Szczegóły publikacji
Opis bibliograficzny
On choosing effective elasticity tensors using a Monte-Carlo method / Tomasz DANEK, Michael A. Slawinski // Acta Geophysica ; ISSN 1895-6572. — Tytuł poprz.: Acta Geophysica Polonica. — 2015 — vol. 63 no. 1, s. 45–61. — Bibliogr. s. 59–61, Abstr. — T. Danek - dod. afiliacja: Memorial University of Newfoundland, Canada
Autorzy (2)
- AGHDanek Tomasz
- Slawinski Michael A.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 93191 |
|---|---|
| Data dodania do BaDAP | 2015-10-09 |
| DOI | 10.2478/s11600-013-0197-y |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Acta Geophysica |
Abstract
A generally anisotropic elasticity tensor can be related to its closest counterparts in various symmetry classes. We refer to these counterparts as effective tensors in these classes. In finding effective tensors, we do not assume a priori orientations of their symmetry planes and axes. Knowledge of orientations of Hookean solids allows us to infer properties of materials represented by these solids. Obtaining orientations and parameter values of effective tensors is a highly nonlinear process involving finding absolute minima for orthogonal projections under all three-dimensional rotations. Given the standard deviations of the components of a generally anisotropic tensor, we examine the influence of measurement errors on the properties of effective tensors. We use a global optimization method to generate thousands of realizations of a generally anisotropic tensor, subject to errors. Using this optimization, we perform a Monte Carlo analysis of distances between that tensor and its counterparts in different symmetry classes, as well as of their orientations and elasticity parameters.
