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Erschienen in: Archive of Applied Mechanics 12/2016

17.08.2016 | Original

The modified Cam-Clay (MCC) model: cyclic kinematic deviatoric loading

verfasst von: R. V. Goldstein, A. V. Dudchenko, S. V. Kuznetsov

Erschienen in: Archive of Applied Mechanics | Ausgabe 12/2016

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Abstract

Different realizations of the modified Cam-Clay (MCC) models are reviewed. Several extensions of the MCC model are discussed, including models with kinematic hardening and bounding surface, the general plasticity model, extension of the MCC model to include finite strain, and different variants of the pressure hardening rules, including bi-modulus extension, hypoplastic, and the hyperelastic potential extensions. The associated flow rules coupled with different hardening equations are considered. The main attention is paid to the case of the infinitesimal strains. Numerical examples of kinematic deviatoric loadings for the considered model with linear elastic initial response are presented and analyzed.

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Literatur
1.
Zurück zum Zitat Aboim, C., Roth, W.: Bounding surface plasticity theory applied to cyclic loading of sand. In: International Symposium on Numerical Models in Geomechanics, pp. 65–72. (1982) Aboim, C., Roth, W.: Bounding surface plasticity theory applied to cyclic loading of sand. In: International Symposium on Numerical Models in Geomechanics, pp. 65–72. (1982)
2.
Zurück zum Zitat Al Tabbaa, A., Wood, D.M.: An experimentally based bubble model for clay. In: Proceedings of the 3rd International Symposium on Numerical Models in Geomechanics (NUMOG III), pp. 90–99. Elsevier (1989) Al Tabbaa, A., Wood, D.M.: An experimentally based bubble model for clay. In: Proceedings of the 3rd International Symposium on Numerical Models in Geomechanics (NUMOG III), pp. 90–99. Elsevier (1989)
3.
Zurück zum Zitat Alawaji, H., Runesson, K., Sture, S., Axelsson, K.: Implicit integration in soil plasticity under mixed control for drained and undrained response. Int. J. Numer. Anal. Methods Geomech. 13, 737–756 (1992)CrossRefMATH Alawaji, H., Runesson, K., Sture, S., Axelsson, K.: Implicit integration in soil plasticity under mixed control for drained and undrained response. Int. J. Numer. Anal. Methods Geomech. 13, 737–756 (1992)CrossRefMATH
4.
Zurück zum Zitat Andersen, K.H.: Bearing capacity under cyclic loading - offshore, along the coast, and on land. Can. Geotech J. 46, 513–535 (2009)CrossRef Andersen, K.H.: Bearing capacity under cyclic loading - offshore, along the coast, and on land. Can. Geotech J. 46, 513–535 (2009)CrossRef
5.
Zurück zum Zitat Armero, F., Pérez-Foguet, A.: On the formulation of closest-point projection algorithms in elastoplasticity—Part I: the variational structure. Int. J. Numer. Methods Eng. 53, 297–329 (2002)CrossRefMATH Armero, F., Pérez-Foguet, A.: On the formulation of closest-point projection algorithms in elastoplasticity—Part I: the variational structure. Int. J. Numer. Methods Eng. 53, 297–329 (2002)CrossRefMATH
6.
Zurück zum Zitat Auricchio, F., Taylor, R.: A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes. Int. J. Plast. 15, 1359–1378 (1999)CrossRefMATH Auricchio, F., Taylor, R.: A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes. Int. J. Plast. 15, 1359–1378 (1999)CrossRefMATH
7.
Zurück zum Zitat Auricchio, F., Taylor, R.L., Lubliner, J.: Computational plasticity. In: Owen, D.R.J., et al. (eds.) Application of a Return Map Algorithm to Plasticity Models, pp. 2229–2248. CIMNE, Barcelona (1992) Auricchio, F., Taylor, R.L., Lubliner, J.: Computational plasticity. In: Owen, D.R.J., et al. (eds.) Application of a Return Map Algorithm to Plasticity Models, pp. 2229–2248. CIMNE, Barcelona (1992)
8.
