Details
| Original language | English |
|---|---|
| Article number | 102930 |
| Journal | Theoretical and Applied Fracture Mechanics |
| Volume | 113 |
| Early online date | 18 Feb 2021 |
| Publication status | Published - Jun 2021 |
Abstract
Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.
Keywords
- Bond-based peridynamic, Finite element framework, Non-uniform horizon, Nonlocal enhancement, Novel failure criterion
ASJC Scopus subject areas
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: Theoretical and Applied Fracture Mechanics, Vol. 113, 102930, 06.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A micropolar peridynamic model with non-uniform horizon for static damage of solids considering different nonlocal enhancements
AU - Zhang, Yiming
AU - Yang, Xueqing
AU - Wang, Xueya
AU - Zhuang, Xiaoying
N1 - Funding Information: The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (NSFC) (51809069), the Hebei Province Natural Science Fund E2019202441 and the 2019 Foreign Experts Plan of Hebei Province.
PY - 2021/6
Y1 - 2021/6
N2 - Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.
AB - Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.
KW - Bond-based peridynamic
KW - Finite element framework
KW - Non-uniform horizon
KW - Nonlocal enhancement
KW - Novel failure criterion
UR - http://www.scopus.com/inward/record.url?scp=85101909840&partnerID=8YFLogxK
U2 - 10.1016/j.tafmec.2021.102930
DO - 10.1016/j.tafmec.2021.102930
M3 - Article
AN - SCOPUS:85101909840
VL - 113
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
M1 - 102930
ER -