Localization analysis of damage for one-dimensional peridynamic model

Karel Mikeš, Milan Jirásek, Jan Zeman, Ondřej Rokoš, Ron H.J. Peerlings

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


Peridynamics is a recently developed extension of continuum mechanics, which replaces the traditional concept of stress by force interactions between material points at a finite distance. The peridynamic continuum is thus intrinsically nonlocal. In this contribution, a bond-based peridynamic model with elastic-brittle interactions is considered and the critical strain is defined for each bond as a function of its length. Various forms of length functions are employed to achieve a variety of macroscopic responses. A detailed study of three different localization mechanisms is performed for a one-dimensional periodic unit cell. Furthermore, a convergence study of the adopted finite element discretization of the peridynamic model is provided and an effective event-driven numerical algorithm is described.

Original languageEnglish
Title of host publicationNMM 2020 Nano and Macro Mechanics
PublisherCzech Technical University in Prague
Number of pages6
ISBN (Electronic)9788001068403
Publication statusPublished - 22 Apr 2021
Event11th Conference Nano and Macro Mechanics, NMM 2020 - Prague, Czech Republic
Duration: 17 Sept 202017 Sept 2020

Publication series

NameActa Polytechnica CTU Proceedings
ISSN (Electronic)2336-5382


Conference11th Conference Nano and Macro Mechanics, NMM 2020
Country/TerritoryCzech Republic


  • Damage
  • Localization
  • Nonlocal continuum
  • Peridynamics


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