☆ 4.4 Article

Equivalent Formulations of Euler-Bernoulli Beam Theory for a Simple Gradient Elasticity Law

JOURNAL OF ENGINEERING MECHANICS (2023)

Related references

Note: Only part of the references are listed.

Article Mechanics

Consistent Euler-Bernoulli beam theories in statics for classical and explicit gradient elasticities

Stergios Alexandros Sideris et al.

Summary: In this paper, the inconsistency in the Euler-Bernoulli beam bending theory is eliminated by postulating the material response as a limiting case of anisotropic elasticity, while the results within the inconsistent isotropic elasticity theory are still valid. Subsequently, the anisotropic elasticity approach is extended to model bending of Euler-Bernoulli beam in explicit gradient elasticity, with emphasis on deriving stress components distributions and discussing limiting responses dependent on a material length parameter inherent in the elasticity law.

COMPOSITE STRUCTURES (2022)

Add to Collection

Correction Engineering, Multidisciplinary