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A two-dimensional peridynamic model for thin plates

Michael Taylor, David J Steigmann

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Source: Crossref

Published: Dec 16, 2013

DOI: 10.1177/1081286513512925

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Source abstract

A general plate model based on the peridynamic theory of solid mechanics is presented. The model is derived as a two-dimensional approximation of the three-dimensional bond-based theory of peridynamics via an asymptotic analysis. The resulting plate theory is demonstrated using a specially designed peridynamics code to simulate the fracture of a brittle plate with a central crack under tensile loading.

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A two-dimensional peridynamic model for thin plates — Mathematical Frontier Network