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 publication11th Conference Nano and Macro Mechanics, NMM 2020
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 Sep 2020 → …

Publication series

NameActa Polytechnica CTU Proceedings
ISSN (Electronic)2336-5382


Conference11th Conference Nano and Macro Mechanics, NMM 2020
CountryCzech Republic
Period17/09/20 → …

Bibliographical note

Funding Information:
This research has been performed in the Center of Advanced Applied Sciences (CAAS), financially supported by the European Regional Development Fund (project No. CZ.02.1.01/0.0/0.0/16_019/0000778). Financial support received from the Czech Technical University in Prague under project SGS20/038/OHK1/1T/11 is gratefully acknowledged.

Publisher Copyright:
© Czech Technical University in Prague, 2021.


  • Damage
  • Localization
  • Nonlocal continuum
  • Peridynamics

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