Szczegóły publikacji
Opis bibliograficzny
Effective elasticity tensors in context of random errors / Tomasz DANEK, Mikhail Kochetov, Michael A. Slawinski // Journal of Elasticity ; ISSN 0374-3535. — 2015 — vol. 121 iss. 1, s. 55–67. — Bibliogr. s. 66–67, Abstr.
Autorzy (3)
- AGHDanek Tomasz
- Kochetov M.
- Slawinski M. A.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 93187 |
|---|---|
| Data dodania do BaDAP | 2015-10-09 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s10659-015-9519-4 |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp | |
| Czasopismo/seria | Journal of Elasticity |
Abstract
We introduce the effective elasticity tensor of a chosen material-symmetry class to represent a measured generally anisotropic elasticity tensor by minimizing the weighted Frobenius distance from the given tensor to its symmetric counterpart, where the weights are determined by the experimental errors. The resulting effective tensor is the highest-likelihood estimate within the specified symmetry class. Given two material-symmetry classes, with one included in the other, the weighted Frobenius distance from the given tensor to the two effective tensors can be used to decide between the two models-one with higher and one with lower symmetry-by means of the likelihood ratio test.