journal article·1998-05

Spectral Decomposition of the Compliance Tensor for Anisotropic Plates

Pericles S. Theocaris, Dimitrios P. Sokolis

Journal of Elasticity· Volume 51· Issue 2
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OpenAlex topics: Composite Material Mechanics · Composite Structure Analysis and Optimization · Elasticity and Material Modeling

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References (30)

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1. Blakslee, O.L., Proctor, D.G., Seldin, E.J., Spence, G.B., Weng, T.: Elastic constants of compression-annealed pyrolytic graphite. J. Appl. Phys. 41(8), (1970) 3373-3382.10.1063/1.1659428 ↗
2. Blessing, G.V., Elban, W.L.: Aluminum matrix composite elasticity measured ultrasonically. J. Appl. Mech. 48(1981), 965-966.10.1115/1.3157763 ↗
3. Bridgeman P.W.: Considerations on rupture under triaxial stress. Mechanical Engineering(1939), 107-111.
4. Chevalier Y. and Nouamani Y.: Effective viscoelastic behaviour of woven composite. London: Elsevier 1990.
5. Gieske, J.H., Allred, R.E.: Elastic constants of B-Al composites by ultrasonic velocity measurements. Exp. Mech. 14(1974), 158-165.10.1007/BF02322839 ↗
6. Huntington, H.B.: The elastic constants of crystals. New York: Academic Press 1958.
7. Ishikawa T., Chou T.W.: Stiffness and strength behaviour of woven fabric composites. J. Mat. Sci. 17(1982), 3211-3220.10.1007/BF01203485 ↗
8. Jones, R.M.: Mechanics of composite materials. McGraw-Hill Kogakusha Ltd Tokyo 1975.
9. Knight, M.: Three-dimensional elastic moduli of graphite/epoxy composites. J. Comp. Mater. 16(3) (1982), 153-159.10.1177/002199838201600206 ↗
10. Lekhnitskii, S.G.: Anisotropic plates. New York: Gordon and Breach 1968.
11. Mehrabadi, M.M., Cowin, S.C.: Eigentensors of linear anisotropic elastic materials. Quart. J. Mech. Appl. Math. 43(1) (1990), 15-41.10.1093/qjmam/43.1.15 ↗
12. Musgrave, M.P.J.: On the constraints of positive-definite strain energy in anisotropic media. Quart. J. Mech. Appl. Math. 43(4) (1990), 605-621.10.1093/qjmam/43.4.605 ↗
13. Olszak, W., Urbanowski, W.: The plastic potential and the generalized distortion energy in the theory of nonhomogeneous anisotropic elastic-plastic bodies. Arch. Mekh. Stos. 8(1956), 671-694.
14. Olszak, W., Ostrowska-Maciejewska. The plastic potential in the theory of anisotropic elastic-plastic solids. Engng. Fract. Mech. 21(4) (1985), 625-632.10.1016/0013-7944(85)90072-4 ↗
15. Philippidis, T.P. and Theocaris, P.S.: The transverse Poisson ratio in fiber reinforced laminae by means of a hybrid experimental approach. J. Comp. Mat. 1(1994).10.1177/002199839402800304 ↗
16. Read, D.T., Ledbetter, H.M.: Elastic properties of a boron-aluminum composite at low temperatures. J. Appl. Phys. 48(7) (1977), 2827-2831.10.1063/1.324143 ↗
17. Rychlewski, J.: Elastic energy decompositions and limit criteria. Advances in Mech. 7(3) (1984a), 51-80.
18. Rychlewski, J.: On Hooke's law. PMM 48(3) (1984b), 303-314.
19. Smith R.E.: Ultrasonic elastic constants of carbon fiber and their composites. J. Appl. Phys. 43(6) (1972), 2555-2561.10.1063/1.1661559 ↗
20. Theocaris, P.S.: The decomposition of the strain-energy density of a single-ply laminate to orthonormal components. J. Reinf. Plast. Comp. 8(6) (1989), 565-583.10.1177/073168448900800602 ↗
21. Theocaris, P.S.: On the limits of Poisson's ratio in polycrystalline bodies. J. Mat. Sci. 29(1994).10.1007/BF00352059 ↗
22. Theocaris P.S.: Sorting out the extend of anisotropy in transversely isotropic materials. Int. J. Solids Structures(accepted for publication).
23. Theocaris, P.S. and Philippidis, T.P.: The compliance fourth-rank tensor for the transtropic material and its spectral decomposition. Proc. Natl. Acad. Athens 64(1) (1989a), 80-100.
24. Theocaris, P.S. and Philippidis, T.P.: Elastic eigenstates of a medium with transverse isotropy. Arch. Mech.(Archiwum Mekh. Stosowanej) 41(5) (1989b), 717-724.
25. Theocaris, P.S. and Philippidis, T.P.: Stress distribution in orthotropic plates with coupled elastic properties. Acta Mech. 80(1989c), 95-111.10.1007/BF01178182 ↗
26. Theocaris, P.S. and Philippidis, T.P.: Variational bounds on the eigenangle ωof transversely isotropic materials. Acta Mech. 85(1) (1990), 13-26.10.1007/BF01213539 ↗
27. Theocaris, P.S. and Philippidis, T.P.: Spectral decomposition of compliance and stiffness fourth-rank tensors suitable for orthotropic materials. Z. Angew. Math. Mech. 71(3) (1991), 161-171.10.1002/zamm.19910710308 ↗
28. Theocaris, P.S. and Philippidis, T.P.: True bounds on Poisson's ratios for transversely isotropic solids. J. Strain Anal. 27(1) (1992), 43-44.10.1243/03093247V271043 ↗
29. Thomson, W.K.: Elements of a mathematical theory of elasticity. Phil. Trans. Royal. Soc. 166(1856), 481-498.
30. Zweben C. and Norman J.C.: SAMPE Q. 1(1976).