Modelling instabilities in triaxial testing on unsaturated soil specimens

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 35, Issue 2, 2011, Pages 179-200

  Buscarnera, Giuseppe ^a   Nova, Roberto ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Constitutive modelling; Failure; Mechanical instability; Test controllability; Unsaturated soils

Indexed keywords

CONSTITUTIVE MODELLING; FAILURE; MECHANICAL INSTABILITIES; TEST CONTROLLABILITY; UNSATURATED SOIL;

CONTROLLABILITY; HYDRAULICS; SOIL TESTING; STABILITY; STRESSES; TESTING;

SOILS;

COMPUTER SIMULATION; CONSTITUTIVE EQUATION; EXPERIMENTAL STUDY; FAILURE ANALYSIS; FAILURE MECHANISM; HYDROMECHANICS; LABORATORY METHOD; NUMERICAL MODEL; SOIL MECHANICS; STRESS-STRAIN RELATIONSHIP; TRIAXIAL TEST; UNSATURATED MEDIUM; WETTING;

EID: 78751561513     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.832     Document Type: Article

References (49)

1. Nova R. The failure concept in soil mechanics revisited. In Bifurcations and Instabilities in Geomechanics, Labuz JF, Drescher A (eds). Balkema: Lisse, 2003; 3-16.
2. Castro G. Liquefaction and cyclic mobility of saturated sand. Journal of the Geotechnical Engineering Division (ASCE) 1975; 101(GT6):551-569.
3. Darve F, Chau B. Constitutive instabilities in incrementally non linear modeling. In Constitutive Laws for Engineering Materials, Desai CS, Gallagher GH (eds). Elsevier Science: NewYork, 1987; 301-310.
4. Nova R, Imposimato S. Non-uniqueness of the incremental response of soil specimens under true-triaxial stress paths. In Proceedings of the VI NUMOG, Pande GN, Pietruszczak S (eds). Balkema: Monteral, 1997; 193-197.
5. Nova R. Liquefaction, stability, bifurcations of soil via strain-hardening plasticity. In Numerical Methods for the Localisation and Bifurcation of Granular Bodies; Proceedings of the International Works, Gdansk, Dembicki E, Gudehus G, Sikora O{ogonek} (eds). Technical University of Gdansk: Gdansk, 1989; 117-132.
6. Nova R. Controllability of the incremental response of soil specimens subjected to arbitrary loading programmes. Journal of the Mechanical Behavior of Materials 1994; 5(2):193-201.
7. Imposimato S, Nova R. An investigation on the uniqueness of the incremental response of elastoplastic models for virgin sand. Mechanics of Cohesive-Frictional Materials 1998; 3:65-87.
8. Chambon R. Some theoretical results about second-order work, uniqueness, existence and controllability independent of the constitutive equation. Journal of Engineering Mathematics 2005; 52:53-61.
9. Darve F. Liquefaction phenomenon: modelling, stability and uniqueness. In Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, Arulanandan K, Scott RF (eds). Balkema: Rotterdam, 1994; 1305-1319.
10. Nicot F, Darve F. A micro-mechanical investigation of bifurcation in granular materials. International Journal of Solids and Structures 2007; 44:6630-6652.
11. Buscarnera G, Nova R. Loss of controllability in unsaturated soils. European Journal of Environmental and Civil Engineering 2009; 13(2):235-250.
12. Houston SL, Houston WN, Spadola DJ. Prediction of field collapse of soils due to wetting. Journal of Geotechnical Engineering Division (ASCE) 1988; 114(1):40-58.
13. Vaunat J, Gens A, Pontes Filho IDS. Application of localization concepts to discontinuous water content patterns in unsaturated media. Eighth International Symposium on Numerical Models in Geomechanics-NUMOG VIII, vol. 1. Swets & O{ogonek}eitlinger: Roma, Lisse, 2002; 179-184.
14. Alonso EE, Gens A, Hight DW. Special problem soils. General report. 9th European Conference on Soil Mechanics, Dublin, vol. 3, 1997; 1087-1146.
15. Alonso EE, Gens A, Josa A. A constitutive model for partially saturated soils. Géotechnique 1990; 40(3):405-430.
16. Nuth M, Laloui L. Effective stress concept in unsaturated soils: clarification and validation of a unified framework. International Journal for Numerical and Analytical Methods in Geomechanics 2008; 32:771-801.
17. Gens A, Guimarães L, Sánchez M, Sheng D. Developments in modelling the generalised behaviour of unsaturated soils. In Unsaturated Soils: Advances in Geo-Engineering, Toll D et al. (eds). Taylor & Francis Group: London, 2008.
18. Jommi C, di Prisco C. Un semplice approccio teorico per la modellazione del comportamento meccanico dei terreni granulari parzialmente saturi. Conference Il Ruolo dei Fluidi nei Problemi di Ingegneria Geotecnica, Mondovi, 1994; 167-188.
19. Jommi C. Remarks on the constitutive modelling of unsaturated soils. In Experimental Evidence and Theoretical Approaches in Unsaturated Soils, Tarantino A, Mancuso C (eds), Proceedings of the International Workshop on Unsaturated soils, Trento, Balkema: Rotterdam, 2000; 139-153.
20. Callen HB. Thermodynamics. Wiley: New York, London, 1960.
