Details
| Original language | English |
|---|---|
| Article number | 116230 |
| Number of pages | 24 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 418 |
| Early online date | 12 Oct 2023 |
| Publication status | Published - 1 Jan 2024 |
Abstract
The present study focuses on the applications of energy decomposition in diverse nonlocal models, such as elasticity, thin plates, and gradient elasticity, with the aim of establishing bond-based nonlocal models in which the bond force is solely dependent on the deformation of a single bond. Through the adoption of an appropriate bond force form and the application of energy equivalence between local and nonlocal models, several kinds of highly succinct bond-based models are obtained. The present study involves a reexamination of nonlocal operator methods, with a particular focus on the simplified version within a symmetric support domain. A three-point bent-bond model has been proposed to characterize the curvature and bending moment. A crack criterion for normal strain of the bond based on Griffith theories is proposed. This approach is analogous to the phase field model and allows for individual application to each bond, resulting in strain localization. By implementing this rule, the path of the crack can be predicted in an automated manner through the act of cutting the bond, yielding outcomes that are akin to those obtained via the phase field method. Simultaneously, a crack rule for critical shear strains in shear fractures is presented. Moreover, an incremental version of the plasticity model associated with bond force has been formulated. The nonlocal bond-based models are further validated through several numerical examples.
Keywords
- Bent bond, Bond-based, Energy orthogonal decomposition, Shear damage, Tensile damage
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computer Methods in Applied Mechanics and Engineering, Vol. 418, 116230, 01.01.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bond-based nonlocal models by nonlocal operator method in symmetric support domain
AU - Ren, Huilong
AU - Zhuang, Xiaoying
AU - Fu, Xiaolong
AU - Li, Zhiyuan
AU - Rabczuk, Timon
N1 - Funding Information: The first author gratefully acknowledges the financial support from the EU project entitled ”Computational Modeling, Topological Optimization, and Design of Flexoelectric Nano Energy Harvesters” (ERC COTOFLEXI 802205 ).
PY - 2024/1/1
Y1 - 2024/1/1
N2 - The present study focuses on the applications of energy decomposition in diverse nonlocal models, such as elasticity, thin plates, and gradient elasticity, with the aim of establishing bond-based nonlocal models in which the bond force is solely dependent on the deformation of a single bond. Through the adoption of an appropriate bond force form and the application of energy equivalence between local and nonlocal models, several kinds of highly succinct bond-based models are obtained. The present study involves a reexamination of nonlocal operator methods, with a particular focus on the simplified version within a symmetric support domain. A three-point bent-bond model has been proposed to characterize the curvature and bending moment. A crack criterion for normal strain of the bond based on Griffith theories is proposed. This approach is analogous to the phase field model and allows for individual application to each bond, resulting in strain localization. By implementing this rule, the path of the crack can be predicted in an automated manner through the act of cutting the bond, yielding outcomes that are akin to those obtained via the phase field method. Simultaneously, a crack rule for critical shear strains in shear fractures is presented. Moreover, an incremental version of the plasticity model associated with bond force has been formulated. The nonlocal bond-based models are further validated through several numerical examples.
AB - The present study focuses on the applications of energy decomposition in diverse nonlocal models, such as elasticity, thin plates, and gradient elasticity, with the aim of establishing bond-based nonlocal models in which the bond force is solely dependent on the deformation of a single bond. Through the adoption of an appropriate bond force form and the application of energy equivalence between local and nonlocal models, several kinds of highly succinct bond-based models are obtained. The present study involves a reexamination of nonlocal operator methods, with a particular focus on the simplified version within a symmetric support domain. A three-point bent-bond model has been proposed to characterize the curvature and bending moment. A crack criterion for normal strain of the bond based on Griffith theories is proposed. This approach is analogous to the phase field model and allows for individual application to each bond, resulting in strain localization. By implementing this rule, the path of the crack can be predicted in an automated manner through the act of cutting the bond, yielding outcomes that are akin to those obtained via the phase field method. Simultaneously, a crack rule for critical shear strains in shear fractures is presented. Moreover, an incremental version of the plasticity model associated with bond force has been formulated. The nonlocal bond-based models are further validated through several numerical examples.
KW - Bent bond
KW - Bond-based
KW - Energy orthogonal decomposition
KW - Shear damage
KW - Tensile damage
UR - http://www.scopus.com/inward/record.url?scp=85173209799&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2301.00864
DO - 10.48550/arXiv.2301.00864
M3 - Article
AN - SCOPUS:85173209799
VL - 418
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 116230
ER -