Abstract
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 language | English |
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Title of host publication | NMM 2020 Nano and Macro Mechanics |
Publisher | Czech Technical University in Prague |
Pages | 47-52 |
Number of pages | 6 |
ISBN (Electronic) | 9788001068403 |
DOIs | |
Publication status | Published - 22 Apr 2021 |
Event | 11th Conference Nano and Macro Mechanics, NMM 2020 - Prague, Czech Republic Duration: 17 Sept 2020 → 17 Sept 2020 |
Publication series
Name | Acta Polytechnica CTU Proceedings |
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Volume | 30 |
ISSN (Electronic) | 2336-5382 |
Conference
Conference | 11th Conference Nano and Macro Mechanics, NMM 2020 |
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Country/Territory | Czech Republic |
City | Prague |
Period | 17/09/20 → 17/09/20 |
Funding
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.
Keywords
- Damage
- Localization
- Nonlocal continuum
- Peridynamics