Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity
Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Casey, J. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1987 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 1987 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer-Verlag, 1965, 66(1987), 1-4 vom: Apr., Seite 269-273 |
|---|---|
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volume:66 ; year:1987 ; number:1-4 ; month:04 ; pages:269-273 |
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| DOI / URN: |
10.1007/BF01184299 |
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| 520 | |a Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. | ||
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10.1007/BF01184299 doi (DE-627)OLC2030108332 (DE-He213)BF01184299-p DE-627 ger DE-627 rakwb eng 530 VZ Casey, J. verfasserin aut Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1987 Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. Dynamical System Fluid Dynamics Stress Tensor Constitutive Equation Compression Test Enthalten in Acta mechanica Springer-Verlag, 1965 66(1987), 1-4 vom: Apr., Seite 269-273 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:66 year:1987 number:1-4 month:04 pages:269-273 https://doi.org/10.1007/BF01184299 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 66 1987 1-4 04 269-273 |
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10.1007/BF01184299 doi (DE-627)OLC2030108332 (DE-He213)BF01184299-p DE-627 ger DE-627 rakwb eng 530 VZ Casey, J. verfasserin aut Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1987 Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. Dynamical System Fluid Dynamics Stress Tensor Constitutive Equation Compression Test Enthalten in Acta mechanica Springer-Verlag, 1965 66(1987), 1-4 vom: Apr., Seite 269-273 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:66 year:1987 number:1-4 month:04 pages:269-273 https://doi.org/10.1007/BF01184299 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 66 1987 1-4 04 269-273 |
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10.1007/BF01184299 doi (DE-627)OLC2030108332 (DE-He213)BF01184299-p DE-627 ger DE-627 rakwb eng 530 VZ Casey, J. verfasserin aut Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1987 Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. Dynamical System Fluid Dynamics Stress Tensor Constitutive Equation Compression Test Enthalten in Acta mechanica Springer-Verlag, 1965 66(1987), 1-4 vom: Apr., Seite 269-273 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:66 year:1987 number:1-4 month:04 pages:269-273 https://doi.org/10.1007/BF01184299 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 66 1987 1-4 04 269-273 |
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10.1007/BF01184299 doi (DE-627)OLC2030108332 (DE-He213)BF01184299-p DE-627 ger DE-627 rakwb eng 530 VZ Casey, J. verfasserin aut Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1987 Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. Dynamical System Fluid Dynamics Stress Tensor Constitutive Equation Compression Test Enthalten in Acta mechanica Springer-Verlag, 1965 66(1987), 1-4 vom: Apr., Seite 269-273 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:66 year:1987 number:1-4 month:04 pages:269-273 https://doi.org/10.1007/BF01184299 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 66 1987 1-4 04 269-273 |
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10.1007/BF01184299 doi (DE-627)OLC2030108332 (DE-He213)BF01184299-p DE-627 ger DE-627 rakwb eng 530 VZ Casey, J. verfasserin aut Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1987 Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. Dynamical System Fluid Dynamics Stress Tensor Constitutive Equation Compression Test Enthalten in Acta mechanica Springer-Verlag, 1965 66(1987), 1-4 vom: Apr., Seite 269-273 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:66 year:1987 number:1-4 month:04 pages:269-273 https://doi.org/10.1007/BF01184299 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 66 1987 1-4 04 269-273 |
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subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity |
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Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity |
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Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. © Springer-Verlag 1987 |
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Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. © Springer-Verlag 1987 |
| abstract_unstemmed |
Summary During loading of elastic-plastic materials, it has been shown previously that the direction of the Lagrangian strain-rate tensor can be either subcritical, critical, or super-critical. These three situations generalize the three types of softening behavior (subcritical, critical, and normal) observed in uniaxial compression tests on rocks. For rigid-plastic materials, the direction of the strain-rate during loading is fixed by a constitutive equation, and, as shown below, it is now the direction of the symmetric Piola-Kirchhoff stress tensor that can be either subcritical, critical, or supercritical. © Springer-Verlag 1987 |
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Subcritical, critical, and supercritical directions of stress-rate in finite rigid plasticity |
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