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.
|Title of host publication||11th Conference Nano and Macro Mechanics, NMM 2020|
|Publisher||Czech Technical University in Prague|
|Number of pages||6|
|Publication status||Published - 22 Apr 2021|
|Event||11th Conference Nano and Macro Mechanics, NMM 2020 - Prague, Czech Republic|
Duration: 17 Sep 2020 → …
|Name||Acta Polytechnica CTU Proceedings|
|Conference||11th Conference Nano and Macro Mechanics, NMM 2020|
|Period||17/09/20 → …|
Bibliographical noteFunding 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.
© Czech Technical University in Prague, 2021.
- Nonlocal continuum