Engineering Mechanics

Proceedings Vol. 23 (2017)

ENGINEERING MECHANICS 2017

Copyright © 2017 Brno University of Technology, Faculty of Mechanical Engineering, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno

 

Eliáš J., Le J. -L.
pages 302 - 305, full text

The contribution introduces probabilistic variant of the crack band model to mitigate mesh dependency issues in probabilistic finite element simulations of quasibrittle fracture. The probabilistic crack band model is limited to the element size larger than the localization band. It introduces transition from the weakest link theory (crack may choose freely where to initiate and propagate within the element) to standard crack band model with only one possible crack band position within the element. The transition is driven by level of localization reached by the element and its surroundings. The probability density function of the elemental strength and energy dissipation is modified accordingly. The model is applied in simulations of prisms loaded under tension, bending and three-point-bending. The obtained statistical characteristics of the results are nearly mesh independent proving applicability of the probabilistic crack band model.

Text and facts may be copied and used freely, but credit should be given to these Proceedings.

All papers were reviewed by members of the scientific committee.