Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012990634> ?p ?o ?g. }
- W2012990634 abstract "In both theoretical and applied mechanics, the modeling of nonlinear constitutive relations of materials is a topic of prime importance. To properly formulate consistent constitutive laws some restrictions need to be imposed on tensor functions. To that aim, representations theorems for both isotropic and anisotropic functions have been extensively investigated since the middle of the 20th century. Nevertheless, in three-dimensional physical space, most of the results are restricted to sets of tensors up to second-order. The purpose of the present paper is thus to get one step further and to provide an integrity basis for isotropic polynomial functions of a completely symmetric third-order tensor. We exploit the link between the O(3)-action on harmonic tensors and the documentclass[12pt]{minimal}begin{document}$mathrm{SL}(2,mathbb {C})$end{document} SL (2,C)-action on the space of binary forms to explicitly construct this basis. We believe that such an integrity basis may found interesting applications both in continuum mechanics and in other fields of theoretical physics." @default.
- W2012990634 created "2016-06-24" @default.
- W2012990634 creator A5025903971 @default.
- W2012990634 creator A5040318583 @default.
- W2012990634 date "2014-09-01" @default.
- W2012990634 modified "2023-10-17" @default.
- W2012990634 title "Isotropic invariants of a completely symmetric third-order tensor" @default.
- W2012990634 cites W1574216888 @default.
- W2012990634 cites W1966687966 @default.
- W2012990634 cites W1970960028 @default.
- W2012990634 cites W1972886286 @default.
- W2012990634 cites W1974552079 @default.
- W2012990634 cites W1996559312 @default.
- W2012990634 cites W2004317533 @default.
- W2012990634 cites W2023301383 @default.
- W2012990634 cites W2024328857 @default.
- W2012990634 cites W2026194745 @default.
- W2012990634 cites W2026978275 @default.
- W2012990634 cites W2027941247 @default.
- W2012990634 cites W2032277981 @default.
- W2012990634 cites W2041008991 @default.
- W2012990634 cites W2041405437 @default.
- W2012990634 cites W2042743612 @default.
- W2012990634 cites W2050236916 @default.
- W2012990634 cites W2059368754 @default.
- W2012990634 cites W2071418506 @default.
- W2012990634 cites W2072317167 @default.
- W2012990634 cites W2073672168 @default.
- W2012990634 cites W2075737377 @default.
- W2012990634 cites W2080335668 @default.
- W2012990634 cites W2080797205 @default.
- W2012990634 cites W2082972885 @default.
- W2012990634 cites W2084113519 @default.
- W2012990634 cites W2103931268 @default.
- W2012990634 cites W2115739537 @default.
- W2012990634 doi "https://doi.org/10.1063/1.4895466" @default.
- W2012990634 hasPublicationYear "2014" @default.
- W2012990634 type Work @default.
- W2012990634 sameAs 2012990634 @default.
- W2012990634 citedByCount "22" @default.
- W2012990634 countsByYear W20129906342015 @default.
- W2012990634 countsByYear W20129906342016 @default.
- W2012990634 countsByYear W20129906342017 @default.
- W2012990634 countsByYear W20129906342018 @default.
- W2012990634 countsByYear W20129906342019 @default.
- W2012990634 countsByYear W20129906342020 @default.
- W2012990634 countsByYear W20129906342021 @default.
- W2012990634 countsByYear W20129906342022 @default.
- W2012990634 countsByYear W20129906342023 @default.
- W2012990634 crossrefType "journal-article" @default.
- W2012990634 hasAuthorship W2012990634A5025903971 @default.
- W2012990634 hasAuthorship W2012990634A5040318583 @default.
- W2012990634 hasBestOaLocation W20129906342 @default.
- W2012990634 hasConcept C10138342 @default.
- W2012990634 hasConcept C111919701 @default.
- W2012990634 hasConcept C121332964 @default.
- W2012990634 hasConcept C12426560 @default.
- W2012990634 hasConcept C134306372 @default.
- W2012990634 hasConcept C135628077 @default.
- W2012990634 hasConcept C155281189 @default.
- W2012990634 hasConcept C158158286 @default.
- W2012990634 hasConcept C158622935 @default.
- W2012990634 hasConcept C162324750 @default.
- W2012990634 hasConcept C166077713 @default.
- W2012990634 hasConcept C182306322 @default.
- W2012990634 hasConcept C184050105 @default.
- W2012990634 hasConcept C20178491 @default.
- W2012990634 hasConcept C202444582 @default.
- W2012990634 hasConcept C202973686 @default.
- W2012990634 hasConcept C2524010 @default.
- W2012990634 hasConcept C2778572836 @default.
- W2012990634 hasConcept C2780791683 @default.
- W2012990634 hasConcept C33332235 @default.
- W2012990634 hasConcept C33923547 @default.
- W2012990634 hasConcept C37914503 @default.
- W2012990634 hasConcept C41008148 @default.
- W2012990634 hasConcept C520416788 @default.
- W2012990634 hasConcept C62520636 @default.
- W2012990634 hasConcept C74650414 @default.
- W2012990634 hasConcept C85725439 @default.
- W2012990634 hasConcept C90952326 @default.
- W2012990634 hasConcept C97355855 @default.
- W2012990634 hasConceptScore W2012990634C10138342 @default.
- W2012990634 hasConceptScore W2012990634C111919701 @default.
- W2012990634 hasConceptScore W2012990634C121332964 @default.
- W2012990634 hasConceptScore W2012990634C12426560 @default.
- W2012990634 hasConceptScore W2012990634C134306372 @default.
- W2012990634 hasConceptScore W2012990634C135628077 @default.
- W2012990634 hasConceptScore W2012990634C155281189 @default.
- W2012990634 hasConceptScore W2012990634C158158286 @default.
- W2012990634 hasConceptScore W2012990634C158622935 @default.
- W2012990634 hasConceptScore W2012990634C162324750 @default.
- W2012990634 hasConceptScore W2012990634C166077713 @default.
- W2012990634 hasConceptScore W2012990634C182306322 @default.
- W2012990634 hasConceptScore W2012990634C184050105 @default.
- W2012990634 hasConceptScore W2012990634C20178491 @default.
- W2012990634 hasConceptScore W2012990634C202444582 @default.
- W2012990634 hasConceptScore W2012990634C202973686 @default.
- W2012990634 hasConceptScore W2012990634C2524010 @default.
- W2012990634 hasConceptScore W2012990634C2778572836 @default.