Spectral decomposition of anisotropic elasticity

Acta Mechanica

Volumn 150, Issue 3-4, 2001, Pages 237-261

  Theocaris, P S ^a   Sokolis, D P ^a  

^a BIOMEDICAL RESEARCH FOUNDATION   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040750457     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01181814     Document Type: Article

References (25)

1. Rychlewski, J.: On Hooke's law. Prikl. Matem. Mckhan. 48, 303-314 (1984).
2. Thomson, W. K.: Elements of a mathematical theory of elasticity. Phil. Trans. R. Soc. 166, 481-498 (1856).
3. Thomson, W. K.: Encyclopaedia Britannica. Edinburgh: Adam and Charles Black 1878.
4. Rychlewski, J.: Unconventional approach to linear elasticity. Arch. Mech. Stosow. 47, 149-171 (1995).
5. Blinowski, A., Ostrowska-Maciejewska. J.: On the elastic orthotropy. Arch. Mech. Stosow. 48, 129-141 (1996).
6. Theocaris, P. S., Philippidis, T. P.: Variational bounds on the eigenangle ω of transversely isotropic materials. Acta Mech. 85, 13-26 (1990).
7. Theocaris, P. S., Philippidis, T. P.: Spectral decomposition of compliance and stiffness fourth-rank tensors suitable for orthotropic materials. ZAMM 71, 161-171 (1991).
8. Mehrabadi, M. M., Cowin, S. C.: Eigentensors of linear anisotropic elastic materials. Quart. J. Mech. Appl. Math. 43, 15-41 (1990).
9. Cowin, S. C., Mehrabadi, M. M.: On the structure of the linear anisotropic elastic symmetries. J. Mech. Phys. Solids 40, 1459-1472 (1992).
10. Sutcliffe, S.: Spectral decomposition of the elasticity tensor. J. Appl. Mech. 59, 762-773 (1992).
11. Theocaris, P. S., Sokolis, D. P.: Spectral decomposition of the compliance tensor for anisotropic plates. J. Elasticity 51, 89-103 (1998).
12. Theocaris, P. S., Sokolis, D. P.: Spectral decomposition of the linear elastic tensor for monoclinic symmetry. Acta Cryst. A 55, 635-647 (1999).
13. Hooke, R.: Lecture de potentia restitutiva. or of spring, explaining the power of springing bodies to which are added some collections. London: Martin 1678.
14. th ed. Cambridge: University Press 1927.
15. Sokolnikoff, I. S.: Mathematical theory of elasticity. New York: McGraw-Hill 1946.
16. Timoshenko, S. P., Goodier, J.: Theory of elasticity, 2nd ed. New York: McGraw-Hill 1951.
17. Kittel, C: Introduction to solid state physics, 2nd ed. New York: Wiley; London: Chapman and Hall 1956.
18. Voigt, W.: Lehrbuch der Kristallphysik. Leipzig: Teubner (1910, reprinted 1928).
19. Nye, J. F.: Physical properties of crystals: their representation by tensors and matrices. Oxford: Clarendon Press 1957.
20. Hearmon, R. F. S.: An introduction to applied anisotropic elasticity. Oxford: Clarendon Press 1961.
21. Lekhnitskii, S.: Theory of elasticity of an anisotropic elastic body. San Francisco: Holden-Day 1963.
22. Neumann, F.: Vorlesungen über die Theorie der Elastizität. Leipzig 1885.
23. Mason, W. P.: Crystal physics of interaction processes. New York London: Academic Press 1966.
24. Gurtin, M. E.: The linear theory of elasticity. Encylopaedia of Physics, vol. vla/2. Berlin: Springer 1972.
25. Thurston, R. N.: Waves in solids. Encyclopaedia of Physics, vol. vla/4. Berlin: Springer 1974.