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International Journal for Multiscale Computational Engineering

Erscheint 6 Ausgaben pro Jahr

ISSN Druckformat: 1543-1649

ISSN Online: 1940-4352

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ON THE ROLE OF THE INFLUENCE FUNCTION IN THE PERIDYNAMIC THEORY

Volumen 9, Ausgabe 6, 2011, pp. 689-706
DOI: 10.1615/IntJMultCompEng.2011002527
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ABSTRAKT

The influence function in the peridynamic theory is used to weight the contribution of all the bonds participating in the computation of volume-dependent properties. In this work, we use influence functions to establish relationships between bond-based and state-based peridynamic models. We also demonstrate how influence functions can be used to modulate nonlocal effects within a peridynamic model independently of the peridynamic horizon. We numerically explore the effects of influence functions by studying wave propagation in simple one-dimensional models and brittle fracture in three-dimensional models.

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