A novel quasi-brittle damage model implemented under quasistatic 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.