×

zbMATH — the first resource for mathematics

A kinematic hardening constitutive model for sands: The multiaxial formulation. (English) Zbl 0943.74040
From the summary: This paper explores the possibility of using well-accepted concepts – Mohr-Coulomb-like strength criterion, critical state, existence of a small-strain elastic region, hyperbolic relationship for representing global plastic stress-strain behaviour, dependence of strength on state parameter and flow rules derived from the Cam-Clay model – to represent the general multiaxial stress-strain behaviour of granular materials over the full range of void ratios and stress level (neglecting grain crushing). The result is a simple model based on bounding surface and kinematic hardening plasticity, which is based on a single set of constitutive parameters, namely two for the elastic behaviour plus eight for the plastic behaviour, which all have a clear physical meaning.

MSC:
74L10 Soil and rock mechanics
74E20 Granularity
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Muir Wood, Géotechnique 44 pp 335– (1994)
[2] Been, Géotechnique 35 pp 99– (1985)
[3] Manzari, Géotechnique 47 pp 255– (1997)
[4] Dafalias, Acta Mechanica 21 pp 173– (1975)
[5] Mroz, J. Mech. Phys. Solids 15 pp 163– (1967)
[6] Gajo, Géotechnique
[7] and , ’Modelling and analysis of cyclic behaviour of sands’, in and (eds), Soil Mechanics: Transient and Cyclic Loads, Wiley, New York, 1982, pp. 313-342.
[8] ’Two- and three-surface models of plasticity’, Proc. 5th Int. Conf. on Numerical Methods in Geomechanics, Nagoya, 1985, pp. 285-292.
[9] Crouch, Int. J. Numer. Analyt. Meth. Geomech. 18 pp 735– (1994)
[10] ’On a rational formulation of isotropic and anisotropic hardening’, in and (eds), Plasticity Today: Modeling, Methods and Applications, Elsevier Applied Science Publishers, Amsterdam, 1985, pp. 483-502.
[11] et al., ’Recent development in finite element analysis of PCRV’, Proc. 2nd Int. Conf., SMIRT, Berlin, 1973.
[12] and , ’Stress-deformation and strength characteristics of soil under three different principal stresses’, Proc. JSCE, vol. 232, 1974, pp. 59-70.
[13] Lade, J. Soil Mech. Found. Div. 101 pp 1037– (1975)
[14] and , ’Constitutive model for triaxial behaviour of concrete’, Seminar on Concrete Structures Subjected to Tri-axial Stresses, ISMES, Bergamo, Italy, 1974.
[15] and , ’Mechanical behaviour of an idealised ’wet’ clay’, Proc. European Conf. on Soil Mechanics and Foundation Engineering, Wiesbaden, vol. 1, 1963, pp. 47-54,
[16] Ishihara, Soils Found. 15 pp 29– (1975) · doi:10.3208/sandf1972.15.29
[17] Hardin, J. Soil Mech. Found. Div. 92 pp 353– (1966)
[18] The behaviour of sand at low stress levels in the simple shear apparatus. PhD thesis, University of Cambridge, 1971.
[19] Approche statistique de l’incertitude de l’essai triaxial en mecanique de sols, DEA de Mécanique, Université de Grenoble, 1987.
[20] and (eds), Constitutive Equations for Granular Non-Cohesive Soils, Balkema, Rotterdam, 1988.
[21] ’Prediction of deformation of Hostun and Reid Bedford sands with a simple bounding surface plasticity model’, in and (eds), Constitutive Equations for Granular Non-Cohesive Soils, Balkema, Rotterdam, 1988, pp. 131-147.
[22] ’CAP model for fitting the stress-strain response of Hostun and Reid Bedford sands’, in and (eds), Constitutive Equations for Granular Non-Cohesive Soils, Balkema, Rotterdam, 1988, pp. 115-130.
[23] , ’An incrementally non-linear constitutive relation and its predictions’, in and (eds), Constitutive Equations for Granular Non-Cohesive Soils, Balkema, Rotterdam, 1988, pp. 237-254.
[24] and , ’Drained and undrained biaxial test data on Hostun RF sand’, Database ALERT96, ALERT Web server, 1996.
[25] Mokni, Mechanics of Cohesive-Frictional Materials · Zbl 1127.46027
[26] and , ’Experimental strain localisation in undrained biaxial tests on sands’, McNU’97 Symp., Northwestern University, U.S.A., 30 June-2 July 1997.
[27] Etude des propriétés de liquefaction des sables, Memoire de DEA de I’ENPC, Paris, 1990.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.