Peristatic solutions for finite one- and two-dimensional systems

Vinesh V. Nishawala, Martin Ostoja-Starzewski

Research output: Contribution to journalArticle

Abstract

Peridynamics is a nonlocal continuum mechanics theory where its governing equation has an integro-differential form. This paper specifically uses bond-based peridynamics. Typically, peridynamic problems are solved via numerical means, and analytical solutions are not as common. This paper analytically evaluates peristatics, the static version of peridynamics, for a finite one-dimensional rod as well as a special case for two dimensions. A numerical method is also implemented to confirm the analytical results.

Original languageEnglish (US)
Pages (from-to)1639-1653
Number of pages15
JournalMathematics and Mechanics of Solids
Volume22
Issue number8
DOIs
StatePublished - Aug 1 2017

Keywords

  • 1D rod
  • 2D plate
  • Peridynamics
  • analytical solutions
  • nonlocal methods
  • peristatics

ASJC Scopus subject areas

  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials

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