Structural mechanics and materials

Size dependency of Castlegate and Berea sandstone hollow-cylinder strength on the basis of bifurcation theory

E. Päpamichos, P. J. van den Hoek

Feb 18, 2026 | 42 citations

Abstract

Abstract

A theoretical analysis of hollow-cylinder stability on the basis of the bifurcation theory is presented and the predicted scale effect with respect to the hollow cylinder inner-hole diameter is compared with experimental data of initial failure of Berea and Castlegate sandstone hollow cylinders. The two-dimensional analysis employs a Cosserat-Mohr-Coulomb flow theory of elastoplasticity model with friction hardening/cohesion softening calibrated on conventional triaxial compression test data for the two sandstones. The sensitivity of the stability predictions is evaluated by considering: (a) variations in the rate of cohesion softening, (b) two hollow cylinder outer-to-inner diameter ratios, and (c) loading configuration effects, that is external radial stress increase versus internal radial stress decrease under constant external radial stress.

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E. Päpamichos

first | ORCID 0000-0002-9322-9730

P. J. van den Hoek

last | Shell (Netherlands)

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@article{Ppamichos2026Size,
  title = {Size dependency of Castlegate and Berea sandstone hollow-cylinder strength on the basis of bifurcation theory},
  author = {E. Päpamichos and P. J. van den Hoek},
  year = {2026},
  doi = {10.1201/9781003761365-52},
  url = {https://doi.org/10.1201/9781003761365-52}
}

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