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|
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Список литературы
|
|
| |
| 1. |
Sharpe W.N., “Mechanical Properties of MEMS Materials”, The MEMS Handbook, Chapter 3, ed. M. Gad-el-Hak, CRC Press, 2002, 1–33 |
| 2. |
Hill R., “On Constitutive Macro-Variables for Heterogeneous Solids at Finite Strain.”, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 326:1565 (1972), 131–147 http://www.jstor.org/stable/78044 (accessed: July 1, 2022) |
| 3. |
Torquato S., Random Heterogeneous Materials: Microstructure and Macroscopic Properties., Interdisciplinary Applied Mathematics, 16, 2002   |
| 4. |
Adams B., Olson T., “The mesostructure-properties linkage in polycrystals.”, Progress in Materials Science, 43:1 (1998), 1–87 |
| 5. |
Voigt W., Lehrbuch der Kristallphysik (mit Ausschluss der Kristalloptik), Springer, Wiesbaden, 1910 |
| 6. |
Reuss A., “Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitatsbedingung fur Einkristalle.”, Zeitschrift fur Angewandte Mathematik und Mechanik, 9:1 (1929), 49–58 |
| 7. |
Beran M., Statistical Continuum Theories., Monographs in statistical physics and thermodynamics, Interscience Publishers, 1968 |
| 8. |
Hooke R., De Potentia Restitutiva, or of Spring Explaining the Power of Springing Bodies, John Martyn, London, 1678 http://name.umdl.umich.edu/A44322.0001.001 (accessed: July 1, 2022) |
| 9. |
Hooke R., A Description of Helioscopes and Some other Instruments, John Martyn, London, 1676 |
| 10. |
Halmos P.R., Finite-Dimensional Vector Spaces, Springer, New York, 1958 |
| 11. |
Rychlewski J., “Unconventional approach to linear elasticity.”, Archives of Mechanics, 47:5 (1995), 149–171 |
| 12. |
Kowalczyk-Gajewska K., Ostrowska-Maciejewska J., “Review on spectral decomposition of Hooke's tensor for all symmetry groups of linear elastic material”, Engineering Transactions, 57:3-4 (2009), 145–1183 http://et.ippt.gov.pl/index.php/et/article/view/172 (accessed: July 1, 2022) |
| 13. |
Nordmann J., Aßmus M., Altenbach H., “Visualising Elastic Anisotropy: Theoretical Background and Computational Implementation.”, Continuum Mechanics and Thermodynamics, 30:4 (2018), 689–708 |
| 14. |
Aleksandrov K.S., Aizenberg L.A., “A method of calculating the physical constants of polycrystalline materials.”, Doklady Akademii Nauk SSSR, 167:5 (1966), 1028–1031 (Russian)  |
| 15. |
Nemat-Nasser S., Hori M., Micromechanics: Overall Properties of Heterogeneous Solids., Elsevier, New York, 1993 |
| 16. |
Jensen J.L.W.V., “Sur les fonctions convexes et les inegalites entre les valeurs moyennes.”, Acta Mathematica, 30 (1906), 175-193 |
| 17. |
Hill R., “The Elastic Behaviour of a Crystalline Aggregate.”, Proceedings of the Physical Society A, 65:5 (1952), 349–354 |
| 18. |
Hashin Z., Shtrikman S., “A variational approach to the theory of the elastic behaviour of polycrystals.”, Journal of the Mechanics and Physics of Solids, 10:4 (1962), 343–352 |
| 19. |
Assmus M., Gluge R., Altenbach H., “Hashin - Shtrikman Bounds of Cubic Crystalline Aggregate Elasticity for poly-Si Solar Cells”, Technische Mechanik, 41:1 (2021), 24–33 |
| 20. |
Huang M., “Perturbation approach to elastic constitutive relations of polycrystals”, Journal of the Mechanics and Physics of Solids, 52:8 (2004), 1827–1853 |
| 21. |
Huang M., Man C.-S., “Explicit Bounds of Effective Stiffness Tensors for Textured Aggregates of Cubic Crystallites.”, Mathematics and Mechanics of Solids, 13:5 (2008), 408–430 |
| 22. |
Fokin A.G., “Solution of statistical problems in elasticity theory in the singular approximation.”, Journal of Applied Mechanics and Technical Physics, 13 (1972), 85-89 |
| 23. |
Matthies S., Humbert M., “On the Principle of a Geometric Mean of Even-Rank Symmetric Tensors for Textured Polycrystals.”, Journal of Applied Crystallography, 28:3 (1995), 254–266 |
| 24. |
Mason W.P., Physical Acoustics and the Properties of Solids, D. Van Nostrand Co., Princeton, New Jersey, 1958 https://hdl.handle.net/2027/mdp.39015006372356 (accessed: July 1, 2022) |