Zurück zum Zitat Bigoni, D., Hueckel, T.: Uniqueness and localization associative and non-associative elasto-plasticity. Int. J. Sol. Struct. 28, 197–213 (1991)MathSciNetCrossRefMATH Bigoni, D., Hueckel, T.: Uniqueness and localization associative and non-associative elasto-plasticity. Int. J. Sol. Struct. 28, 197–213 (1991)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Borja, R.I., Lee, S.R.: Cam-Clay plasticity. Part I: implicit integration of elasto-plastic constitutive relations. Comput. Methods Appl. Mech. Eng. 78, 49–72 (1990)CrossRefMATH Borja, R.I., Lee, S.R.: Cam-Clay plasticity. Part I: implicit integration of elasto-plastic constitutive relations. Comput. Methods Appl. Mech. Eng. 78, 49–72 (1990)CrossRefMATH
10.
Zurück zum Zitat Borja, R., Sama, K., Sanz, P.: On the numerical integration of three-invariant elastoplastic constitutive models. Comput. Methods Appl. Mech. Eng. 192, 1227–1258 (2003)CrossRefMATH Borja, R., Sama, K., Sanz, P.: On the numerical integration of three-invariant elastoplastic constitutive models. Comput. Methods Appl. Mech. Eng. 192, 1227–1258 (2003)CrossRefMATH
11.
Zurück zum Zitat Borja, R., Tamagnini, C.: Cam-Clay plasticity, Part III: extension of the infinitesimal model to include finite strains. Comput. Methods Appl. Mech. Eng. 155, 73–95 (1998)CrossRefMATH Borja, R., Tamagnini, C.: Cam-Clay plasticity, Part III: extension of the infinitesimal model to include finite strains. Comput. Methods Appl. Mech. Eng. 155, 73–95 (1998)CrossRefMATH
12.
Zurück zum Zitat Buscarnera, G., Dattola, G., di Prisco, C.: Controllability, uniqueness and existence of the incremental response: a mathematical criterion for elastoplastic constitutive laws. Int. J. Sol. Struct. 48, 1867–1878 (2011)CrossRef Buscarnera, G., Dattola, G., di Prisco, C.: Controllability, uniqueness and existence of the incremental response: a mathematical criterion for elastoplastic constitutive laws. Int. J. Sol. Struct. 48, 1867–1878 (2011)CrossRef
13.
Zurück zum Zitat Callari, C., Auricchio, F., Sacco, E.: A finite-strain cam-clay model in the framework of multiplicative elasto-plasticity. Int. J. Plast. 14, 1155–1187 (1998)CrossRefMATH Callari, C., Auricchio, F., Sacco, E.: A finite-strain cam-clay model in the framework of multiplicative elasto-plasticity. Int. J. Plast. 14, 1155–1187 (1998)CrossRefMATH
14.
Zurück zum Zitat Carter, J.P., Booker, J.R., Wroth, C.P.: Acritical state soil model for cyclic loading. In: Pande, G.N., Zienkiewicz, O.C. (eds.) Soil Mechanics—Transient and Cyclic Loading, pp. 219–252. Wiley, Chichester (1982) Carter, J.P., Booker, J.R., Wroth, C.P.: Acritical state soil model for cyclic loading. In: Pande, G.N., Zienkiewicz, O.C. (eds.) Soil Mechanics—Transient and Cyclic Loading, pp. 219–252. Wiley, Chichester (1982)
15.
Zurück zum Zitat Conti, R., Tamagnini, C., De Simone, A.: Critical softening in Cam-Clay plasticity: adaptive viscous regularization, dilated time and numerical integration across stress-strain jump discontinuities. Comput. Methods Appl. Mech. Eng. 258, 118–133 (2013)MathSciNetCrossRefMATH Conti, R., Tamagnini, C., De Simone, A.: Critical softening in Cam-Clay plasticity: adaptive viscous regularization, dilated time and numerical integration across stress-strain jump discontinuities. Comput. Methods Appl. Mech. Eng. 258, 118–133 (2013)MathSciNetCrossRefMATH
16.
Zurück zum Zitat Dafalias, Y.F., Herrmann, L.R.: A bounding surface soil plasticity model. In: Proceedings of International Symposium Soils under Cyclic Transient Loading, pp. 335–345. Swansea (1980) Dafalias, Y.F., Herrmann, L.R.: A bounding surface soil plasticity model. In: Proceedings of International Symposium Soils under Cyclic Transient Loading, pp. 335–345. Swansea (1980)
17.
Zurück zum Zitat Dal Maso, G., De Simone, A.: Quasistatic evolution for cam-clay plasticity: examples of spatially homogeneous solutions. Math. Models Methods Appl. Sci. 19, 1643–1711 (2009)MathSciNetCrossRefMATH Dal Maso, G., De Simone, A.: Quasistatic evolution for cam-clay plasticity: examples of spatially homogeneous solutions. Math. Models Methods Appl. Sci. 19, 1643–1711 (2009)MathSciNetCrossRefMATH
