A novel peridynamic cylindrical shell formulation

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Yang, Zhenghao and Naumenko, Konstantin and Oterkus, Selda and Oterkus, Erkan (2026) A novel peridynamic cylindrical shell formulation. Thin-Walled Structures, 221. 114430. ISSN 0263-8231 (https://doi.org/10.1016/j.tws.2025.114430)

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Abstract

Peridynamics (PD) is a new continuum mechanics formulation which has advantages over classical continuum mechanics (CCM) due to its mathematical structure. Peridynamics can provide solutions to the problems including discontinuities such as cracks. In addition, peridynamics has a length scale parameter, named as horizon, which allows peridynamics to represent non-local behaviour that cannot be captured by CCM. As in classical continuum mechanics, PD formulations are also available for simplified structures such as beams, plates, and shells. Solution of PD equations is usually done by using numerical approaches and analytical solution of PD equations is limited in the literature. In this study, details of the derivation of a novel peridynamic cylindrical shell formulation is provided. Several numerical cases are presented to validate the current approach and demonstrate its capabilities including a half cylindrical shell with simply supported boundary conditions and a full cylindrical shell with clamped boundary conditions. Displacement results obtained from PD solution are compared against results obtained from finite element method (FEM) and a very good agreement is obtained between the two solutions. Moreover, natural frequencies obtained from PD analysis are compared with results obtained from CCM solution. It is shown that PD results converge to CCM solution results as the horizon size decreases and diverge as the horizon size increases. This shows that peridynamics can be a suitable technique for problems having non-classical non-local behaviour.

ORCID iDs

Yang, Zhenghao, Naumenko, Konstantin, Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279 and Oterkus, Erkan ORCID logoORCID: https://orcid.org/0000-0002-4614-7214;
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