A meshfree method for bending and failure in non-ordinary peridynamic shells

O’Grady, James; Foster, Janet

doi:10.1007/s00466-016-1269-z

Cited by 13 publications

(1 citation statement)

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“…Yaghoobi and Chopeza [128] presented a meshfree method based on the non-ordinary state-based PD to analyze fiber-reinforced concrete structures. An interesting study by O'Grady and Foster [129] presented a meshfree implementation of a state-based PD model to analyze the bending and failure of shells, thereby rotational springs are introduced between pairs of PD bonds. Seleson and Littlewood [130] investigated the accuracy and convergence of meshfree static PD simulations.…”

Section: Meshfree Methodsmentioning

confidence: 99%

Peridynamics review

Javili

Morasata

Öterkuş

et al. 2018

Mathematics and Mechanics of Solids

248

109

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Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000. The roots of PD can be traced back to the early works of Gabrio Piola according to dell’Isola et al. PD has been attractive to researchers as it is a non-local formulation in an integral form, unlike the local differential form of classical continuum mechanics. Although the method is still in its infancy, the literature on PD is fairly rich and extensive. The prolific growth in PD applications has led to a tremendous number of contributions in various disciplines. This manuscript aims to provide a concise description of the PD theory together with a review of its major applications and related studies in different fields to date. Moreover, we succinctly highlight some lines of research that are yet to be investigated.

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Section: Meshfree Methodsmentioning

confidence: 99%