</subfield><subfield code="d">Springer Vienna, 1965</subfield><subfield code="g">225(2013), 6 vom: 20. 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