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 models, discontinuous finite element discretizations, and phase-field fracture simulations. However, Peridynamics allows an alternative approach to fracture because it models the material in a nonlocal form. Our contribution presents a concept of dynamic fracture with continuum-kinematicsbased 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 necessitates 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 interactions. 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. 92
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