Artículo
Povolo, F.; Bolmaro, R.E. "Average elastic constants and tensor invariants" (1987) physica status solidi (a). 99(2):423-436
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Abstract:
A general formalism is presented that can be used to calculate the average elastic constants of a polycrystal in terms of the elastic constant of the single crystal. The formalism is based on the invariants of the second‐rank tensors and scalars obtained by a contraction of indices of the fourthrank tensor of the elastic constants. It is shown that both, Voigt and Reuss averages are particular cases of the proposed method. The results are compared with actual experimental data obtained in crystals with different symmetries and the physical significance of some of the invariants is discussed. Finally, a general relationship expressing Hooke's law in terms of 3 × 3 matrices of the elastic constants is given. Copyright © 1987 WILEY‐VCH Verlag GmbH & Co. KGaA
Registro:
| Documento: | Artículo |
| Título: | Average elastic constants and tensor invariants |
| Autor: | Povolo, F.; Bolmaro, R.E. |
| Filiación: | Facultad de Ciencias Exactas y Naturales, Dto. de Fisica Universidad de Buenos Aires Faultad de Ciencias Exactas E Ingeniería, Dto. de Física. Instituto de Física Unversidad Nacional de Rosario, Argentina |
| Año: | 1987 |
| Volumen: | 99 |
| Número: | 2 |
| Página de inicio: | 423 |
| Página de fin: | 436 |
| DOI: | http://dx.doi.org/10.1002/pssa.2210990212 |
| Título revista: | physica status solidi (a) |
| Título revista abreviado: | Phys Status Solidi A |
| ISSN: | 00318965 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00318965_v99_n2_p423_Povolo |
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Citas:
---------- APA ----------
Povolo, F. & Bolmaro, R.E. (1987) . Average elastic constants and tensor invariants. physica status solidi (a), 99(2), 423-436.http://dx.doi.org/10.1002/pssa.2210990212
---------- CHICAGO ----------
Povolo, F., Bolmaro, R.E. "Average elastic constants and tensor invariants" . physica status solidi (a) 99, no. 2 (1987) : 423-436.http://dx.doi.org/10.1002/pssa.2210990212
---------- MLA ----------
Povolo, F., Bolmaro, R.E. "Average elastic constants and tensor invariants" . physica status solidi (a), vol. 99, no. 2, 1987, pp. 423-436.http://dx.doi.org/10.1002/pssa.2210990212
---------- VANCOUVER ----------
Povolo, F., Bolmaro, R.E. Average elastic constants and tensor invariants. Phys Status Solidi A. 1987;99(2):423-436.http://dx.doi.org/10.1002/pssa.2210990212
