A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load

Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Fabrikant, V. I. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	2001

Schlagwörter:	Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2001

Übergeordnetes Werk:	Enthalten in: Archive of applied mechanics - Springer-Verlag, 1991, 71(2001), 12 vom: Dez., Seite 807-826
Übergeordnetes Werk:	volume:71 ; year:2001 ; number:12 ; month:12 ; pages:807-826

Links:	Volltext

DOI / URN:	10.1007/s004190100170

Katalog-ID:	OLC2071045858

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allfields	10.1007/s004190100170 doi (DE-627)OLC2071045858 (DE-He213)s004190100170-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material Enthalten in Archive of applied mechanics Springer-Verlag, 1991 71(2001), 12 vom: Dez., Seite 807-826 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:71 year:2001 number:12 month:12 pages:807-826 https://doi.org/10.1007/s004190100170 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_70 GBV_ILN_136 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4700 AR 71 2001 12 12 807-826
spelling	10.1007/s004190100170 doi (DE-627)OLC2071045858 (DE-He213)s004190100170-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material Enthalten in Archive of applied mechanics Springer-Verlag, 1991 71(2001), 12 vom: Dez., Seite 807-826 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:71 year:2001 number:12 month:12 pages:807-826 https://doi.org/10.1007/s004190100170 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_70 GBV_ILN_136 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4700 AR 71 2001 12 12 807-826
allfields_unstemmed	10.1007/s004190100170 doi (DE-627)OLC2071045858 (DE-He213)s004190100170-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material Enthalten in Archive of applied mechanics Springer-Verlag, 1991 71(2001), 12 vom: Dez., Seite 807-826 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:71 year:2001 number:12 month:12 pages:807-826 https://doi.org/10.1007/s004190100170 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_70 GBV_ILN_136 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4700 AR 71 2001 12 12 807-826
allfieldsGer	10.1007/s004190100170 doi (DE-627)OLC2071045858 (DE-He213)s004190100170-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material Enthalten in Archive of applied mechanics Springer-Verlag, 1991 71(2001), 12 vom: Dez., Seite 807-826 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:71 year:2001 number:12 month:12 pages:807-826 https://doi.org/10.1007/s004190100170 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_70 GBV_ILN_136 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4700 AR 71 2001 12 12 807-826
allfieldsSound	10.1007/s004190100170 doi (DE-627)OLC2071045858 (DE-He213)s004190100170-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2001 Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material Enthalten in Archive of applied mechanics Springer-Verlag, 1991 71(2001), 12 vom: Dez., Seite 807-826 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:71 year:2001 number:12 month:12 pages:807-826 https://doi.org/10.1007/s004190100170 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_70 GBV_ILN_136 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4700 AR 71 2001 12 12 807-826
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author	Fabrikant, V. I.
spellingShingle	Fabrikant, V. I. ddc 690 misc Integral Equation misc Normal Stress misc Algebraic Equation misc Circular Cylinder misc Elastic Material A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load
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topic_title	690 VZ A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load Integral Equation Normal Stress Algebraic Equation Circular Cylinder Elastic Material
topic	ddc 690 misc Integral Equation misc Normal Stress misc Algebraic Equation misc Circular Cylinder misc Elastic Material
topic_unstemmed	ddc 690 misc Integral Equation misc Normal Stress misc Algebraic Equation misc Circular Cylinder misc Elastic Material
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title	A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load
ctrlnum	(DE-627)OLC2071045858 (DE-He213)s004190100170-p
title_full	A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load
author_sort	Fabrikant, V. I.
journal	Archive of applied mechanics
journalStr	Archive of applied mechanics
lang_code	eng
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author_browse	Fabrikant, V. I.
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class	690 VZ
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author-letter	Fabrikant, V. I.
doi_str_mv	10.1007/s004190100170
dewey-full	690
title_sort	a crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load
title_auth	A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load
abstract	Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. © Springer-Verlag Berlin Heidelberg 2001
abstractGer	Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. © Springer-Verlag Berlin Heidelberg 2001
abstract_unstemmed	Summary In the first part of the article an infinite circular cylinder is considered, made of transversely isotropic elastic material and weakened by a plane crack perpendicular to its axis Oz. The crack is opened by an arbitrary normal stress. The second part is devoted to the same crack loaded by an arbitrary tangential stress. The complete solution in both cases is presented as a sum of the solution of a similar problem of a crack in an infinite space and an integral transform term, the parameters of which are determined from a set of linear algebraic equations derived from the boundary conditions. Governing integral equations with respect to the yet unknown crack displacement discontinuities are obtained. In the case of a circular crack, these equations can be inverted and solved by the method of consecutive interations. © Springer-Verlag Berlin Heidelberg 2001
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title_short	A crack of arbitrary shape inside an infinite transversely isotropic cylinder under arbitrary load
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up_date	2024-07-04T02:49:05Z
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