Simulating concrete failure using the Microplane (M7) constitutive model in correspondence-based peridynamics: Validation for classical fracture tests and extension to discrete fracture

We begin the article by summarizing some key developments in the field of Peridynamics (PD) and arrive at a conclusion that two schools of PD are emerging in recent years. One school takes a more traditional view of PD as a model of a nonlocal continuum, while another approaches PD as a discretization methodology for local continua where the nonlocality is reduced under mesh refinement. Adhering to the latter viewpoint, we develop a PD formulation using the now classical, yet continuously evolving Microplane constitutive model (M7) developed for the failure analysis of concrete materials. We show how to incorporate the M7 model into correspondence-based PD (also known as the non-ordinary state-based PD) and validate the formulation using an extensive set of classical fracture tests. We also propose an extension of the M7 model to handle concrete fracture and fragmentation in the PD context.

Automated summary

This article summarizes key developments in the field of Peridynamics (PD) and identifies two emerging schools of thought. One school views PD as a traditional nonlocal continuum model, while the other sees it as a discretization methodology for local continua. The article focuses on the latter viewpoint and presents a PD formulation using the M7 Microplane constitutive model, specifically designed for failure analysis of concrete materials. The formulation is validated through extensive classical fracture tests, and an extension of the M7 model for concrete fracture and fragmentation in the PD context is proposed.