메뉴 건너뛰기




Volumn 40, Issue 7, 2003, Pages 1713-1744

Extrema of Young's modulus for cubic and transversely isotropic solids

Author keywords

Anisotropic elasticity; Cubic symmetry; Hexagonal symmetry; Young's modulus

Indexed keywords

ANISOTROPY; ELASTIC MODULI; MATERIALS SCIENCE;

EID: 0037377521     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(02)00668-6     Document Type: Article
Times cited : (106)

References (34)
  • 3
    • 0002292369 scopus 로고
    • Material symmetry and thermostatic inequalities in finite elastic deformations
    • Coleman, B.D., Noll, W., 1964. Material symmetry and thermostatic inequalities in finite elastic deformations. Archive for Rational Mechanics and Analysis 15, 87-111.
    • (1964) Archive for Rational Mechanics and Analysis , vol.15 , pp. 87-111
    • Coleman, B.D.1    Noll, W.2
  • 6
    • 0030141773 scopus 로고    scopus 로고
    • Symmetry classes for elasticity tensor
    • Forte, S., Vianello, M., 1996. Symmetry classes for elasticity tensor. Journal of Elasticity 43, 81-108.
    • (1996) Journal of Elasticity , vol.43 , pp. 81-108
    • Forte, S.1    Vianello, M.2
  • 7
    • 84858082249 scopus 로고
    • Über eine verbesserte apparatur zur statischen bestimmung des drillungsmodulus von kristallstäben und ihre anwendung auf zink-einkristalle
    • Goens, E., 1933. Über eine verbesserte apparatur zur statischen bestimmung des drillungsmodulus von kristallstäben und ihre anwendung auf zink-einkristalle. Annalen der Physik 5 (16), 793-809.
    • (1933) Annalen der Physik , vol.5 , Issue.16 , pp. 793-809
    • Goens, E.1
  • 8
    • 0001476309 scopus 로고
    • The linear theory of elasticity
    • Springer-Verlag, Berlin
    • Gurtin, M.E., 1972. The linear theory of elasticity. Handbuch der Physik, Vol. VIa/2. Springer-Verlag, Berlin, pp. 1-295.
    • (1972) Handbuch der Physik , vol.6 a , Issue.2 , pp. 1-295
    • Gurtin, M.E.1
  • 9
    • 0032156282 scopus 로고
    • On the extreme values of Young's modulus, the shear modulus and Poisson's ratio for cubic materials
    • Hayes, M., Shuvalov, A., 1988. On the extreme values of Young's modulus, the shear modulus and Poisson's ratio for cubic materials. ASME Journal of Applied Mechanics 65, 786-787.
    • (1988) ASME Journal of Applied Mechanics , vol.65 , pp. 786-787
    • Hayes, M.1    Shuvalov, A.2
  • 11
    • 77956938639 scopus 로고
    • The elastic constants of crystals
    • Huntington, H.B., 1958. The elastic constants of crystals. Solid State Physics 7, 213-351.
    • (1958) Solid State Physics , vol.7 , pp. 213-351
    • Huntington, H.B.1
  • 12
    • 34249918305 scopus 로고
    • On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor
    • Huo, Y.Z., Del Piero, G., 1991. On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor. Journal of Elasticity 25, 203-246.
    • (1991) Journal of Elasticity , vol.25 , pp. 203-246
    • Huo, Y.Z.1    Del Piero, G.2
  • 20
    • 0032277459 scopus 로고    scopus 로고
    • Invariant tensor-to-matrix mappings for evaluation of tensorial expressions
    • Nadeau, J.C., Ferrari, M., 1998. Invariant tensor-to-matrix mappings for evaluation of tensorial expressions. Journal of Elasticity 52, 43-61.
    • (1998) Journal of Elasticity , vol.52 , pp. 43-61
    • Nadeau, J.C.1    Ferrari, M.2
  • 21
    • 0035850729 scopus 로고    scopus 로고
    • On optimal zeroth-order bounds with application to Hashin-Shtrikman bounds and anisotropy parameters
    • Nadeau, J.C., Ferrari, M., 2001. On optimal zeroth-order bounds with application to Hashin-Shtrikman bounds and anisotropy parameters. International Journal of Solids and Structures 38, 7945-7965.
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 7945-7965
    • Nadeau, J.C.1    Ferrari, M.2
  • 23
    • 0012601922 scopus 로고    scopus 로고
    • Generalized proper states for anisotropic elastic materials
    • Ostrowska-Maciejewska, J., Rychlewski, J., 2001. Generalized proper states for anisotropic elastic materials. Archives of Mechanics 53 (4-5), 501-518.
    • (2001) Archives of Mechanics , vol.53 , Issue.4-5 , pp. 501-518
    • Ostrowska-Maciejewska, J.1    Rychlewski, J.2
  • 24
    • 0000604772 scopus 로고
    • On optimal orientation of orthotropic materials
    • Pedersen, P., 1989. On optimal orientation of orthotropic materials. Structural Optimization 1, 101-106.
    • (1989) Structural Optimization , vol.1 , pp. 101-106
    • Pedersen, P.1
  • 25
    • 1842688585 scopus 로고
    • On Hooke's law
    • translated in: Journal of Applied Mathematics and Mechanics 48 (3), 303-314
    • Rychlewski, J., 1984. On Hooke's law. Prikladnaja Matematika i Mekhanika 48 (3), 420-435, Translated in: Journal of Applied Mathematics and Mechanics 48 (3), 303-314.
    • (1984) Prikladnaja Matematika i Mekhanika , vol.48 , Issue.3 , pp. 420-435
    • Rychlewski, J.1
  • 26
    • 0002797140 scopus 로고    scopus 로고
    • A qualitative approach to Hooke's tensors
    • Rychlewski, J., 2000. A qualitative approach to Hooke's tensors. Part I, Archives of Mechanics 52 (4-5), 737-759.
    • (2000) Archives of Mechanics , vol.52 , Issue.4-5 PART 1 , pp. 737-759
    • Rychlewski, J.1
  • 27
    • 0003119594 scopus 로고    scopus 로고
    • A qualitative approach to Hooke's tensors
    • Rychlewski, J., 2001. A qualitative approach to Hooke's tensors. Part II, Archives of Mechanics 53 (1), 45-63.
    • (2001) Archives of Mechanics , vol.53 , Issue.1 PART 2 , pp. 45-63
    • Rychlewski, J.1
  • 32
    • 0000944343 scopus 로고
    • Fourth-rank tensors of the thirty-two crystal classes: Multiplication tables
    • Walpole, L.J., 1984. Fourth-rank tensors of the thirty-two crystal classes: multiplication tables. Proceedings of the Royal Society of London A 391, 149-179.
    • (1984) Proceedings of the Royal Society of London A , vol.391 , pp. 149-179
    • Walpole, L.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.