||Numerical analysis of strong discontinuity propagation in dilatant media: enhanced strain finite elements and tracking strategy
; Kolditz, O.
||Journal of Theoretical and Applied Mechanics
||strong discontinuity; discontinuity propagation; tracking; enhanced strain finite elements
||In this work a new approach is presented for discontinuity propagation in dilatant media. This model is a combination of enhanced strain finite elements and a specific tracking algorithm for discontinuity propagation. A non-associative flow rule is used until onset of discontinuity for plasticity calculation. For the evolution of the discontinuity (i.e. post localization) an associative flow rule is applied to derive a failure model. The material behaviour is represented by Drucker-Prager plasticity. Quadratic smooth functions are utilized in order to improve the kinematic properties of elements having discontinuities. A new discontinuity tracking technique is developed for 2D problems. This algorithm is efficient because tracking takes place only on neighbouring elements of the last ones where discontinuities have occurred. Three applications are presented which cover typical problems from geomechanics, such as biaxial and shear tests as well as footing problems.
|Persistent UFZ Identifier
|Wang, W., Kolditz, O. (2008):
Numerical analysis of strong discontinuity propagation in dilatant media: enhanced strain finite elements and tracking strategy
J. Theor. Appl. Mech. 38 (1-2), 135 - 164