Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading
Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is bas...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kaminskii, A. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic/Plenum Publishers 1999 |
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| Übergeordnetes Werk: |
Enthalten in: International applied mechanics - Springer US, 1993, 35(1999), 10 vom: Okt., Seite 1021-1027 |
|---|---|
| Übergeordnetes Werk: |
volume:35 ; year:1999 ; number:10 ; month:10 ; pages:1021-1027 |
| Links: |
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| DOI / URN: |
10.1007/BF02682313 |
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OLC2075718393 |
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| 520 | |a Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. | ||
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10.1007/BF02682313 doi (DE-627)OLC2075718393 (DE-He213)BF02682313-p DE-627 ger DE-627 rakwb eng 530 VZ Kaminskii, A. A. verfasserin aut Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. Transitional Period Crack Development Transversal Isotropy Main Period Viscoelastic Body Selivanov, M. F. aut Enthalten in International applied mechanics Springer US, 1993 35(1999), 10 vom: Okt., Seite 1021-1027 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:35 year:1999 number:10 month:10 pages:1021-1027 https://doi.org/10.1007/BF02682313 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_70 AR 35 1999 10 10 1021-1027 |
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10.1007/BF02682313 doi (DE-627)OLC2075718393 (DE-He213)BF02682313-p DE-627 ger DE-627 rakwb eng 530 VZ Kaminskii, A. A. verfasserin aut Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. Transitional Period Crack Development Transversal Isotropy Main Period Viscoelastic Body Selivanov, M. F. aut Enthalten in International applied mechanics Springer US, 1993 35(1999), 10 vom: Okt., Seite 1021-1027 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:35 year:1999 number:10 month:10 pages:1021-1027 https://doi.org/10.1007/BF02682313 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_70 AR 35 1999 10 10 1021-1027 |
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10.1007/BF02682313 doi (DE-627)OLC2075718393 (DE-He213)BF02682313-p DE-627 ger DE-627 rakwb eng 530 VZ Kaminskii, A. A. verfasserin aut Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. Transitional Period Crack Development Transversal Isotropy Main Period Viscoelastic Body Selivanov, M. F. aut Enthalten in International applied mechanics Springer US, 1993 35(1999), 10 vom: Okt., Seite 1021-1027 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:35 year:1999 number:10 month:10 pages:1021-1027 https://doi.org/10.1007/BF02682313 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_70 AR 35 1999 10 10 1021-1027 |
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10.1007/BF02682313 doi (DE-627)OLC2075718393 (DE-He213)BF02682313-p DE-627 ger DE-627 rakwb eng 530 VZ Kaminskii, A. A. verfasserin aut Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. Transitional Period Crack Development Transversal Isotropy Main Period Viscoelastic Body Selivanov, M. F. aut Enthalten in International applied mechanics Springer US, 1993 35(1999), 10 vom: Okt., Seite 1021-1027 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:35 year:1999 number:10 month:10 pages:1021-1027 https://doi.org/10.1007/BF02682313 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_70 AR 35 1999 10 10 1021-1027 |
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10.1007/BF02682313 doi (DE-627)OLC2075718393 (DE-He213)BF02682313-p DE-627 ger DE-627 rakwb eng 530 VZ Kaminskii, A. A. verfasserin aut Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. Transitional Period Crack Development Transversal Isotropy Main Period Viscoelastic Body Selivanov, M. F. aut Enthalten in International applied mechanics Springer US, 1993 35(1999), 10 vom: Okt., Seite 1021-1027 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:35 year:1999 number:10 month:10 pages:1021-1027 https://doi.org/10.1007/BF02682313 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_70 AR 35 1999 10 10 1021-1027 |
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Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. © Kluwer Academic/Plenum Publishers 1999 |
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Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. © Kluwer Academic/Plenum Publishers 1999 |
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Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function. © Kluwer Academic/Plenum Publishers 1999 |
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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">OLC2075718393</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503091711.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s1999 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02682313</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2075718393</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02682313-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">Kaminskii, A. A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Delayed fracture of a transversally isotropic viscoelastic material with a crack under monotonically increasing loading</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1999</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">© Kluwer Academic/Plenum Publishers 1999</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The delayed fracture of a transversally isotropic viscoelastic material due to slow subcritical growth of a flat normal-fracture macrocrack with a circular cross-section under monotonically increasing load is examined. The calculations employ the modified $ δ_{C} $ of fracture, which is based on the concept of constancy of the prefailure region. The investigation is carried out within the framework of the Boltzmann-Volterra theory for difference-type bounded resolvent operators, which describe the transversal isotropy of the viscoelastic deformational properties of the material. To find the analytical form of the kernel of an irrational function of a linear combination of the above-mentioned integral operators, the method of operator continued fractions is used. Analytical and numerical calculations are carried out for difference-type bounded resolvent operators with the kernel in the form of Rabotnov's fractional-exponential function.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Transitional Period</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Crack Development</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Transversal Isotropy</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Main Period</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Viscoelastic Body</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Selivanov, M. F.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">International applied mechanics</subfield><subfield code="d">Springer US, 1993</subfield><subfield code="g">35(1999), 10 vom: Okt., Seite 1021-1027</subfield><subfield code="w">(DE-627)131145630</subfield><subfield code="w">(DE-600)1128258-7</subfield><subfield code="w">(DE-576)032855141</subfield><subfield code="x">1063-7095</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:35</subfield><subfield code="g">year:1999</subfield><subfield code="g">number:10</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:1021-1027</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02682313</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">35</subfield><subfield code="j">1999</subfield><subfield code="e">10</subfield><subfield code="c">10</subfield><subfield code="h">1021-1027</subfield></datafield></record></collection>
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