A nonlinear geometric couple stress based strain gradient Kirchhoff–Love shell formulation for microscale thin-wall structures
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.
Details
- Organisation(s)
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Institute of Photonics
- External Organisation(s)
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Tongji University
Ton Duc Thang University
- Type
- Article
- Journal
- International Journal of Mechanical Sciences
- Volume
- 196
- ISSN
- 0020-7403
- Publication date
- 15.04.2021
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Civil and Structural Engineering, General Materials Science, Condensed Matter Physics, Mechanics of Materials, Mechanical Engineering
- Electronic version(s)
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https://doi.org/10.1016/j.ijmecsci.2021.106272 (Access:
Closed
)
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Details in the research portal "Research@Leibniz University"
