Fracture of quasi-brittle solids by continuum and discrete-crack damage models and embedded discontinuity formulation
ID Stanić, Andjelka (Author), ID Brank, Boštjan (Author), ID Brancherie, Delphine (Author)

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We derive a finite element formulation for modelling fracture in 2d quasi-brittle solids. The kinematics of isoparametric quadrilateral is enriched by strong discontinuity in displacements in order to capture the discrete crack opening and sliding. To describe both the bulk and crack-surface dissipative phenomena induced by the crack propagation, a combination of continuum and discrete damage models is used. The continuum damage model describes dissipation in the bulk, which mainly occurs ahead of the crack front. The discrete damage model includes two uncoupled rigid-damage cohesive laws to deal with fracture energy release due to crack propagation in modes I and II. The numerical solution strategy is based on a local-global operator-split procedure and incorporates a crack-tracking algorithm for enforcing continuity of the crack path. Numerical examples illustrate very satisfying performance of the derived formulation in terms of mesh independency and robustness. The sensitivity of results on material parameters for mixed mode fracture is also illustrated.

Keywords:SE(T), civil engineering, crack propagation modelling, quasi brittle materials, embedded discontinuity finite elements
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Publication status:In print
Publication version:Author Accepted Manuscript
Submitted for review:21.09.2019
Article acceptance date:03.02.2020
Publication date:14.02.2020
Number of pages:Str. 1-26
Numbering:Letn. 227, 15. marec/106924
PID:20.500.12556/RUL-114377 This link opens in a new window
ISSN on article:1873-7315
DOI:10.1016/j.engfracmech.2020.106924 This link opens in a new window
COBISS.SI-ID:9088609 This link opens in a new window
Publication date in RUL:24.02.2020
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Record is a part of a journal

Title:Engineering fracture mechanics
Publisher:Elsevier Ltd.
COBISS.SI-ID:9089633 This link opens in a new window

Secondary language

Keywords:gradbeništvo, modeliranje širjenja razpok, kvazi krhki materiali, končni elementi z vgrajeno strogo nezveznostjo


Funder:ARRS - Slovenian Research Agency
Project number:J2-1722
Name:Numerično modeliranje širjenja razpok v krhkih in duktilnih konstrukcijah

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