000021290 001__ 21290
000021290 005__ 20170522124347.0
000021290 04107 $$aeng
000021290 046__ $$k2017-05-15
000021290 100__ $$aEliáš, J.
000021290 24500 $$aMITIGATION OF MESH DEPENDENCY IN PROBABILISTIC FINITE ELEMENT SIMULATION OF QUASIBRITTLE FRACTURE

000021290 24630 $$n23.$$pEngineering Mechanics 2017
000021290 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021290 506__ $$arestricted
000021290 520__ $$2eng$$aThe 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.

000021290 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021290 653__ $$aLocalization, Finite elements, Mesh dependency, Crack band, Spatial randomness.

000021290 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021290 720__ $$aEliáš, J.$$iLe J., -L.
000021290 8560_ $$ffischerc@itam.cas.cz
000021290 8564_ $$s1025606$$uhttps://invenio.itam.cas.cz/record/21290/files/0302.pdf$$yOriginal version of the author's contribution in proceedings, page 302, section FRA.
000021290 962__ $$r21225
000021290 980__ $$aPAPER