Matches in SemOpenAlex for { <https://semopenalex.org/work/W1552874150> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W1552874150 endingPage "370" @default.
- W1552874150 startingPage "369" @default.
- W1552874150 abstract "The well-known isotropic Hencky strain energy appears naturally as a distance measure of the deformation gradient to the set of rigid rotations in a canonical left-invariant Riemannian metric on the general linear group GL(n). Objectivity requires the Riemannian metric to be left-GL(n) invariant, isotropy requires the Riemannian metric to be right-O(n) invariant. The latter two conditions are satisfied for a three-parameter family of Riemannian metrics on the tangent space of GL(n). Surprisingly, the final result is basically independent of the chosen parameters. In deriving the result, geodesics on GL(n) have to be parametrized and a novel minimization problem, involving the matrix logarithm for non-symmetric arguments, has to be solved. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W1552874150 created "2016-06-24" @default.
- W1552874150 creator A5046930021 @default.
- W1552874150 creator A5059390379 @default.
- W1552874150 creator A5078006828 @default.
- W1552874150 creator A5087597359 @default.
- W1552874150 date "2013-11-29" @default.
- W1552874150 modified "2023-10-16" @default.
- W1552874150 title "The Hencky strain energy ‖log U ‖2 measures the geodesic distance of the deformation gradient to SO(n ) in the canonical left-invariant Riemannian metric on GL(n )" @default.
- W1552874150 cites W1552874150 @default.
- W1552874150 cites W56295171 @default.
- W1552874150 doi "https://doi.org/10.1002/pamm.201310180" @default.
- W1552874150 hasPublicationYear "2013" @default.
- W1552874150 type Work @default.
- W1552874150 sameAs 1552874150 @default.
- W1552874150 citedByCount "23" @default.
- W1552874150 countsByYear W15528741502013 @default.
- W1552874150 countsByYear W15528741502014 @default.
- W1552874150 countsByYear W15528741502015 @default.
- W1552874150 countsByYear W15528741502016 @default.
- W1552874150 countsByYear W15528741502017 @default.
- W1552874150 countsByYear W15528741502018 @default.
- W1552874150 countsByYear W15528741502019 @default.
- W1552874150 crossrefType "journal-article" @default.
- W1552874150 hasAuthorship W1552874150A5046930021 @default.
- W1552874150 hasAuthorship W1552874150A5059390379 @default.
- W1552874150 hasAuthorship W1552874150A5078006828 @default.
- W1552874150 hasAuthorship W1552874150A5087597359 @default.
- W1552874150 hasBestOaLocation W15528741501 @default.
- W1552874150 hasConcept C102224218 @default.
- W1552874150 hasConcept C109546454 @default.
- W1552874150 hasConcept C114614502 @default.
- W1552874150 hasConcept C121332964 @default.
- W1552874150 hasConcept C12520029 @default.
- W1552874150 hasConcept C129049296 @default.
- W1552874150 hasConcept C134306372 @default.
- W1552874150 hasConcept C157157409 @default.
- W1552874150 hasConcept C165818556 @default.
- W1552874150 hasConcept C181104567 @default.
- W1552874150 hasConcept C184050105 @default.
- W1552874150 hasConcept C190470478 @default.
- W1552874150 hasConcept C195065555 @default.
- W1552874150 hasConcept C2524010 @default.
- W1552874150 hasConcept C33923547 @default.
- W1552874150 hasConcept C37914503 @default.
- W1552874150 hasConcept C39927690 @default.
- W1552874150 hasConcept C42448751 @default.
- W1552874150 hasConcept C62520636 @default.
- W1552874150 hasConceptScore W1552874150C102224218 @default.
- W1552874150 hasConceptScore W1552874150C109546454 @default.
- W1552874150 hasConceptScore W1552874150C114614502 @default.
- W1552874150 hasConceptScore W1552874150C121332964 @default.
- W1552874150 hasConceptScore W1552874150C12520029 @default.
- W1552874150 hasConceptScore W1552874150C129049296 @default.
- W1552874150 hasConceptScore W1552874150C134306372 @default.
- W1552874150 hasConceptScore W1552874150C157157409 @default.
- W1552874150 hasConceptScore W1552874150C165818556 @default.
- W1552874150 hasConceptScore W1552874150C181104567 @default.
- W1552874150 hasConceptScore W1552874150C184050105 @default.
- W1552874150 hasConceptScore W1552874150C190470478 @default.
- W1552874150 hasConceptScore W1552874150C195065555 @default.
- W1552874150 hasConceptScore W1552874150C2524010 @default.
- W1552874150 hasConceptScore W1552874150C33923547 @default.
- W1552874150 hasConceptScore W1552874150C37914503 @default.
- W1552874150 hasConceptScore W1552874150C39927690 @default.
- W1552874150 hasConceptScore W1552874150C42448751 @default.
- W1552874150 hasConceptScore W1552874150C62520636 @default.
- W1552874150 hasIssue "1" @default.
- W1552874150 hasLocation W15528741501 @default.
- W1552874150 hasOpenAccess W1552874150 @default.
- W1552874150 hasPrimaryLocation W15528741501 @default.
- W1552874150 hasRelatedWork W1981631252 @default.
- W1552874150 hasRelatedWork W2062613496 @default.
- W1552874150 hasRelatedWork W2617088617 @default.
- W1552874150 hasRelatedWork W2737579912 @default.
- W1552874150 hasRelatedWork W2905037418 @default.
- W1552874150 hasRelatedWork W2951063711 @default.
- W1552874150 hasRelatedWork W2999284236 @default.
- W1552874150 hasRelatedWork W4249424264 @default.
- W1552874150 hasRelatedWork W4291625303 @default.
- W1552874150 hasRelatedWork W4385435140 @default.
- W1552874150 hasVolume "13" @default.
- W1552874150 isParatext "false" @default.
- W1552874150 isRetracted "false" @default.
- W1552874150 magId "1552874150" @default.
- W1552874150 workType "article" @default.