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Peridynamic beams: A non-ordinary,state-based model
Authors:James O’Grady  John Foster
Institution:The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, United States
Abstract:This paper develops a new peridynamic state based model to represent the bending of an Euler–Bernoulli beam. This model is non-ordinary and derived from the concept of a rotational spring between bonds. While multiple peridynamic material models capture the behavior of solid materials, this is the first 1D state based peridynamic model to resist bending. For sufficiently homogeneous and differentiable displacements, the model is shown to be equivalent to Eringen’s nonlocal elasticity. As the peridynamic horizon approaches 0, it reduces to the classical Euler–Bernoulli beam equations. Simple test cases demonstrate the model’s performance.
Keywords:Peridynamics  Non-ordinary model  Non-local model  Non-local beam
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