Peridynamic shell membrane formulation

Erkan Oterkus, Erdogan Madenci, Selda Oterkus

Research output: Contribution to journalConference articlepeer-review


Peridynamics (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.

Original languageEnglish (US)
Pages (from-to)411-417
Number of pages7
JournalProcedia Structural Integrity
StatePublished - 2020
Event1st Virtual European Conference on Fracture, VECF 2020 - Virtual, Online
Duration: Jun 29 2020Jul 1 2020


  • Membrane
  • Non-local
  • Peridynamics
  • Shell

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Civil and Structural Engineering
  • Materials Science(all)


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