Saint-Venant's problem with Voigt's hypotheses for anisotropic solids
Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the s...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1994 |
|---|
| Umfang: |
17 |
|---|
| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
|---|---|
| Übergeordnetes Werk: |
in: Journal of elasticity - 1971, 36(1994) vom: Feb., Seite 183-199 |
| Übergeordnetes Werk: |
volume:36 ; year:1994 ; month:02 ; pages:183-199 ; extent:17 |
| Links: |
|---|
| Katalog-ID: |
NLEJ193768895 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | NLEJ193768895 | ||
| 003 | DE-627 | ||
| 005 | 20210707214815.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 070526s1994 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)NLEJ193768895 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 245 | 1 | 0 | |a Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| 264 | 1 | |c 1994 | |
| 300 | |a 17 | ||
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. | ||
| 533 | |f Springer Online Journal Archives 1860-2002 | ||
| 700 | 1 | |a Daví, Fabrizio |4 oth | |
| 700 | 1 | |a Tiero, Alessandro |4 oth | |
| 773 | 0 | 8 | |i in |t Journal of elasticity |d 1971 |g 36(1994) vom: Feb., Seite 183-199 |w (DE-627)NLEJ188991999 |w (DE-600)2015283-8 |x 1573-2681 |7 nnns |
| 773 | 1 | 8 | |g volume:36 |g year:1994 |g month:02 |g pages:183-199 |g extent:17 |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/BF00040964 |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a ZDB-1-SOJ | ||
| 912 | |a GBV_NL_ARTICLE | ||
| 951 | |a AR | ||
| 952 | |d 36 |j 1994 |c 2 |h 183-199 |g 17 | ||
| matchkey_str |
article:15732681:1994----::anvnnsrbewtvithpteefr |
|---|---|
| hierarchy_sort_str |
1994 |
| publishDate |
1994 |
| allfields |
(DE-627)NLEJ193768895 DE-627 ger DE-627 rakwb eng Saint-Venant's problem with Voigt's hypotheses for anisotropic solids 1994 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. Springer Online Journal Archives 1860-2002 Daví, Fabrizio oth Tiero, Alessandro oth in Journal of elasticity 1971 36(1994) vom: Feb., Seite 183-199 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:36 year:1994 month:02 pages:183-199 extent:17 http://dx.doi.org/10.1007/BF00040964 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 36 1994 2 183-199 17 |
| spelling |
(DE-627)NLEJ193768895 DE-627 ger DE-627 rakwb eng Saint-Venant's problem with Voigt's hypotheses for anisotropic solids 1994 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. Springer Online Journal Archives 1860-2002 Daví, Fabrizio oth Tiero, Alessandro oth in Journal of elasticity 1971 36(1994) vom: Feb., Seite 183-199 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:36 year:1994 month:02 pages:183-199 extent:17 http://dx.doi.org/10.1007/BF00040964 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 36 1994 2 183-199 17 |
| allfields_unstemmed |
(DE-627)NLEJ193768895 DE-627 ger DE-627 rakwb eng Saint-Venant's problem with Voigt's hypotheses for anisotropic solids 1994 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. Springer Online Journal Archives 1860-2002 Daví, Fabrizio oth Tiero, Alessandro oth in Journal of elasticity 1971 36(1994) vom: Feb., Seite 183-199 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:36 year:1994 month:02 pages:183-199 extent:17 http://dx.doi.org/10.1007/BF00040964 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 36 1994 2 183-199 17 |
| allfieldsGer |
(DE-627)NLEJ193768895 DE-627 ger DE-627 rakwb eng Saint-Venant's problem with Voigt's hypotheses for anisotropic solids 1994 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. Springer Online Journal Archives 1860-2002 Daví, Fabrizio oth Tiero, Alessandro oth in Journal of elasticity 1971 36(1994) vom: Feb., Seite 183-199 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:36 year:1994 month:02 pages:183-199 extent:17 http://dx.doi.org/10.1007/BF00040964 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 36 1994 2 183-199 17 |
| allfieldsSound |
(DE-627)NLEJ193768895 DE-627 ger DE-627 rakwb eng Saint-Venant's problem with Voigt's hypotheses for anisotropic solids 1994 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. Springer Online Journal Archives 1860-2002 Daví, Fabrizio oth Tiero, Alessandro oth in Journal of elasticity 1971 36(1994) vom: Feb., Seite 183-199 (DE-627)NLEJ188991999 (DE-600)2015283-8 1573-2681 nnns volume:36 year:1994 month:02 pages:183-199 extent:17 http://dx.doi.org/10.1007/BF00040964 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 36 1994 2 183-199 17 |
| language |
English |
| source |
in Journal of elasticity 36(1994) vom: Feb., Seite 183-199 volume:36 year:1994 month:02 pages:183-199 extent:17 |
| sourceStr |
in Journal of elasticity 36(1994) vom: Feb., Seite 183-199 volume:36 year:1994 month:02 pages:183-199 extent:17 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| isfreeaccess_bool |
false |
| container_title |
Journal of elasticity |
| authorswithroles_txt_mv |
Daví, Fabrizio @@oth@@ Tiero, Alessandro @@oth@@ |
| publishDateDaySort_date |
1994-02-01T00:00:00Z |
| hierarchy_top_id |
NLEJ188991999 |
| id |
