IWPDF2023

Peridynamics as a simulation method for dynamic fracture

K. Partmann ∗ , K. Weinberg

Universität Siegen, Fakultät IV, Lehrstuhl für Festkörpermechanik

∗ kai.partmann@uni-siegen.de

Keywords: continuum-kinematics-based peridynamics, dynamic fracture, damage models

Fracture problems have been addressed by various computational methods, such as damage mod els, discontinuous finite element discretizations, and phase-field fracture simulations. However, Peridynamics allows an alternative approach to fracture because it models the material in a non local form. Our contribution presents a concept of dynamic fracture with continuum-kinematics based peridynamics. The chosen continuum-kinematics-based peridynamic model extends the current peridynamic models by introducing surface and volume-based interactions. The surfaces and volumes considered for these non-local interactions are constructed using the point families derived from the material points’ horizon. The new continuum-based peridynamic approach ne cessitates a new understanding of damage and fracture. It is no longer sufficient to think of material damage and brittle fracture as bond-based events because of the three different inter actions. Thus, we extend the force density of the material by kinematic variables that account for the loss of load-carrying capability. Furthermore, the surface effect within continuum-based peridynamics is discussed. By numerical examples, it is shown that the presented approach can correctly handle crack growth and spontaneous crack initiation under dynamic loading conditions with large deformations.

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