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Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models

Publication ,  Journal Article
Wang, H; Guilleminot, J; Schafer, BW; Tootkaboni, M
Published in: Computer Methods in Applied Mechanics and Engineering
April 1, 2022

Buckling of thin-shell structures is one of the most canonical problems in mechanics. In practice, the buckling load and its deviation from theoretical prediction is often handled through the development of knock-down factors in shell structure design. Uncertainty-informed analysis based design is an alternative path that has been aggressively pursued in recent years. In this study, we use a novel representation of the stochastically imperfect shell geometry to investigate the buckling behavior of imperfect cylindrical shells. The representations rest on a non-Gaussian random field model, obtained by translating a latent Gaussian field defined as the solution to a stochastic partial differential equation and allows for the construction of topology-aware spatially correlated imperfections on nonconvex domains. We perform finite element analysis of buckling for imperfect shells and gain new insights into how the interplay between random imperfections and topological features influences buckling behavior.

Duke Scholars

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

April 1, 2022

Volume

393

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Wang, H., Guilleminot, J., Schafer, B. W., & Tootkaboni, M. (2022). Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models. Computer Methods in Applied Mechanics and Engineering, 393. https://doi.org/10.1016/j.cma.2022.114780
Wang, H., J. Guilleminot, B. W. Schafer, and M. Tootkaboni. “Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models.” Computer Methods in Applied Mechanics and Engineering 393 (April 1, 2022). https://doi.org/10.1016/j.cma.2022.114780.
Wang H, Guilleminot J, Schafer BW, Tootkaboni M. Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models. Computer Methods in Applied Mechanics and Engineering. 2022 Apr 1;393.
Wang, H., et al. “Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models.” Computer Methods in Applied Mechanics and Engineering, vol. 393, Apr. 2022. Scopus, doi:10.1016/j.cma.2022.114780.
Wang H, Guilleminot J, Schafer BW, Tootkaboni M. Stochastic analysis of geometrically imperfect thin cylindrical shells using topology-aware uncertainty models. Computer Methods in Applied Mechanics and Engineering. 2022 Apr 1;393.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

April 1, 2022

Volume

393

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences