Abstract
Compared to SPH, Peridynamics is a more recent meshfree method. It is understood as the application of Molecular Dynamics to the macroscopic description of continua. Analogous to Molecular Dynamics (see, e.g., Griebel et al. (2013)), Peridynamics distinguishes between bond-based and state-based formulations. In the former (Silling (2000)), the force results solely from the displacements between two particles. In the state-based approach (Silling et al. (2007)), the force at a particle is determined from the deformations of all particles in the neighborhood. State-based Peridynamics further divides into an ordinary and a non-ordinary approach. In the former, the line of action of the stress between two particles is assumed to run along with its distance. In non-ordinary Peridynamics, this restriction is removed.
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Weißenfels, C. (2022). Peridynamics. In: Simulation of Additive Manufacturing using Meshfree Methods. Lecture Notes in Applied and Computational Mechanics, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-030-87337-0_7
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DOI: https://doi.org/10.1007/978-3-030-87337-0_7
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