18.
Zurück zum Zitat Dal Maso, G., De Simone, A., Solombrino, F.: Quasistatic evolution for cam-clay plasticity: a weak formulation via viscoplastic regularization and time rescaling. Calc. Var. 40, 125–181 (2011)MathSciNetCrossRefMATH Dal Maso, G., De Simone, A., Solombrino, F.: Quasistatic evolution for cam-clay plasticity: a weak formulation via viscoplastic regularization and time rescaling. Calc. Var. 40, 125–181 (2011)MathSciNetCrossRefMATH
19.
Zurück zum Zitat Dal Maso, G., Solombrino, F.: Quasistatic evolution for Cam-Clay plasticity: the spatially homogeneous case. Netw. Heter. Media. 5, 97–132 (2010)MathSciNetCrossRefMATH Dal Maso, G., Solombrino, F.: Quasistatic evolution for Cam-Clay plasticity: the spatially homogeneous case. Netw. Heter. Media. 5, 97–132 (2010)MathSciNetCrossRefMATH
20.
Zurück zum Zitat Hashiguchi, K.: On the linear relations of V-ln p and ln v-ln p for isotropic consolidation of soils. Int. J. Num. Anal. Methods Geomech. 19, 367–376 (1995)CrossRefMATH Hashiguchi, K.: On the linear relations of V-ln p and ln v-ln p for isotropic consolidation of soils. Int. J. Num. Anal. Methods Geomech. 19, 367–376 (1995)CrossRefMATH
21.
Zurück zum Zitat Hirai, H.: An elastoplastic constitutive model for cyclic behaviour of sands. Int. J. Num. Anal. Methods Geomech. 11(5), 503–520 (1987)CrossRefMATH Hirai, H.: An elastoplastic constitutive model for cyclic behaviour of sands. Int. J. Num. Anal. Methods Geomech. 11(5), 503–520 (1987)CrossRefMATH
22.
Zurück zum Zitat Liu, J., Xiao, J.: Experimental study on the stability of railroad silt subgrade with increasing train speed. J. Geotech. Geoenviron. Eng. (ASCE) GT.1943-5606.0000282, 10.1061, 833–841 (2010) Liu, J., Xiao, J.: Experimental study on the stability of railroad silt subgrade with increasing train speed. J. Geotech. Geoenviron. Eng. (ASCE) GT.1943-5606.0000282, 10.1061, 833–841 (2010)
23.
24.
Zurück zum Zitat Ni, J., Indraratna, B., Geng, X., Carter, J., Chen Y.: Model of soft soils under cyclic loading. Int. J. Geomech. Eng. (ASCE) GM.1943-5622.0000411, 10.1061, 1–10 (2014) Ni, J., Indraratna, B., Geng, X., Carter, J., Chen Y.: Model of soft soils under cyclic loading. Int. J. Geomech. Eng. (ASCE) GM.1943-5622.0000411, 10.1061, 1–10 (2014)
25.
Zurück zum Zitat Papuga, J.: A survey on evaluating the fatigue limit under multiaxial loading. Int. J. Fatigue. 33, 153–165 (2011)CrossRef Papuga, J.: A survey on evaluating the fatigue limit under multiaxial loading. Int. J. Fatigue. 33, 153–165 (2011)CrossRef
26.
Zurück zum Zitat Puppala, A.J., Mohammad, L.N., Allen, A.: Permanent deformation characterization of subgrade soils from RLT test. J. Mater. Civil Eng. 11, 274–282 (1999)CrossRef Puppala, A.J., Mohammad, L.N., Allen, A.: Permanent deformation characterization of subgrade soils from RLT test. J. Mater. Civil Eng. 11, 274–282 (1999)CrossRef
27.
Zurück zum Zitat Roscoe, K.H., Burland, J.B.: On the generalized stressstrain behavior of wet clay. In: Heyman, J., Leckie, F.A. (eds.) Engineering Plasticity, pp. 535–609. Cambridge University Press, Cambridge (1968) Roscoe, K.H., Burland, J.B.: On the generalized stressstrain behavior of wet clay. In: Heyman, J., Leckie, F.A. (eds.) Engineering Plasticity, pp. 535–609. Cambridge University Press, Cambridge (1968)
28.
Zurück zum Zitat Roscoe, K.H., Schofield, A.N., Wroth, C.P.: On the yielding of soils. Geotechnique. 8, 22–53 (1958)CrossRef Roscoe, K.H., Schofield, A.N., Wroth, C.P.: On the yielding of soils. Geotechnique. 8, 22–53 (1958)CrossRef
29.
Zurück zum Zitat Roscoe, K.H., Schofield, A.N.: Mechanical behavior of an idealized \(\backslash \)wet clay. In: Proceedings of the 2nd European Conference Soil Mechanics and Foundation Engineering, vol. I, pp. 47–54. Wiesbaden (1963) Roscoe, K.H., Schofield, A.N.: Mechanical behavior of an idealized \(\backslash \)wet clay. In: Proceedings of the 2nd European Conference Soil Mechanics and Foundation Engineering, vol. I, pp. 47–54. Wiesbaden (1963)
