Odd elasticity of cylindrical shells and Kirchhoff–Love plates under classic continuum theory
Odd elastic behavior is investigated in 2d structures with only the odd elastic parameter K 0 under classic continuum theory. For the Kirchhoff–Love plate with a constant K 0 , the displacement formulation is independent of the odd parameter, whereas the moment formulation shows dependence. A simply-supported plate under a uniformly distributed load and center point load is investigated using the displacement formulation to determine non-obvious moment fields. A general overview of cylindrical shells with odd elasticity is presented with the approach for the Donnell, Sander, and Flügge models. • Stress and displacement field equations are found for odd pure bending plates. • Non-obvious moment fields are found using elastostatic displacement solutions. • A framework is shown for odd elastic cylindrical shells using multiple models.
Authors
- Martin Ostoja‐Starzewski (ORCID: https://orcid.org/0000-0002-3493-363X)
- Zachary Wolfgram (ORCID: https://orcid.org/0009-0001-3392-1493)
Institutions
- University of Illinois Urbana-Champaign (US)
Publication Details
- Journal
- Journal of the Mechanics and Physics of Solids
- Published
- 2025-03-27
- DOI
- https://doi.org/10.1016/j.jmps.2025.106119
- Citations
- 3
- Primary Topic
- Elasticity and Wave Propagation
- Type
- article
- Field-Weighted Citation Impact
- 2.59