Fracture of quasi-brittle solids by continuum and discrete-crack damage models and embedded discontinuity formulation

Stanić, Andjelka (author), Brank, Boštjan (author), Brancherie, Delphine (author)

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.

• Language: English
• 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
• Year: 2020
• Number of pages: Str. 1-26
• Numbering: Letn. 227, 15. marec/106924
• PID: 20.500.12556/RUL-114377
• UDC: 624.04
• ISSN on article: 1873-7315
• DOI: 10.1016/j.engfracmech.2020.106924
• COBISS.SI-ID: 9088609
• Publication date in RUL: 24.02.2020

Record is a part of a journal

• Title: Engineering fracture mechanics
• Publisher: Elsevier Ltd.
• ISSN: 1873-7315
• COBISS.SI-ID: 9089633

Secondary language

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

Projects

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