A Minimal Integrity Basis for the Elasticity Tensor
In: Engineering Mechanics Institute Conference 2018 Engineering Mechanics Institute Conference 2018, May 2018, Boston, United States Archive for Rational Mechanics and Analysis Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩ Archive for Rational Mechanics and Analysis, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩; (2018-05-29)
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Zugriff:
International audience; We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C. Decomposing C into its SO(3)-irreducible components we reduce this problem to finding joint invariants of a triplet (a, b, D), where a and b are second-order harmonic tensors, and D is a fourth-order harmonic tensor. Combining theorems of classical invariant theory and formal computations, a minimal integrity basis of 297 polynomial invariants for the elasticity tensor is obtained for the first time.
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A Minimal Integrity Basis for the Elasticity Tensor
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| Autor/in / Beteiligte Person: | Olive, Marc ; Kolev, Boris ; Auffray, Nicolas ; Laboratoire de Mécanique et Technologie (LMT) ; École normale supérieure - Cachan (ENS Cachan)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS) ; Laboratoire de Modélisation et Simulation Multi Echelle (MSME) ; Centre National de la Recherche Scientifique (CNRS)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Université Paris-Est Marne-la-Vallée (UPEM) ; Université Paris-Est Marne-la-Vallée (UPEM)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS) ; École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS) ; Institut de Mathématiques de Marseille (I2M) ; Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU) ; Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) ; Laboratoire de Mécanique et Technologie ( LMT ) ; École normale supérieure - Cachan ( ENS Cachan ) -Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Centre National de la Recherche Scientifique ( CNRS ) ; Laboratoire de Modélisation et Simulation Multi Echelle ( MSME ) ; Centre National de la Recherche Scientifique ( CNRS ) -Université Paris-Est Créteil Val-de-Marne - Paris 12 ( UPEC UP12 ) -Université Paris-Est Marne-la-Vallée ( UPEM ) |
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| Quelle: | Engineering Mechanics Institute Conference 2018 Engineering Mechanics Institute Conference 2018, May 2018, Boston, United States Archive for Rational Mechanics and Analysis Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩ Archive for Rational Mechanics and Analysis, 2017, 226 (1), pp.1-31. ⟨10.1007/s00205-017-1127-y⟩; (2018-05-29) |
| Veröffentlichung: | HAL CCSD, 2018 |
| Medientyp: | unknown |
| ISSN: | 0003-9527 (print) ; 1432-0673 (print) |
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