NLEJ193768895 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ193768895</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707214815.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070526s1994 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ193768895</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="245" ind1="1" ind2="0"><subfield code="a">Saint-Venant's problem with Voigt's hypotheses for anisotropic solids</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">17</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Springer Online Journal Archives 1860-2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Daví, Fabrizio</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tiero, Alessandro</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Journal of elasticity</subfield><subfield code="d">1971</subfield><subfield code="g">36(1994) vom: Feb., Seite 183-199</subfield><subfield code="w">(DE-627)NLEJ188991999</subfield><subfield code="w">(DE-600)2015283-8</subfield><subfield code="x">1573-2681</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:36</subfield><subfield code="g">year:1994</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:183-199</subfield><subfield code="g">extent:17</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1007/BF00040964</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SOJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">36</subfield><subfield code="j">1994</subfield><subfield code="c">2</subfield><subfield code="h">183-199</subfield><subfield code="g">17</subfield></datafield></record></collection>
|
| series2 |
Springer Online Journal Archives 1860-2002 |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)NLEJ188991999 |
| format |
electronic Article |
| delete_txt_mv |
keep |
| collection |
NL |
| remote_str |
true |
| illustrated |
Not Illustrated |
| issn |
1573-2681 |
| topic_title |
Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
f d fd a t at |
| hierarchy_parent_title |
Journal of elasticity |
| hierarchy_parent_id |
NLEJ188991999 |
| hierarchy_top_title |
Journal of elasticity |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)NLEJ188991999 (DE-600)2015283-8 |
| title |
Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| spellingShingle |
Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| ctrlnum |
(DE-627)NLEJ193768895 |
| title_full |
Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| journal |
Journal of elasticity |
| journalStr |
Journal of elasticity |
| lang_code |
eng |
| isOA_bool |
false |
| recordtype |
marc |
| publishDateSort |
1994 |
| contenttype_str_mv |
zzz |
| container_start_page |
183 |
| container_volume |
36 |
| physical |
17 |
| format_se |
Elektronische Aufsätze |
| title_sort |
saint-venant's problem with voigt's hypotheses for anisotropic solids |
| title_auth |
Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| abstract |
Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. |
| abstractGer |
Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. |
| abstract_unstemmed |
Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section. |
| collection_details |
GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE |
| title_short |
Saint-Venant's problem with Voigt's hypotheses for anisotropic solids |
| url |
http://dx.doi.org/10.1007/BF00040964 |
| remote_bool |
true |
| author2 |
Daví, Fabrizio Tiero, Alessandro |
| author2Str |
Daví, Fabrizio Tiero, Alessandro |
| ppnlink |
NLEJ188991999 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth |
| up_date |
2024-07-05T22:39:29.053Z |
| _version_ |
1803780535409967104 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ193768895</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707214815.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070526s1994 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ193768895</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="245" ind1="1" ind2="0"><subfield code="a">Saint-Venant's problem with Voigt's hypotheses for anisotropic solids</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">17</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We seek for a solution of Saint-Venant's problem for inhomogeneous and anisotropic materials under the assumptions, introduced by Voigt, that the stress is either constant along the axis of the cylinder or depends linearly on the axial coordinate. We first prove the uniqueness of the solution in terms of resultants, then we exhibit an explicit formula for such a solution; we show finally how Clebsch's hypothesis, that the stress vector on axial planes is parallel to the axis, is compatible with Voigt's hypotheses provided that the symmetry group of the material comprising the cylinder contains the reflections on the cross-section.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Springer Online Journal Archives 1860-2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Daví, Fabrizio</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tiero, Alessandro</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Journal of elasticity</subfield><subfield code="d">1971</subfield><subfield code="g">36(1994) vom: Feb., Seite 183-199</subfield><subfield code="w">(DE-627)NLEJ188991999</subfield><subfield code="w">(DE-600)2015283-8</subfield><subfield code="x">1573-2681</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:36</subfield><subfield code="g">year:1994</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:183-199</subfield><subfield code="g">extent:17</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1007/BF00040964</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SOJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">36</subfield><subfield code="j">1994</subfield><subfield code="c">2</subfield><subfield code="h">183-199</subfield><subfield code="g">17</subfield></datafield></record></collection>
|
| score |
7.401578 |