Details
| Original language | English |
|---|---|
| Article number | 104927 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 99 |
| Early online date | 20 Jan 2023 |
| Publication status | Published - May 2023 |
Abstract
In this study, a weak form of bond-associated peridynamic differential operator (WBA-PDDO) is presented for thermo-mechanical analysis of orthotropic structures. The proposed method inherits the advantage of the original peridynamic differential operator and eliminates the zero-energy mode by introducing the concept of bond-associated family. The WBA-PDDO for thermo-mechanical equations of orthotropic structures is obtained by using the variational principle. The developed model is applied to heat transfer analysis of orthotropic square plate, thermo-mechanical analysis of orthotropic square plate with a hole and orthotropic connecting rod. By comparing with the exact solutions and finite element results, the convergence and accuracy of the proposed method are demonstrated in uniform and non-uniform discretization. The presented model provides an alternative approach for thermo-mechanical analysis of orthotropic structures.
Keywords
- Bond-associated, Orthotropic structures, Peridynamic differential operator, Thermo-mechanical, Variational principles
ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
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In: European Journal of Mechanics, A/Solids, Vol. 99, 104927, 05.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures
AU - Li, Zhiyuan
AU - Huang, Dan
AU - Rabczuk, Timon
AU - Ren, Huilong
N1 - Funding Information: The authors gratefully acknowledge financial support from the National Natural Science Foundation of China [No. 12072104 , 51679077 ], the Fundamental Research Funds for the Central Universities in China [No. B210203025 ], and the China Scholarship Council [No. 202006710119 ].
PY - 2023/5
Y1 - 2023/5
N2 - In this study, a weak form of bond-associated peridynamic differential operator (WBA-PDDO) is presented for thermo-mechanical analysis of orthotropic structures. The proposed method inherits the advantage of the original peridynamic differential operator and eliminates the zero-energy mode by introducing the concept of bond-associated family. The WBA-PDDO for thermo-mechanical equations of orthotropic structures is obtained by using the variational principle. The developed model is applied to heat transfer analysis of orthotropic square plate, thermo-mechanical analysis of orthotropic square plate with a hole and orthotropic connecting rod. By comparing with the exact solutions and finite element results, the convergence and accuracy of the proposed method are demonstrated in uniform and non-uniform discretization. The presented model provides an alternative approach for thermo-mechanical analysis of orthotropic structures.
AB - In this study, a weak form of bond-associated peridynamic differential operator (WBA-PDDO) is presented for thermo-mechanical analysis of orthotropic structures. The proposed method inherits the advantage of the original peridynamic differential operator and eliminates the zero-energy mode by introducing the concept of bond-associated family. The WBA-PDDO for thermo-mechanical equations of orthotropic structures is obtained by using the variational principle. The developed model is applied to heat transfer analysis of orthotropic square plate, thermo-mechanical analysis of orthotropic square plate with a hole and orthotropic connecting rod. By comparing with the exact solutions and finite element results, the convergence and accuracy of the proposed method are demonstrated in uniform and non-uniform discretization. The presented model provides an alternative approach for thermo-mechanical analysis of orthotropic structures.
KW - Bond-associated
KW - Orthotropic structures
KW - Peridynamic differential operator
KW - Thermo-mechanical
KW - Variational principles
UR - http://www.scopus.com/inward/record.url?scp=85146953004&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2023.104927
DO - 10.1016/j.euromechsol.2023.104927
M3 - Article
AN - SCOPUS:85146953004
VL - 99
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 104927
ER -