A Nonlocal Peridynamic Plasticity Model for the Dynamic Flow and Fracture of Concrete.

A Peridynamics-Based Micromechanical Modeling Approach for Random Heterogeneous Structural Materials

“…Although the framework presented in the paper can be effectively applied to 3D unit cells, a trade-off between computational demand and efficiency has been struck by analyzing 2D unit cells for the comparative evaluation. Such 2D unit cells have been successfully implemented in peridynamic formulations in [10].…”

“…In contrast to contact forces in classical methods, peridynamics considers the forces between particles beyond the immediate neighbor, as though they act across a finite distance. This non-locality contributes to the robustness of peridynamics in handling multiple interactive scales [9,10]. microstructure followed by a peridynamics-based micromechanical analysis.…”

“…Additionally, the introduction of force and deformation states in the state-based model allows easier correlation with classical continuum mechanics and easy import of classical constitutive relationships into the framework, thereby reconciling the peridynamic theory with classical mechanics [14]. The wide applicability of peridynamic formulation is exemplified by its usage for modeling fiber reinforced composites [15][16][17], polycrystals [15,18,19] and macro-scale concrete structures [10,20].While previous studies mostly correspond to macro-scale analysis of such materials, the current study implements a multiscale state-based peridynamic framework towards effective property computation in random heterogeneous structural materials. Towards that end, a numerical simulation framework is proposed in the current study involving multi-phase random microstructures which are assigned peridynamic material models and solved at different interactive length scales.…”

“…Additionally, the introduction of force and deformation states in the state-based model allows easier correlation with classical continuum mechanics and easy import of classical constitutive relationships into the framework, thereby reconciling the peridynamic theory with classical mechanics [14]. The wide applicability of peridynamic formulation is exemplified by its usage for modeling fiber reinforced composites [15][16][17], polycrystals [15,18,19] and macro-scale concrete structures [10,20].…”

A cohesive model for the rupture of concrete by low‐cycle fatigue

“…It is possible to broadly separate the many methodologies in two groups: the ones where cracks are considered indirectly through material softening and the ones where cracks are explicitly modeled. In the first category, the fatigue damage models 23 can be cited as example as well as the crack band models 21,22,24,25 and more recently peridynamics, 26,27 phase field models, 28 among other models where strong discontinuities are incorporated into interpolatory functions. 29 In general, in these methodologies, crack path does not need to be known previously nor remeshing is necessary to follow crack path.…”