Review of peridynamic modelling of material failure and damage due to impact

Abstract Failure and damage of natural and man-made materials as a result of impact loading needs to be understood as it is a phenomena that occurs in many fields of science and engineering. Impact mechanics is typically modelled using a wide range of numerical approaches, such as rigid body dynamics and wave propagation. However, many of these methods are limited to capturing the impact of bodies but not the fracture mechanics, especially at weak spot regions like material interfaces, cracks, or voids. Imperfections decrease the strength of materials due to the presence of stress concentration regions leading to failure occurring at the lower stress levels. Therefore, due to the limitations in the classical theories, alternative methods need to be considered. Peridynamics, a non-local theory, is a reformulation of the classical continuum mechanics that uses integrals instead of spatial derivatives, which makes it a competent tool to study and predict impact-based fracture because of its ability to model discontinuities in different materials and predict the extent of damage. This review article provides an overview of different applications of peridynamics in modelling impact damage due to collision, and offers a brief summary of the peridynamic theory.

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