A non-ordinary peridynamics implementation for anisotropic materials

TL;DR

This paper introduces a non-ordinary state-based peridynamics model that directly incorporates anisotropic material properties, enabling more accurate simulation of fracture behavior in complex materials like composites, rocks, and bones.

Contribution

The paper develops and validates a novel non-ordinary peridynamics formulation for directly modeling generally anisotropic materials, improving upon previous isotropic-based approaches.

Findings

Validated model against FEM and experimental data

Successfully simulated crack propagation in anisotropic composites

Demonstrated applicability to various anisotropic materials

Abstract

Peridynamics (PD) represents a new approach for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical bonds. This formulation allows us to model crack initiation, propagation, branching and coalescence without special assumptions. Up to date, anisotropic materials were modelled in the PD framework as different isotropic materials (for instance, fibre and matrix of a composite laminate), where the stiffness of the bond depends on its orientation. A non-ordinary state-based formulation will enable the modelling of generally anisotropic materials, where the material properties are directly embedded in the formulation. Other material models include rocks, concrete and biomaterials such as bones. In this paper, we implemented this model and validated it for anisotropic composite materials. A composite damage criterion has been employed to model the crack propagation behaviour. Several numerical examples have been used to validate the approach, and compared to other benchmark solution from the finite element method (FEM) and experimental results when available.