Imperfection sensitive strength variation of soil specimens

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 2, 1997, Pages 293-315

  Ikeda, Kiyohiro ^a   Chida, Tetsuya ^a   Yanagisawa, Eiji ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

A. buckling; B. granular material; C. asymptotic analysis; C. probability and statistics; C. stability and bifurcation

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); BUCKLING; COMPRESSION TESTING; ELASTICITY; GRANULAR MATERIALS; PROBABILITY; RANDOM PROCESSES; SENSITIVITY ANALYSIS; SHEAR STRENGTH; STATISTICAL METHODS; STRESS ANALYSIS;

IMPERFECTION SENSITIVITY LAW;

SOIL MECHANICS;

EID: 0031062208     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(96)00084-1     Document Type: Article

References (21)

1. Asaoka, A. and Noda, T. (1995) Imperfection-sensitive bifurcation of Cam-clay under plane strain compression with undrained boundaries. Soils Foundations 35, 83-100.
2. Chambon, R., Desrues, J. and Vardoulakis, I. (1993) Localisation and bifurcation theory for soils and rocks. Proc. 3rd Int. Workshop on Localisation and Bifurcation Theory for Soils and Rocks, Grenoble, France.
3. De Borst, R. (1988) Bifurcation in finite element models with non-associated flow law. Int. J. Numer. Anal. Methods Geomechanics 12, 99-116.
4. Fujii, H. and Yamaguti, M. (1980) Structure of singularities and its numerical realization in nonlinear elasticity. J. Math. Kyoto Univ. 20, 489-590.
5. Golubitsky, M. and Schaeffer, D. G. (1985) Singularities and Groups in Bifurcation Theory, Vol. 1. Springer.
6. Hill, R. and Hutchinson, J. W. (1975) Bifurcation phenomena in the plane tension test. J. Mech. Phys. Solids 23, 239-264.
7. Ikeda, K. and Goto, S. (1993) Imperfection sensitivity for size effect of granular materials. Soils Foundations 33, 157-170.
8. Ikeda, K. and Murota, K. (1990) Critical initial imperfection of structures. Int. J. Solids Struct. 26, 865-886.
9. Ikeda, K. and Murota, K. (1993) Statistics of normally distributed initial imperfections. Int. J. Solids Struct. 30, 2445-2467.
10. Ikeda, K., Murota, K. and Fujii, H. (1991) Bifurcation hierarchy of symmetric structures. Int. J. Solids Struct. 27, 1551-1573.
11. Koiter, W. T. (1945) On the stability of elastic equilibrium. Ph.D. Dissertation, Delft (English translation : NASA Tech. Trans. F10 : 883, 1967).
12. Murota, K. and Ikeda, K. (1991) Critical imperfection of symmetric structures. SIAM J. Appl. Math. 51, 1222-1254.
13. Murota, K. and Ikeda, K. (1992) On random imperfection for structures of regular-polygonal symmetry. SIAM J. Appl. Math. 52, 1780-1803.
14. Prevost, J. H. (1984) Localization of deformations in elastic-plastic solids. Int. J. Numer. Anal. Methods Geomech. 8, 187-196.
15. Rudnicki, J. W. and Rice, J. R. (1975) Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids 23, 239-264.
16. Thompson, J. M. T. and Hunt, G. W. (1973) A General Theory of Elastic Stability. John Wiley, London.
17. Thompson, J. M. T. and Hunt, G. W. (1984) Elastic Instability Phenomena. John Wiley, Chichester.
18. Vardoulakis, I. (1986) Stability and bifurcation in geomaterials. Numerical Methods in Geomechanics, ed. Swoboda. Balkema, 155-168.
19. Vermeer, P. A. (1982) A simple shear-band analysis using compliances. IUTAM, Conf. on Deformation and Failure of Granular Materials, 493-499.
20. Yamaki, N. (1920) Elastic Stability of Circular Cylindrical Shells, Applied Mathematics and Mechanics 27. Elsevier, Amsterdam.
21. Yatomi, C., Yashima, A., lizuka, A. and Sano, I. (1989) General theory of shear bands formation by a non-coaxial Cam-clay model. Soils Foundations 29, 41-53.