On the strong ellipticity of the anisotropic linearly elastic materials

Journal of Elasticity

Volumn 87, Issue 1, 2007, Pages 1-27

  Chiriţǎ, Stan ^a   Danescu, Alexandre ^b   Ciarletta, Michele ^c  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^b ECOLE CENTRALE DE LYON   (France)

^c UNIVERSITY OF SALERNO   (Italy)

Author keywords

Anisotropic materials; Cubic; Hexagonal systems; Rhombic; Strong ellipticity; Tetragonal; Transverse isotropy

Indexed keywords

ALGEBRA; ANISOTROPY; BOUNDARY CONDITIONS; ELASTICITY; THEOREM PROVING;

ANISOTROPIC MATERIALS; HEXAGONAL SYSTEMS; STRONG ELLIPTICITY; TRANSVERSE ISOTROPY;

PLASTICS;

EID: 33847287361     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-006-9096-7     Document Type: Article

References (12)

1. Gurtin, M.E.: The linear theory of elasticity. In: Truesdell, C. (ed.) Handbuch der Physik, vol. VIa/2. Springer, Berlin Heidelberg New York (1972)
2. Merodio, J., Ogden, R.W.: Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation. Int. J. Solids Struct. 40, 4707-4727 (2003)
3. Chiriţǎ, S., Ciarletta, M.: Spatial estimates for the constrained anisotropic elastic cylinder. J. Elast. 85, 189-213 (2006)
4. Simpson, H.C., Spector, S.J.: On copositive matrices and strong ellipticity for isotropic elastic materials. Arch. Ration. Mech. Anal. 84, 55-68 (1983)
5. Dacorogna, B.: Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Dyn. Syst. Ser. B 1, 257-263 (2001)
6. Payton, R.G.: Elastic Wave Propagation in Transversely Isotropic Media. Martinus Nijhoff, The Hague (1983)
7. Padovani, C.: Strong ellipticity of transversely isotropic elasticity tensors. Meccanica 37, 515-525 (2002)
8. Merodio, J., Ogden, R.W.: A note on strong ellipticity for transversely isotropic linearly elastic solids. Q. J. Mech. Appl. Math. 56, 589-591 (2003)
9. Chiriţǎ, S.: On the strong ellipticity condition for transversely isotropic linearly elastic solids. An. St. Univ. Iasi, Matematica, f.2, 52, 113-118 (2006)
10. Evans, K.E.: Auxetic polimers: a new range of materials. Endeavour, New Series, 15, 170-174 (1991)
11. Gibson, L.J., Ashby, M.F.: Cellular Solids-Structure and Properties, 2nd edn. Cambridge Press, UK (1997)
12. Scarpa, F., Tomlinson, G.: Theoretical characteristics of the vibration of sandwich plates with in-plane negative Poisson's ratio values. J. Sound Vib. 230, 45-67 (2000)