30.
Zurück zum Zitat Sangrey, D.A.: Cyclic loading of sands, silts and clays. Earthquake engineering and soil dynamics. Proc. ASCE Geotechnical Engineering Division Conference, pp. 836–851. (1978) Sangrey, D.A.: Cyclic loading of sands, silts and clays. Earthquake engineering and soil dynamics. Proc. ASCE Geotechnical Engineering Division Conference, pp. 836–851. (1978)
31.
Zurück zum Zitat Schofield, A.N., Wroth, C.P.: Critical State Soil Mechanics. McGraw-Hill, New York City (1968) Schofield, A.N., Wroth, C.P.: Critical State Soil Mechanics. McGraw-Hill, New York City (1968)
32.
Zurück zum Zitat Selig, E.T.: Soil failure modes in undrained cyclic loading. J. Geot. Eng. Div. 107, 539–551 (1981) Selig, E.T.: Soil failure modes in undrained cyclic loading. J. Geot. Eng. Div. 107, 539–551 (1981)
33.
Zurück zum Zitat Shahin, M.A., Loh, R.B.H., Nikraz, H.R.: Some observations on the behaviour of soft clay under undrained cyclic loading. J. Geo Eng. TGS 6, 109–112 (2011) Shahin, M.A., Loh, R.B.H., Nikraz, H.R.: Some observations on the behaviour of soft clay under undrained cyclic loading. J. Geo Eng. TGS 6, 109–112 (2011)
34.
Zurück zum Zitat Simo, J.C., Meschke, G.: A new class of algorithms for classical plasticity extended to finite strains. Appl. Geomater. Comput. Mech. 11, 253–278 (1993)MathSciNetCrossRefMATH Simo, J.C., Meschke, G.: A new class of algorithms for classical plasticity extended to finite strains. Appl. Geomater. Comput. Mech. 11, 253–278 (1993)MathSciNetCrossRefMATH
35.
Zurück zum Zitat Takahashi, M., Hight, D.W., Vaughan, P.R.: Effective stress changes observed during undrained cyclic triaxial tests on clay. In: Pande, G.N. Zienkiewicz, O. C. (eds.) Proceedings of the International Symposium on Soils Under Cyclic and Transient Loading, pp. 201–209. Balkema, Rotterdam, Netherlands(1980) Takahashi, M., Hight, D.W., Vaughan, P.R.: Effective stress changes observed during undrained cyclic triaxial tests on clay. In: Pande, G.N. Zienkiewicz, O. C. (eds.) Proceedings of the International Symposium on Soils Under Cyclic and Transient Loading, pp. 201–209. Balkema, Rotterdam, Netherlands(1980)
36.
Zurück zum Zitat Uzan, J.: Characterization of Granular Materials. Transportation Research Record 1022, TRB, pp. 52–59. National Research Council, Washington (1985) Uzan, J.: Characterization of Granular Materials. Transportation Research Record 1022, TRB, pp. 52–59. National Research Council, Washington (1985)
37.
Zurück zum Zitat Van Eekelen, S.J., Van den Berg, P.: The delft egg model, a constitutive model for clay. In: DIANA Computational Mechanics ’94, pp. 103–116. Springer (1994) Van Eekelen, S.J., Van den Berg, P.: The delft egg model, a constitutive model for clay. In: DIANA Computational Mechanics ’94, pp. 103–116. Springer (1994)
38.
Zurück zum Zitat Wood, D.M.: Soil Behaviour and Critical State Soil Mechanics. Cambridge University Press, Cambridge (1990)MATH Wood, D.M.: Soil Behaviour and Critical State Soil Mechanics. Cambridge University Press, Cambridge (1990)MATH
39.
Zurück zum Zitat Zhou, J., Gong, X.: Strain degradation of saturated clay under cyclic loading. Can. Geotech. J. 38, 208–212 (2001)CrossRef Zhou, J., Gong, X.: Strain degradation of saturated clay under cyclic loading. Can. Geotech. J. 38, 208–212 (2001)CrossRef
40.
Zurück zum Zitat Zienkiewicz, O., Mroz, Z.: Generalized plasticity formulation and applications to geomechanics. Mech. Eng. Mater. 655–679 (1984) Zienkiewicz, O., Mroz, Z.: Generalized plasticity formulation and applications to geomechanics. Mech. Eng. Mater. 655–679 (1984)
Metadaten
Titel
The modified Cam-Clay (MCC) model: cyclic kinematic deviatoric loading
verfasst von
R. V. Goldstein
A. V. Dudchenko
S. V. Kuznetsov
Publikationsdatum
17.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 12/2016
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-016-1169-x

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