Von Kármán theories for thin elastic shells subject to pressure

@misc{giang2026kármán,
  title = {{Von Kármán theories for thin elastic shells subject to pressure}},
  author = {Trung Hieu Giang and Filippo Riva},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06048},
  eprint = {2610.06048},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06048},
}

TY  - UNPB
TI  - Von Kármán theories for thin elastic shells subject to pressure
AU  - Trung Hieu Giang
AU  - Filippo Riva
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06048
UR  - https://arxiv.org/abs/2610.06048
AB  - The variational derivation of two-dimensional von Kármán shell energies from three-dimensional nonlinear elasticity is investigated in the presence of constant pressure loads. On the one hand, the paper extends the existing analysis of pressure-loaded plates to the curved setting of shells. On the other hand, it complements the classical variational derivation of shell theories by incorporating a nonlinear pressure force.
ER  -