Instabilities of a finitely deformed fiber-reinforced elastic material

Journal of Applied Mechanics, Transactions ASME

Volumn 50, Issue 1, 1983, Pages 149-156

  Triantafyllidis, N ^a   Abeyaratne, R ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SOLIDS - STRESSES;

SHEAR BAND-TYPE INSTABILITY;

COMPOSITE MATERIALS;

EID: 0020718795     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3166983     Document Type: Article

References (12)

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2. Knowles, J. W., and Sternberg, E., “On the Ellipticity of the Equations of Nonlinear Elastostatics for a Special Material,” Journal of Elasticity, Vol. 5, 1975, pp.341-361.
3. Biot, M. A., Mechanics of Incremental Deformations, Wiley, New York, 1965.
4. Hill, R., and Hutchinson, J. W., “Bifurcation Phenomena in the Plane Tension Test,” Journal of the Mechanics and Physics of Solids, Vol. 23, 1975, pp.239-264.
5. Kurashige, M., “Instability of a Transversely Isotropic Elastic Slab Subjected to Axial Loads,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 48,1981, pp. 351-356.
6. Arcisz, M., “Bifurcation Conditions for Ideal Fiber-Reinforced Materials,” International Journal of Solids and Structures, Vol. 16, 1980, pp. 1109-1121.
7. Rice, J. R., “The Localization of Plastic Deformation,” Proceedings of the 14th IUTAM Congress, Koiter, W. T., ed., Delft, Netherlands, Aug. 1976, pp. 207-220.
8. Knowles, J. K., and Sternberg, E., “On the Failure of Ellipticity of the Equations for Finite Elastostatic Plane Strain,” Archive for Rational Mechanics and Analysis, Vol. 63, 1977, pp. 321-326.
9. Douglas, W. J., and Jaunzemis, W., “Stability of Prestrained Laminated Media,” Proceedings of the 5th Symposium on Naval Structural Mechanics, Wendt, F. W., et al., eds., 1967, pp. 679-700.
10. Spencer, A. J. M., Deformations of Fiber-Reinforced Materials, Oxford University Press, 1972.
11. Hutchinson, J. W., and Tvergaard, V., “Surface Instabilities on Statically Strained Plastic Solids,” International Journal of Mechanical Sciences, Vol. 22, 1980, pp. 339-354.
12. Schwartz, L., Theorie des Distributions, Herrmann, 1950.