Arbitrary point force in arbitrarily oriented transversely isotropic body
Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orie...
Ausführliche Beschreibung
Autor*in: |
Fabrikant, V. I. [verfasserIn] |
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Artikel |
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Sprache: |
Englisch |
Erschienen: |
2012 |
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Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2012 |
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Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer-Verlag, 1991, 83(2012), 4 vom: 04. Okt., Seite 533-548 |
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Übergeordnetes Werk: |
volume:83 ; year:2012 ; number:4 ; day:04 ; month:10 ; pages:533-548 |
Links: |
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DOI / URN: |
10.1007/s00419-012-0702-9 |
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Katalog-ID: |
OLC2071055179 |
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520 | |a Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. | ||
650 | 4 | |a Crack Problem | |
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10.1007/s00419-012-0702-9 doi (DE-627)OLC2071055179 (DE-He213)s00419-012-0702-9-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut Arbitrary point force in arbitrarily oriented transversely isotropic body 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2012 Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. Crack Problem Contour Integral Point Force Isotropic Body Isotropic Space Enthalten in Archive of applied mechanics Springer-Verlag, 1991 83(2012), 4 vom: 04. Okt., Seite 533-548 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:83 year:2012 number:4 day:04 month:10 pages:533-548 https://doi.org/10.1007/s00419-012-0702-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 83 2012 4 04 10 533-548 |
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10.1007/s00419-012-0702-9 doi (DE-627)OLC2071055179 (DE-He213)s00419-012-0702-9-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut Arbitrary point force in arbitrarily oriented transversely isotropic body 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2012 Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. Crack Problem Contour Integral Point Force Isotropic Body Isotropic Space Enthalten in Archive of applied mechanics Springer-Verlag, 1991 83(2012), 4 vom: 04. Okt., Seite 533-548 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:83 year:2012 number:4 day:04 month:10 pages:533-548 https://doi.org/10.1007/s00419-012-0702-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 83 2012 4 04 10 533-548 |
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10.1007/s00419-012-0702-9 doi (DE-627)OLC2071055179 (DE-He213)s00419-012-0702-9-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut Arbitrary point force in arbitrarily oriented transversely isotropic body 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2012 Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. Crack Problem Contour Integral Point Force Isotropic Body Isotropic Space Enthalten in Archive of applied mechanics Springer-Verlag, 1991 83(2012), 4 vom: 04. Okt., Seite 533-548 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:83 year:2012 number:4 day:04 month:10 pages:533-548 https://doi.org/10.1007/s00419-012-0702-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 83 2012 4 04 10 533-548 |
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10.1007/s00419-012-0702-9 doi (DE-627)OLC2071055179 (DE-He213)s00419-012-0702-9-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut Arbitrary point force in arbitrarily oriented transversely isotropic body 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2012 Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. Crack Problem Contour Integral Point Force Isotropic Body Isotropic Space Enthalten in Archive of applied mechanics Springer-Verlag, 1991 83(2012), 4 vom: 04. Okt., Seite 533-548 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:83 year:2012 number:4 day:04 month:10 pages:533-548 https://doi.org/10.1007/s00419-012-0702-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 83 2012 4 04 10 533-548 |
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10.1007/s00419-012-0702-9 doi (DE-627)OLC2071055179 (DE-He213)s00419-012-0702-9-p DE-627 ger DE-627 rakwb eng 690 VZ Fabrikant, V. I. verfasserin aut Arbitrary point force in arbitrarily oriented transversely isotropic body 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2012 Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. Crack Problem Contour Integral Point Force Isotropic Body Isotropic Space Enthalten in Archive of applied mechanics Springer-Verlag, 1991 83(2012), 4 vom: 04. Okt., Seite 533-548 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:83 year:2012 number:4 day:04 month:10 pages:533-548 https://doi.org/10.1007/s00419-012-0702-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 83 2012 4 04 10 533-548 |
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Arbitrary point force in arbitrarily oriented transversely isotropic body |
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Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. © Springer-Verlag Berlin Heidelberg 2012 |
abstractGer |
Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. © Springer-Verlag Berlin Heidelberg 2012 |
abstract_unstemmed |
Abstract The published traditional point force problem solutions usually orient axes of coordinates in such a way that plane xOy is parallel to the planes of isotropy. We consider here a general case: an arbitrary point force is applied inside a transversely isotropic space, with arbitrary axes orientation. We obtain the field of displacements and stresses in terms of contour integrals, which are computable, because the solution for the traditional case is known. Identification of the set of contour integrals, which look impossible to compute, is a necessary first step toward the solution of non-traditional contact and crack problems for arbitrarily oriented cracks and punches. © Springer-Verlag Berlin Heidelberg 2012 |
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title_short |
Arbitrary point force in arbitrarily oriented transversely isotropic body |
url |
https://doi.org/10.1007/s00419-012-0702-9 |
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2024-07-04T02:50:19.890Z |
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