Search results for: PERIDYNAMICS

• A non-linear direct peridynamics plate theory

  Publication

  • K. Naumenko
  • V. Eremeev

  - COMPOSITE STRUCTURES - Year 2022

  In this paper a direct non-local peridynamics theory for thin plates is developed. Peridynamic points are assumed to behave like rigid bodies with independent translation and finite rotation degrees of freedom. The non-local mechanical interaction between points is characterized by force and moment vectors. The balance equations including the linear momentum, the angular momentum and the energy are presented. Peridynamic deformation...

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• Wave dispersion relations in peridynamics: Influence of kernels and similarities to nonlocal elasticity theories

  Publication

  • V. Eremeev
  • K. Naumenko

  - INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE - Year 2025

  We investigate the wave dispersion relations of an infinite elastic bar within the framework of linear bond-based peridynamics. This nonlocal integral-type model accounts for long-range interactions, which become significant at small scales and in cases of damage and fracture. Since a key element of this material model is the kernel function, we derive dispersion curves for several kernel choices. Notably, for non-singular kernels,...

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• Journal of Peridynamics and Nonlocal Modeling

  Journals

  ISSN: 2522-896X , eISSN: 2522-8978