Crack propagation simulation without crack tracking algorithm - embedded discontinuity formulation with incompatible modes

Andjelka Stanić (Author), Boštjan Brank (Author), Adnan Ibrahimbegović (Author), Hermann G. Matthies (Author)

Abstract

We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more importantly, we demonstrate that these results can be obtained without using a crack tracking algorithm. Therefore, the simulation of crack patterns with several cracks, including branching, becomes possible. The avoidance of a tracking algorithm is mainly enabled by the application of a novel, local (Gauss-point based) criterion for crack nucleation, which determines the time of embedding the localisation line as well as its position and orientation. We treat the crack evolution in terms of a thermodynamical framework, with softening variables describing internal dissipative mechanisms of material degradation. As presented by numerical examples, many elements in the mesh may develop a crack, but only some of them actually open and/or slide, dissipate fracture energy, and eventually form the crack pattern. The novel approach has been implemented for statics and dynamics, and the results of computed difficult examples (including Kalthoffs test) illustrate its very satisfying performance. It effectively overcomes unfavourable restrictions of the standard embedded strong discontinuity formulations, namely the simulation of the propagation of a single crack only. Moreover, it is computationally fast and straightforward to implement. Our numerical solutions match the results of experimental tests and previously reported numerical results in terms of crack pattern, dissipated fracture energy, and load displacement curve.

Keywords

modeliranje loma materiala;četverokotni končni element;vstavljena močna nezveznost;nekompatibilni pomiki;mehčanje;dinamična odpoved materiala;fracture modelling;quadrilateral finite element;embedded strong discontinuity;incompatible mode method;rigid-damage softening;dynamic fracture;

Data

Language:	English
Year of publishing:	2021
Typology:	1.01 - Original Scientific Article
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
UDC:	624.074.4
COBISS:	73902083
ISSN:	0045-7825
Views:	168
Downloads:	25
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	modeliranje loma materiala;četverokotni končni element;vstavljena močna nezveznost;nekompatibilni pomiki;mehčanje;dinamična odpoved materiala;
Type (COBISS):	Scientific work
Pages:	str. 1-39
Volume:	ǂLetn. ǂ386
Issue:	ǂšt. ǂ114090
Chronology:	2021
DOI:	10.1016/j.cma.2021.114090
ID:	13641422