21. Houlsby GT. The work input to an unsaturated granular material. Géotechnique 1997; 47(1):193-196.
22. Gray WG, Schrefler BA. Analysis of the solid phase stress tensor in multiphase porous media. International Journal for Numerical and Analytical Methods in Geomechanics 2007; 31:541-558.
23. Buscarnera G, Nova R. An elastoplastic strain-hardening model for soil behaviour allowing for hydraulic bonding-debonding effects. International Journal for Numerical and Analytical Methods in Geomechanics 2009; 33:1055-1086.
24. Nova R. Mathematical modelling of natural and engineered geomaterials, general lecture 1st E.C.S.M. Munchen. European Journal of Mechanics A/Solids 1992; 11(Special issue):135-154.
25. Nova R. Modelling weathering effects on the mechanical behaviour of granite. In Constitutive Modelling of Granular Materials, Kolymbas D (ed.). Springer: Berlin, 2000; 397-411.
26. Nova R, Castellanza R, Tamagnini C. A constitutive model for bonded geomaterials subject to mechanical and/or chemical degradation. International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27:705-732.
27. Borja RI, Tamagnini C, Amorosi A. Coupling plasticity and energy-conserving elasticity models for clays. Journal of Geotechnical and Geoenvironmental Engineering (ASCE) 1997; 123(10):948-957.
28. Tamagnini C, Castellanza R, Nova R. A generalized backward Euler algorithm for the numerical integration of an isotropic hardening elastoplastic model for mechanical and chemical degradation of bonded geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics 2002; 26:963-1004.
29. Nova R. On the hardening of soils. Archiwum Mechaniki Stosowanej 1977; 29(3):445-458.
30. Van Genuchten M. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 1980; 44(5):892-898.
31. Roscoe KH, Schofield AN, Wroth CP. On the yielding of soils. Géotechnique 1958; 8:22-53.
32. Schofield AN, Wroth CP. Critical State Soil Mechanics. McGraw-Hill: New York, 1968.
33. Roscoe KH, Burland JB. On the generalized stress-strain behaviour of 'wet' clay. In Engineering Plasticity, Heyman J, Leckie FA (eds). Cambridge University Press: Cambridge, 1968; 535-609.
34. Rudnicki JW, Rice JR. Condition for the localisation of deformation in pressure sensitive dilatant materials. Journal of the Mechanics and Physics of Solids 1975; 23:371-394.
35. Drucker DC. On uniqueness in the theory of plasticity. Quarterly of Applied Mathematics 1956; 14:35-42.
36. Poorooshasb HB, Holubec I, Sherbrourne AN. Yielding and flow of sand in triaxial compression (Part I). Canadian Geotechnical Journal 1966; 3(4):179-190.
37. Poorooshasb HB, Holubec I, Sherbrourne AN. Yielding and flow of sand in triaxial compression (Parts II and III). Canadian Geotechnical Journal 1967; 4(4):376-397.
38. Tatsuoka F, Ishihara K. Yielding of sand in triaxial compression. Soils and Foundations 1974; 12(2):63-76.
39. Nova R, Wood DM. An experimental programme to define the yield function for sand. Soils and Foundations 1978; 18(4):77-86.
40. Hill R. A general theory of uniqueness and stability in elastic-plastic solids. Journal of Mechanics and Physics of Solids 1958; 6:236-249.
41. Nicot F, Darve F, Khoa HDV. Bifurcation and second-order work in geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics 2007; 31:1007-1032.
42. Schur I. UÈ ber Potenzreihen, die im Innern des Einheitskreises beschraÈnkt sind. Journal fur die Reine und Angewandte Mathematik 1917; 147:205-232.
43. Ehlers W, Graf T, Ammann M. Deformation and localization analysis of partially saturated soil. Computer Methods in Applied Mechanics and Engineering 2004; 193:2885-2910.
44. Borja R. Cam-Clay plasticity. Part V: a mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media. Computer Methods in Applied Mechanics and Engineering 2004; 193:5301-5338.
45. Schiava R, Etse G. Constitutive modeling and discontinuous bifurcation assessment in unsaturated soils. Journal of Applied Mechanics 2006; 73:1039-1044.
46. Borja RI. Condition for liquefaction instability in fluid-saturated granular soils. Acta Geotechnica 2006; 1(4):211-224.
47. Borja R. A framework for analysis of diffuse instability in partially saturated granular soils. In Theoretical and Numerical Unsaturated Soil Mechanics; Proceedings of the International Conference on Mechanics of Unsaturated Soils, Weimar ED, Schanz T (eds). Springer: Berlin, 2007.
48. Hicher P-Y, Chang CS. A microstructural elastoplastic model for unsaturated granular materials. International Journal of Solid and Structures 2007; 44:2304-2323.
49. Scholtès L, Hicher P-Y, Nicot F, Chareyre B, Darve F. On the capillary stress tensor in wet granular materials. International Journal for Numerical and Analytical Methods in Geomechanics 2009; 33(10):1289-1313.