Abstract:

Peridynamics (PD) has recently attracted significant attentions from researchers in the field of computational mechanics because it can model complex fracture process with relative ease even for 3D dynamic fracture problems. However, the number of its applications to dynamic fracture problems of rocklike materials has been very limited. This paper presents the application of a self-devolved 2D/3D PD simulator based on mesh-free particle discretization scheme. To overcome the significant computational burden of the PD, we implemented a PD simulator with a parallelization scheme utilizing general purpose graphic processing unit (GPGPU). The developed code is verified first using some benchmark simulations. Then, by applying the code to 2D/3D dynamic fracture problems of rock-like materials assuming high loading rate such as detonation and deflagration phenomena, the applicability and future task of the developed PD simulator are demonstrated.

1 Introduction

Successful modeling of complex dynamic fracture process in rocks due to external impact loads, such as percussive hammer drilling and explosive blasting, is very important yet challenging task. In many existing computational mechanics approaches based on such as finite element method (FEM) including eXtended FEM, the target governing equation includes the spacial derivative of stress tensor and this causes the crack tip singularity of strain/stress. Silling (Silling, 2000,) developed the peridynamics (PD) as a new paradigm of continuum mechanics based on non-local theory. The spacial derivative of stress tensor is replaced by integration of force (state) in the PD which is characterized by length-scale parameter "horizon" and the crack is a part of the solution and not a part of the problem. Furthermore, no representation of the crack topology is needed. This feature makes the PD theory ideal for handling the problems with complex fracture process with relative ease. In fact, crack initiation/propagation/branching/coalescence even for 3D dynamics fracture problems can be easily modeled in the PD. At present, there have been three types of peridynamics formulations developed, namely, the bond-based PD (BB-PD), ordinary state-based PD (OSB-PD) and non-ordinary state-based PD (NOSB-PD). However, the PD is still a relatively new theory and the number of its applications to rock dynamics problems has been very limited.

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