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.

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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
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article

Odd elasticity of cylindrical shells and Kirchhoff–Love plates under classic continuum theory

Martin Ostoja‐Starzewski, Zachary Wolfgram
3 citations
Journal of the Mechanics and Physics of Solids
Elasticity and Wave Propagation
2.59
article

Odd elasticity of cylindrical shells and Kirchhoff–Love plates under classic continuum theory

Martin Ostoja‐Starzewski, Zachary Wolfgram
article en
3 citations

Abstract

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.

Journal of the Mechanics and Physics of SolidsVol. 200
University of Illinois Urbana-Champaign (US)
Openalex Percentile: Top 12%
Elasticity and Wave Propagation
2.59
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Odd elasticity of cylindrical shells and Kirchhoff–Love plates under classic continuum theory — Martin Ostoja‐Starzewski, Zachary Wolfgram · Journal of the Mechanics and Physics of Solids (2025) | TGRS Research Map | TGRS