Embedded discontinuities for 3D mode-I and mode-II failure modelling

Garth N. Wells; Lambertus J. Sluys

Garth N. Wells Delft University of Technology
Lambertus J. Sluys Delft University of Technology

Abstract

The incorporation of displacement discontinuities in finite elements is examined. The incorporation of displacement discontinuities allows the use of discrete constitutive models in a continuum framework in order to avoid the mesh sensitivity of classical continuum models when strain softening is introduced. The procedure for building discontinuities into finite elements is examined, as well as two classes of constitutive models for mode-I and mode-II failure analysis. The performance of the model is illustrated with three-dimensional examples.

Keywords

References

[1] F . Armero, K. Garikipati. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization. International Journal of Solids and Structures, 33(20-22): 2863- 2885 , 1996.
[2] R. de Borst, H.B. Mühlhaus. Gradient-dependent plasticity - formulation and algorithmic aspects. International Journal for Numerical Methods in Engineering, 35(3): 521- 539, 1992.
[3] M. Fleming, YA. Chu, B. Moran, T . Belytschko. Enriched element-free Galerkin methods for crack tip fields. International Journal for Numerical Methods in Engineering, 40: 1483- 1504, 1997.
[4] M. Klisinski, K. Runesson, S. Sture. Finite element with inner softening band. ASCE Journal of Engineering Mechanics, 117(3): 575- 587, 1991.
[5] R. Larsson, K. Runesson. Element-embedded localization band based on regularized displacement discontinuity. ASCE Journal of Engineering Mechanics, 122(5): 402- 411, 1996.