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**A constitutive model for bonded geomaterials subject to mechanical and/or chemical degradation.**
*(English)*
Zbl 1085.74507

Summary: The mechanical behaviour of bonded geomaterials is described by means of an elastoplastic strain-hardening model. The internal variables, taking into account the ‘history’ of the material, depend on the plastic strains experienced and on a conveniently defined scalar measure of damage induced by weathering and/or chemical degradation.

For the sake of simplicity, it is assumed that only internal variables are affected by mechanical and chemical history of the material. Despite this simplifying assumption, it can be shown that many interesting phenomena exhibited by weathered bonded geomaterials can be successfully described. For instance, (i) the transition from brittle to ductile behaviour with increasing pressure of a calcarenite with collapsing internal structure, (ii) the complex behaviour of chalk and other calcareous materials in oedometric tests, (iii) the chemically induced variation of the stress and strain state of such kind of materials, are all phenomena that can be qualitatively reproduced. Several comparisons with experimental data show that the model can capture the observed behaviour also quantitatively.

For the sake of simplicity, it is assumed that only internal variables are affected by mechanical and chemical history of the material. Despite this simplifying assumption, it can be shown that many interesting phenomena exhibited by weathered bonded geomaterials can be successfully described. For instance, (i) the transition from brittle to ductile behaviour with increasing pressure of a calcarenite with collapsing internal structure, (ii) the complex behaviour of chalk and other calcareous materials in oedometric tests, (iii) the chemically induced variation of the stress and strain state of such kind of materials, are all phenomena that can be qualitatively reproduced. Several comparisons with experimental data show that the model can capture the observed behaviour also quantitatively.

### Keywords:

bonded geomaterials; mechanical destructuration; chemical degradation; plasticity; chemo-mechanical coupling
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\textit{R. Nova} et al., Int. J. Numer. Anal. Methods Geomech. 27, No. 9, 705--732 (2003; Zbl 1085.74507)

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### References:

[1] | Critical State Soil Mechanics. Mc Graw Hill: London, 1968. |

[2] | Nova, International Journal for Numerical and Analytical Methods in Geomechanics 3 pp 255– (1979) |

[3] | Behaviour and modelling of static liquefaction of silty sands. In Proceedings of NUMOG VI, (eds). Montreal, Balkema: Rotterdam, 1997; 27-32. |

[4] | Constitutive models for carbonate sand and their application to footing problems. Ph.D. Thesis, University of Sidney, 2000. |

[5] | Bounding surface formulation of soil plasticity. In Soil Mechanics-transient and Cyclic Loads, (eds). Wiley: New York, 1982; 253-282. |

[6] | Dafalias, Journal of Engineering Mechanics, ASCE 112 pp 966– (1986) |

[7] | Pastor, International Journal for Numerical and Analytical Methods in Geomechanics 14 pp 151– (1990) |

[8] | An incrementally non-linear constitutive law of second order and its application to localisation. In Mechanics of Engineering Materials, (eds). Wiley: New York, 1983; 179-196. |

[9] | Incrementally non-linear constitutive relationship. In Geomaterials: Constitutive Equation and Modelling, (ed). Elsevier: Amsterdam, 1991; 213-237. |

[10] | A constitutive law of the rate type for soils. Position, calibration and prediction. In Constitutive Relations for Soils, (eds). Balkema: Rotterdam, 1984; 11-54. |

[11] | Kolymbas, Archives of Applied Mechanics 61 pp 143– (1991) |

[12] | Chambon, International Journal for Numerical and Analytical Methods in Geomechanics 18 pp 53– (1994) |

[13] | Nova, Acta Mechanica 64 pp 31– (1986) |

[14] | Leroueil, Géotechnique 40 pp 467– (1990) |

[15] | Shao, International Journal of Plasticity 7 pp 1– (1991) |

[16] | Nova, European Journal of Mechanics/A Solids 11 pp 135– (1992) |

[17] | A framework for the mechanical behaviour of cemented Corinth marl. In Geotechnical Engineering of Hard Soils-Soft Rocks, et al. (eds). Rotterdam: Balkema, 1993; 577-583. |

