About this Abstract |
| Meeting |
2026 TMS Annual Meeting & Exhibition
|
| Symposium
|
Fracture and Deformation Across Length Scales: Celebrating the Legacy of William Gerberich
|
| Presentation Title |
The Stochastic Buckling of Geometrically-Imperfect Hemispherical Shells Exhibits a Similar Size Effect as the Strength of Brittle Solids |
| Author(s) |
Roberto Ballarini, Zheren Baizhikova, Jia-Liang Le |
| On-Site Speaker (Planned) |
Roberto Ballarini |
| Abstract Scope |
Thin-walled shells are widely because of their excellent strength-to-weight ratio, but their structural stability can be compromised by randomly-distributed geometric imperfections. Such imperfections can drastically reduce the load required to buckle shells of perfect geometry. This study examines the statistical distribution of the buckling resistance of imperfect hemispherical shells with radius R and thickness t, focusing on how R/t together with the normalized correlation length of the random field representing the imperfection surface influence its mean and variability. The results uncover a “statistical size effect” and establish that R/t plays a previously unknown dual role, affecting both the deterministic features of local nonlinear deformation and the stochastic characteristics of buckling resistance. It is not surprising that equation derived for the effect of size on buckling resistance has the same form as a previously derived size effect equation for the strength of solids containing a random distribution if microcracks. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Computational Materials Science & Engineering, Modeling and Simulation, Other |