3d bifurcation analysis in geomaterials: Investigation of the second order work criterion

European Journal of Environmental and Civil Engineering

Volumn 13, Issue 2, 2009, Pages 135-147

  Prunier, Florent ^a   Laouafa, Farid ^b   Darve, Félix ^a  

^a LABORATOIRE SOLS SOLIDES STRUCTURES   (France)

^b INSTITUT NATIONAL DE L ENVIRONNEMENT INDUSTRIEL ET DES RISQUES INERIS   (France)

Author keywords

Bifurcation; Constitutive equations; Granular materials; Second order work criterion

Indexed keywords

EID: 85007567779     PISSN: 19648189     EISSN: None     Source Type: Journal    
DOI: 10.1080/19648189.2009.9693096     Document Type: Article

References (26)

1. Bigoni, D., and Hueckel, T., 1991. “Uniqueness and localization-I. Associative and non-associative elasto-plasticity”. Internationnal Journal of Solids and Structures, 28 (2):197–213.
2. Darve, F., and Chau, B., 1987. “Constitutive instabilities in incrementally non-linear modelling”. In Constitutive laws for Engineering Materials C. S. Desai 301–310.
3. Darve, F., Flavigny, E., and Meghachou, M., 1995. “Yield surfaces and principle of superposition revisited by incrementally non-linear constitutive relations”. International Journal of Plasticity, 11 (8):927–948.
4. Darve, F., and Laouafa, F., 2000. “Instabilities in granular materials and application to landslides”. Mechanics of cohesive-frictional materials, 5:627–652.
5. Darve, F., Servant, G., Laouafa, F., and Khoa, H. D.V., 2004a. “Failure in geomaterials:continuous and discrete analyses”. Computer Methods in Applied Mechanics and Engineering, 193:3057–3085.
6. Darve, F., Sibille, L., Daouadji, A., and Nicot, F., 2007. “Bifurcations in granular media:macro- and micro-mechanics approaches”. Comptes Rendus Académie des Sciences Mecanique, 335:496–515.
7. Darve, F., and Vardoulakis, I., 2004b. Degradations and instabilities in geomaterials, 461 of CISM courses, SPRINGER
8. Desrues, J., and Viggiani, J., 2004. “Strain localization in sand:on overview of the experimental results obtained in Grenoble using stereophotogrammetry”. International Journal for Numerical and Analytical Methods in Geomechanics, 28 (4):279–321.
9. Hill, R., 1958. “A general theory of uniqueness and stability in elasto-plastic solids”. Journal of the Mechanics and Physics of Solids, 6:236–249.
10. Hill, R., 1967. “Eigenmodal deformations in elastic/plastic continua”. Journal of the Mechanics and Physics of Solids, 15:371–386.
11. Khoa, H. D.V., Georgopoulos, I. O., Darve, F., and Laouafa, F., 2006. “Diffuse failure in geomaterials:Experiments and modelling”. Computer and Geotechnics, 33:1–14.
12. Lade, P. V., 1992. “Static instability and liquefaction of loose fine sandy slopes”. Journal of Geotechnical Engineering, 118 (1):51–71.
13. Laouafa, F., and Darve, F., 2002. “Modelling of slope failure by a material instability mechanism”. Computer and Geotechnics, 29:301–325.
14. LESSLOSS-Report. 2004. The Petacciato landslide:geological and geotechnical data, Technical report, SGI:Studio Geotechnico Italiano, Campobasso-Italy
15. Lignon, S., Laouafa, F., Prunier, F., Darve, F., and Khoa, H. D.V., 2008. “Hydro-mechanical modelling of landslides with a material instability criterion”. Geotechnique, In press
16. Mandel, J., 1966. “Conditions de stabilité et postulat de Drücker”. In Rheology and Soils Mechanics Berlin Springer Edited by:Kravtchenko, J., and Sirieys, P. M., 58–68.
17. Mróz, Z., 1963. “Non-associated flow laws in plasticity”. Journal de Mecanique, 2:21–42.
18. Mróz, Z., 1966. “On forms of constitutive laws for elastic-plastic solids”. Archive of Mechanics Stosovanej, 18:1–34.
19. Nicot, F., 2008. private communication
20. rd International Conference on Constitutive Laws for Engineering Materials:Theory and Applications Tuscon, USA 153–156.
21. Nova, R., 1994. “Controllability of the incremental response of soil specimens subjected to arbitrary loading programs”. Journal of the Mechanical behavior of Materials, 5 (2):193–201.
22. Nova, R., 2004. “Controllability of geotechnical testing”. Failure, Degradation and Instabilities in Geomaterials. Revue française de génie civil, 8:613–634. (5–6)
23. th IUTAM Congress on Theoretical and Applied Mechanics Amsterdam Edited by:Koiter, W. T., 207–220.
24. Rudnicki, J. W., and Rice, J. R., 1975. “Conditions for the localization of deformations in pressure-sensitive dilatant materials”. Journal of the Mechanics and Physics of Solids, 23:371–394.
25. Sibille, L., Nicot, F., Donzé, F. V., and Darve, F., 2007. “Material instability in granular assemblies from fundamentally different models”. International Journal for Numerical and Analytical Methods Geomechanics, 31 (3):457–482.
26. Vardoulakis, I., and Sulem, J., 1995. Bifurcation Analysis in Geomechanics Blackie Academic and Professional.