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Gradient-enhanced Cam-clay model in simulation of strain localization in soil

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of instability and strain localization in granular materials is approached using a modified Cam-clay plasticity model. The attention is limited to one-phase modeling based on the Terzaghi concept of effective stress. The gradient-enhancement of the model is proposed in order to avoid the spurious discretization sensitivity of finite element solutions. The classical and gradient-dependent versions of the theory and their numerical implementation are summarized. Basic one-element tests and a typical shear banding benchmark of biaxially compressed soil specimen are discussed. Calculations arc performed using the development version of the FEAP finite clement package.
Rocznik
Tom
Strony
293--318
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
  • Faculty of Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155, Cracow, Poland Tel.: +48 012 628 25 61; fax: +48 012 628 20 34, A.Stankiewicz@twins.pk.edu.pl
Bibliografia
  • 1. Aifantis, E.: Gradient deformation models at nano, micro, and macro scales. ASME J. Eng. Mat. Tech.,, 189-202, 1999.
  • 2. Askes, H., Suiker, A., and Sluys, L.: A classification of higher-order strain-gradient models - linear analysis. Archive of Applied Mechanics, (2-3), 171-188,2002.
  • 3. Borja, R.: Cam-Clay plasticity. Part II: Implicit integration of constitutive equations based on a nonlinear elastic stress predictor. Comput. Methods Appl. Mech. Engrg.,, 225-240, 1991.
  • 4. da Silva, V.: Yiscoplastic regularization of a Cam-Clay FE-implementation. In: Wunderlich, W., editor, Proc. European Conf. on Computational Mechanics ECCM'99, pages 250-251, paper no. 422, Mimich, 1999. Technical University of Mimich.
  • 5. de Borst, R. and Muhlhaus, H.-B.: Gradient-dependent plasticity: Formulation and algorithmic aspects. Int. J. Numer. Meth. Engng, , 521-539, 1992.
  • 6. de Borst, R. and Pamin, J.: Some novel developments in finite element procedures for gradient-dependent plasticity. Int. J. Numer. Meth. Engng, , 2477-2505, 1996.
  • 7. de Borst, R., Sluys, L., Muhlhaus, H.-B., and Pamin, J.: Fundamental issues in finite element analyses of localization of deformation. Eng. Comput.,, 99-121, 1993.
  • 8. Engelen, R., Gcers, M., and Baaijens, F.: Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behayiour. Int. J. Plasticity, (4), 403-433, 2003.
  • 9. Gens, A. and Potts, D.: Critical state models in computational geomechanics. Eng. Comput.,, 178-197, 1988.
  • 10. Glema, A. and Łodygowski, T.: On importance of imperfections in plastic strain localization problems in materials under impact loading. Aren. Mech., (5-6), 411-423, 2002.
  • 11. Groen, A.: Three-dimensional elasto-plastic analysis of soils. Ph.D. dissertation, Delft University of Technology, Delft, 1997.
  • 12. Heeres, O.: Modern strategies for the numerical modelling of the cyclic and transient behaviour of soils. Ph.D. dissertation, Delft Univcrsity of Technology, Delft, 2001.
  • 13. Jacobsson, L. and Runesson, K.: Integration and calibration of a plasticity model for granular materials. Int. J. Num. Anal. Meth. Geomech., , 259-272, 2002.
  • 14. Muhlhaus, H.-B. and Aifantis, E.: A variational principle for gradient plasticity. Int. J. Solids Struct.,, 845-857, 1991.
  • 15. Perez-Foguet, A., Rodriguez-Ferran, A., and Huerta, A.: Numerical differcntiation for local and global tangent operators in computational plasticity. Comput. Methods Appl. Mech. Engrg., (1), 277-296, 2000.
  • 16. Pinsky, P.: A finite element formulation for elastoplasticity based on three-field variational equation. Comput. Methods Appl. Mech. Engrg.. , 41-60, 1987.
  • l7. Ramaswamy, S. and Aravas, N.: Finite element implementation of gradient plasticity models. Part 1; Gradient-dependent yield functions, Part II: Gradient-dependent evolution equations. Comput. Methods Appl. Mech. Engrg.,, 11-32,33-53, 1998.
  • 18. Roscoe, K. and Burland, J.: On the generalized behayiour of 'wet' clay. In: Engineering plasticity, volume 48, pages 535-609, Cambridge, 1968. Cambridge University Press.
  • 19. Stankiewicz, A. and Pamin, J.: Simulation of instabilities in non-softening Drucker-Prager plasticity. Computer Assisted Mechanics and Engineering Sciences,, 183-204,2001.
  • 20. Svedberg, T. and Runesson, K.: A thermodynamically consistent theory of gradient-regularized plasticity coupled to damage. Int. J. Plasticity, (6-7), 669-696, 1997.
  • 21. Taylor, R.: FEAP - A Finite Element Analysis Program, Yersion 7.4, User manuał. Technical report, University of Califomia at Berkeley, Berkeley, 2001.
  • 22. Truty, A.: On certain class of mixed and stabilized mixed fmite element formulations for single and two-phase geomaterials. Monograph 48, Cracow University of Technology, Cracow, 2002.
  • 23. Vardoulakis, L and Aifantis, E.: A gradient flow theory of plasticity for granular materials. Acta Mechanica,, 197-217, 1991.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0064-0070
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