Simulation of instabilities in non-softening Drucker-Prager plasticity

  • Anna Stankiewicz Cracow University of Technology
  • Jerzy Pamin Cracow University of Technology

Abstract

The problem of instability and strain localization in a hardening non-associative Drucker-Prager plasticity theory is analyzed. The classical and gradient-enhanced versions of the theory are reviewed and instability indicators are summarized. The regularizing properties of the gradient-enhancement are shown. The classical plane strain biaxial compression test is analyzed in terms of the analytical prediction of ellipticity loss and numerical simulation of the pr,ocess of shear band formation and evolution. The influence of material model parameters, especially of the degree of non-associativity and the gradient influence, on the instability properties is demonstrated.

Keywords

References

[1] DIANA Finite Element Analysis. User's Manual, Release 6.1. Technical report, TNO Building and Construction Research, Delft, 1996.
[2] J.P. Bardet. Finite element analysis of plane strain bifurcation within compressible solids. Camp. and Struct., 36(6): 993- 1007, 1990.
[3] J.P. Bardet. Analytical solutions for the plane-strain bifurcation of compressible solids. ASME J. Appl. Mech., 58: 651- 657, 1991.
[4] J .P. Bardet. Plane-strain instability of saturated porous media. ASCE J. Eng. Mech., 121(6): 717- 724, 1995.
[5] Z.P. Bažant and G. Pijaudier-Cabot. Nonlocal continuum damage, localization instability and convergence. ASME J. Appl. Mech., 55: 287- 293, 1988.
Published
Mar 27, 2023
How to Cite
STANKIEWICZ, Anna; PAMIN, Jerzy. Simulation of instabilities in non-softening Drucker-Prager plasticity. Computer Assisted Methods in Engineering and Science, [S.l.], v. 8, n. 1, p. 183-204, mar. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1199>. Date accessed: 06 may 2024.
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Articles