AffiliationDepartment of Aerospace and Mechanical Engineering, University of Arizona
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CitationOterkus, E., Madenci, E., & Oterkus, S. (2020). Peridynamic shell membrane formulation. Procedia Structural Integrity, 28, 411-417.
JournalProcedia Structural Integrity
RightsCopyright © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/).
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AbstractPeridynamics (PD) is a non-local continuum theory that enables failure prediction. It enables both crack initiation and propagation as well as crack branching. Also, it has been utilized to model simplified structures such as beams, plates and shells. In this study, a new peridynamic shell membrane formulation is presented. The equations of motion are obtained by using Euler-Lagrange equations. The bond constant is determined by comparing peridynamic and classical equations of motion for shell membranes for a special condition of peridynamic internal length parameter, horizon, approaching zero. Comparison of peridynamic results with analytical results for a benchmark problem confirms the validity of the present shell membrane formulation. © 2020 The Authors. Published by Elsevier B.V.
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Except where otherwise noted, this item's license is described as Copyright © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/).