[18] | Conceptual bases for a constitutive model for bonded soils and weak rocks. In Geotechnical Engineering of Hard Soils-Soft Rocks, et al. (eds). Balkema: Rotterdam, 1993; 485-494. |

[19] | Modelling the weathering effects on the mechanical behaviour of granite. In Constitutive Modelling of Granular Materials, (eds). Springer: Berlin, 2000; 397-411. |

[20] | Modelling weathering effects on the mechanical behaviour of soft rocks. In International Conference on Civil Engineering. Interline Publishing: Bangalore, India, 2001; 157-167. |

[21] | Mazars, Journal of Engineering Mechanics, ASCE 115 pp 345– (1989) |

[22] | Hueckel, International Journal of Solids and Structures 13 pp 1– (1977) |

[23] | Maier, Rendiconti dell’Istituto Lombardo di Scienze e Lettere 100 pp 809– (1966) |

[24] | Computational Inelasticity. Springer: New York, 1997. |

[25] | Imposimato, Mechanics of Cohesion-Frictional Materials 3 pp 1– (1998) |

[26] | Tamagnini, International Journal for Numerical and Analytical Methods in Geomechanics 26 pp 963– (2002) |

[27] | Borja, Computer Methods in Applied Mechanics and Engineering 155 pp 73– (1998) |

[28] | Lagioia, Computers and Geotechnics 19 pp 171– (1996) |

[29] | van Eekelen, International Journal for Numerical and Analytical Methods in Geomechanics 4 pp 89– (1980) |

[30] | A new failure condition for soils in three dimensional stresses. In Proceedings of the IUTAM Symposium on Deformation and Failure of Granular Materials, Vermeer PA, Luger HJ (eds). Delft, 1982; 253-263. |

[31] | Weathering effects on the mechanical behaviour of bonded geomaterials: an experimental, theoretical and numerical study. Ph.D. Thesis, Politecnico di Milano, 2002. |

[32] | Nova, Archiwum Mechaniki Stosowanej 29 pp 445– (1977) |

[33] | Deformation on Chalk through compaction and flow. Ph.D. Thesis, University of London, 1988. |

[34] | Coop, Géotechnique 43 pp 53– (1993) |

[35] | Lagioia, Géotechnique 45 pp 633– (1995) |

[36] | Olsson, Journal of Geophysical Research 104 pp 7219– (1999) |

[37] | Rudnicki, International Journal of Solids and Structures 39 pp 3741– (2002) |

[38] | Rudnicki, Journal of the Mechanics and Physics of Solids 23 pp 371– (1975) |

[39] | Hueckel, Journal of Geotechnical and Geoenvironmental Engineering, ASCE 116 pp 1778– (1990) |

[40] | Plasticity of saturated clays under combined mechanical and environmental loads. In Constitutive Laws for Engineering Materials, et al. (eds). ASME Press: New York, 1991; 53-56. |

[41] | Hueckel, Canadian Geotechnical Journal 29 pp 1071– (1992) |

[42] | Assessment of the geotechnical properties of the weathered rocks at historical monuments in Korea. Eurock ’96, (ed). Balkema: Rotterdam, 1996; 1413-1416. |

[43] | Baynes, Bulletin of the International Association of Engineering Geology 18 pp 191– (1978) |

[44] | Castellanza, Journal of Geotechnical and Geoenvironmental Engineering, ASCE (2003) |

[45] | Lumb, Géotechnique 12 pp 226– (1962) |

[46] | Weathering induced subsidence of circular foundation. Proceedings of NUMOG VIII 2002, Rome (Italy), (eds). Swansea, Balkema: Rotterdam, 2002; 407-413. |

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