The invariant representation of spins with applications in the theory of finite deformations
Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discuss...
Ausführliche Beschreibung
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| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1990 |
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| Umfang: |
8 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Acta mechanica Sinica - 1985, 6(1990) vom: Feb., Seite 133-140 |
| Übergeordnetes Werk: |
volume:6 ; year:1990 ; month:02 ; pages:133-140 ; extent:8 |
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| 520 | |a Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. | ||
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| 700 | 1 | |a Zhuping, Duan |4 oth | |
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(DE-627)NLEJ206676360 DE-627 ger DE-627 rakwb eng The invariant representation of spins with applications in the theory of finite deformations 1990 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. Springer Online Journal Archives 1860-2002 Wenbiao, Wang oth Zhuping, Duan oth in Acta mechanica Sinica 1985 6(1990) vom: Feb., Seite 133-140 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:6 year:1990 month:02 pages:133-140 extent:8 http://dx.doi.org/10.1007/BF02488444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 6 1990 2 133-140 8 |
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(DE-627)NLEJ206676360 DE-627 ger DE-627 rakwb eng The invariant representation of spins with applications in the theory of finite deformations 1990 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. Springer Online Journal Archives 1860-2002 Wenbiao, Wang oth Zhuping, Duan oth in Acta mechanica Sinica 1985 6(1990) vom: Feb., Seite 133-140 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:6 year:1990 month:02 pages:133-140 extent:8 http://dx.doi.org/10.1007/BF02488444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 6 1990 2 133-140 8 |
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(DE-627)NLEJ206676360 DE-627 ger DE-627 rakwb eng The invariant representation of spins with applications in the theory of finite deformations 1990 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. Springer Online Journal Archives 1860-2002 Wenbiao, Wang oth Zhuping, Duan oth in Acta mechanica Sinica 1985 6(1990) vom: Feb., Seite 133-140 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:6 year:1990 month:02 pages:133-140 extent:8 http://dx.doi.org/10.1007/BF02488444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 6 1990 2 133-140 8 |
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(DE-627)NLEJ206676360 DE-627 ger DE-627 rakwb eng The invariant representation of spins with applications in the theory of finite deformations 1990 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. Springer Online Journal Archives 1860-2002 Wenbiao, Wang oth Zhuping, Duan oth in Acta mechanica Sinica 1985 6(1990) vom: Feb., Seite 133-140 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:6 year:1990 month:02 pages:133-140 extent:8 http://dx.doi.org/10.1007/BF02488444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 6 1990 2 133-140 8 |
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(DE-627)NLEJ206676360 DE-627 ger DE-627 rakwb eng The invariant representation of spins with applications in the theory of finite deformations 1990 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. Springer Online Journal Archives 1860-2002 Wenbiao, Wang oth Zhuping, Duan oth in Acta mechanica Sinica 1985 6(1990) vom: Feb., Seite 133-140 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:6 year:1990 month:02 pages:133-140 extent:8 http://dx.doi.org/10.1007/BF02488444 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 6 1990 2 133-140 8 |
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the invariant representation of spins with applications in the theory of finite deformations |
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The invariant representation of spins with applications in the theory of finite deformations |
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Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. |
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Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. |
| abstract_unstemmed |
Abstract Based on the general solution given to a kind of linear tensor equations, the spin of a symmetric tensor is derived in an invariant form. The result is applied to find the spins of the left and the right stretch tensors and the relation among different rotation rate tensors has been discussed. According to work conjugacy, the relations between Cauchy stress and the stresses conjugate to Hill's generalized strains are obtained. Particularly, the logarithmic strain, its time rate and the conjugate stress have been discussed in detail. These results are important in modeling the constitutive relations for finite deformations in continuum mechanics. |
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