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- W3126126937 abstract "In this paper we develop a new Peridynamic approach that naturally includes varying horizon sizes and completely solves the ghost force issue. Therefore, the concept of dual-horizon is introduced to consider the unbalanced interactions between the particles with different horizon sizes. The present formulation is proved to fulfill both the balances of linear momentum and angular momentum. Neither the partial stress tensor nor the `slice technique are needed to ameliorate the ghost force issue in cite{Silling2014}. The consistency of reaction forces is naturally fulfilled by a unified simple formulation. The method can be easily implemented to any existing peridynamics code with minimal changes. A simple adaptive refinement procedure is proposed minimizing the computational cost. The method is applied here to the three Peridynamic formulations, namely bond based, ordinary state based and non-ordinary state based Peridynamics. Both two- and three- dimensional examples including the Kalthof-Winkler experiment and plate with branching cracks are tested to demonstrate the capability of the method in solving wave propagation, fracture and adaptive analysis ." @default.
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- W3126126937 date "2016-07-29" @default.
- W3126126937 modified "2023-10-14" @default.
- W3126126937 title "Dual-horizon peridynamics" @default.
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- W3126126937 doi "https://doi.org/10.1002/nme.5257" @default.
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