Comparison of evolving gradient damage formulations with different activity functions
Authors:
- Adam Wosatko
Abstract
In the paper, two existing upgrades of the gradient damage model for the simulations of cracking in concrete are compared. The damage theory is made nonlocal via a gradient enhancement to overcome the mesh dependence of simulation results. The implicit gradient model with an averaging equation, where the internal length parameter is assumed as constant during the strain softening analysis, gives unrealistically broadened damage zones. The gradient enhancement of the scalar damage model can be improved via a function of an internal length scale, so an evolution of the gradient activity is postulated during the localization process. Two different modifications of the averaging equation and respective evolving gradient damage formulations are presented. Different activity functions are tested to see whether the formation of a too wide damage zone still occurs. Activating or localizing character of the gradient influence can be introduced and the impact of both approaches on the numerical results is shown in the paper. The aforementioned variants are implemented and examined using the benchmarks of tension in a bar and bending of a cantilever beam.
- Record ID
- CUT4e99e32e34b641778df0b587d6dd7048
- Publication categories
- ;
- Author
- Journal series
- Archive of Applied Mechanics, ISSN 0939-1533, e-ISSN 1432-0681
- Issue year
- 2021
- Vol
- 91
- No
- 2
- Pages
- 597-627
- Other elements of collation
- rys.; schem.; tab.; wykr.; Bibliografia (na s.) - 625-627; Bibliografia (liczba pozycji) - 48; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 91, Iss. 2, Spec. Iss.
- Substantive notes
- Special Issue of the 10th German–Greek–Polish symposium on "Recent Advances in Mechanics" 2019
- Keywords in English
- regularized media, gradient damage, localization, gradient activity function, transient internal length scale, finite element method
- DOI
- DOI:10.1007/s00419-021-01889-2 Opening in a new tab
- URL
- https://link.springer.com/article/10.1007/s00419-021-01889-2 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 70
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT4e99e32e34b641778df0b587d6dd7048/
- URN
urn:pkr-prod:CUT4e99e32e34b641778df0b587d6dd7048
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.