Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus

Erbaş, Barış; Kaplunov, Julius; Rajagopal, Kumbakonam R.

Abstract

The equilibrium equation governing the plane strain static problem for a thin elastic layer is studied using asymptotic analysis for a material with generalized Young’s modulus weakly dependent on the mass density. Within the context of the adopted scaling, the effect of a physical nonlinearity arises at the second order along with shear deformation and other linear phenomena. Refined equations for plate bending and transverse compression are derived. Numerical examples illustrating the role of the corrections due to the considered constitutive behavior are presented.

Citation

Erbaş, B., Kaplunov, J., & Rajagopal, K. R. (2024). Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus. International Journal of Non-Linear Mechanics, 160, Article 104651. https://doi.org/10.1016/j.ijnonlinmec.2024.104651

• Journal Article Type: Article
• Acceptance Date: Jan 25, 2024
• Online Publication Date: Feb 6, 2024
• Publication Date: 2024-04
• Deposit Date: Apr 26, 2024
• Journal: International Journal of Non-Linear Mechanics
• Print ISSN: 0020-7462
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 160
• Article Number: 104651
• DOI: https://doi.org/10.1016/j.ijnonlinmec.2024.104651
• Public URL: https://keele-repository.worktribe.com/output/742254
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0020746224000167?via%3Dihub