Details
| Original language | English |
|---|---|
| Article number | 106272 |
| Journal | International Journal of Mechanical Sciences |
| Volume | 196 |
| Early online date | 8 Jan 2021 |
| Publication status | Published - 15 Apr 2021 |
Abstract
We present a nonlinear Kirchhoff–Love micro-shell element based on isogeometric analysis (IGA) and couple stress theory. Higher-order NURBS functions are exploited for analyzing the strain gradient effect which automatically fulfill the higher-order continuity requirements. We express the strain gradient elastic formulation in natural curvilinear coordinates, which leads to an efficient numerical tool to examine geometric nonlinearities of thin micro-shell structures. The presented IGA formulation is verified through comparisons to analytical solution, experimental data as well as other popular benchmark problems of nonlinear geometric shells. We believe that the presented formulation is particularly suitable for analyzing two-dimensional materials at larger length scales, which are commonly studied at nanoscale.
Keywords
- Couple stress gradient, Isogeometric analysis, Kirchhoff–Love shell element, Nonlinear geometric shell, Strain gradient
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: International Journal of Mechanical Sciences, Vol. 196, 106272, 15.04.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A nonlinear geometric couple stress based strain gradient Kirchhoff–Love shell formulation for microscale thin-wall structures
AU - Thai, Tran Quoc
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding Information: The authors Tran Quoc Thai and Xiaoying Zhuang would like to acknowledge the financial support from the Sofja Kovalevskaja Prize of the Alexander von Humboldt Foundation (Germany). The authors would like to thank the anonymous reviewers for their valuable comments that help to improve our manuscript.
PY - 2021/4/15
Y1 - 2021/4/15
N2 - We present a nonlinear Kirchhoff–Love micro-shell element based on isogeometric analysis (IGA) and couple stress theory. Higher-order NURBS functions are exploited for analyzing the strain gradient effect which automatically fulfill the higher-order continuity requirements. We express the strain gradient elastic formulation in natural curvilinear coordinates, which leads to an efficient numerical tool to examine geometric nonlinearities of thin micro-shell structures. The presented IGA formulation is verified through comparisons to analytical solution, experimental data as well as other popular benchmark problems of nonlinear geometric shells. We believe that the presented formulation is particularly suitable for analyzing two-dimensional materials at larger length scales, which are commonly studied at nanoscale.
AB - We present a nonlinear Kirchhoff–Love micro-shell element based on isogeometric analysis (IGA) and couple stress theory. Higher-order NURBS functions are exploited for analyzing the strain gradient effect which automatically fulfill the higher-order continuity requirements. We express the strain gradient elastic formulation in natural curvilinear coordinates, which leads to an efficient numerical tool to examine geometric nonlinearities of thin micro-shell structures. The presented IGA formulation is verified through comparisons to analytical solution, experimental data as well as other popular benchmark problems of nonlinear geometric shells. We believe that the presented formulation is particularly suitable for analyzing two-dimensional materials at larger length scales, which are commonly studied at nanoscale.
KW - Couple stress gradient
KW - Isogeometric analysis
KW - Kirchhoff–Love shell element
KW - Nonlinear geometric shell
KW - Strain gradient
UR - http://www.scopus.com/inward/record.url?scp=85100005667&partnerID=8YFLogxK
U2 - 10.1016/j.ijmecsci.2021.106272
DO - 10.1016/j.ijmecsci.2021.106272
M3 - Article
AN - SCOPUS:85100005667
VL - 196
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
SN - 0020-7403
M1 - 106272
ER -