Geodesic
A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure
Theoretical and applied mechanics, Tome 50 (2023) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A novel quasi-brittle damage model implemented under quasi-static loading condition using bond-based peridynamics theory for progressive failure is proposed to better predict damage initiation and propagation in solid materials. Since peridynamics equation of motion was invented in dynamic configuration, this paper applies the adaptive dynamic relaxation equation to achieve steady-state in peridynamics formulation. To accurately characterise the progressive failure process in cohesive materials, we incorporate the dynamic equation with the novel damage model for quasi-brittle materials. Computational examples of 2D compressive and tensile problems using the proposed model are presented. This paper presents advancement by incorporating the adaptive dynamic equation approach into a new damage model for quasi-brittle materials. This amalgamation allows for a more accurate representation of the behavior of damaged materials, particularly in static or quasi-static loading situations, bringing the framework closer to reality. This research paves the way for the peridynamics formulation to be employed for a far broader class of loading condition behaviour than it is now able to.
Keywords: peridynamics, quasi-static loading, crack propagation;progressive failure;cohesive brittle materials 
@article{TAM_2023_50_1_a6,
     author = {H. N. Yakin and M. R. M. Rejab and Nur A. Hashim and N. Nikabdullah},
     title = {A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure},
     journal = {Theoretical and applied mechanics},
     pages = {73 - 102},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2023},
     url = {http://geodesic.mathdoc.fr/item/TAM_2023_50_1_a6/}
}
TY  - JOUR
AU  - H. N. Yakin
AU  - M. R. M. Rejab
AU  - Nur A. Hashim
AU  - N. Nikabdullah
TI  - A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure
JO  - Theoretical and applied mechanics
PY  - 2023
SP  - 73 
EP  -  102
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAM_2023_50_1_a6/
ID  - TAM_2023_50_1_a6
ER  - 
%0 Journal Article
%A H. N. Yakin
%A M. R. M. Rejab
%A Nur A. Hashim
%A N. Nikabdullah
%T A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure
%J Theoretical and applied mechanics
%D 2023
%P 73 - 102
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAM_2023_50_1_a6/
%F TAM_2023_50_1_a6
H. N. Yakin; M. R. M. Rejab; Nur A. Hashim; N. Nikabdullah. A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure. Theoretical and applied mechanics, Tome 50 (2023) no. 1. http://geodesic.mathdoc.fr/item/TAM_2023_50_1_a6/