Response of a thin coating of a porous elastic material whose generalised Young’s modulus depends on the density

Erbaş, Barış; Itskov, Mikhail; Kaplunov, Julius; Rajagopal, Kumbakonam R

Abstract

Mechanics of a thin elastic coating is analysed using nonlinear constitutive relations based on the concept of a density-dependent Young’s modulus. In contrast to previous considerations on the subject, the proposed framework does not assume weak nonlinearity. Two-term asymptotic expansions are derived for four setups of boundary conditions along the upper face of the coating; in doing so, the lower face is supposed to be clamped. Explicit approximate formulae obtained in the paper have the potential to be implemented in diverse industrial applications related to thin porous coatings.

Citation

Erbaş, B., Itskov, M., Kaplunov, J., & Rajagopal, K. R. (in press). Response of a thin coating of a porous elastic material whose generalised Young’s modulus depends on the density. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865241286482

• Journal Article Type: Article
• Acceptance Date: Sep 9, 2024
• Online Publication Date: Nov 7, 2024
• Deposit Date: Nov 20, 2024
• Journal: Mathematics and Mechanics of Solids
• Print ISSN: 1081-2865
• Electronic ISSN: 1741-3028
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1177/10812865241286482
• Keywords: Thin coating, density-dependent Young’s modulus, porous, nonlinearity, asymptotic
• Public URL: https://keele-repository.worktribe.com/output/979656
• Publisher URL: https://journals.sagepub.com/doi/10.1177/10812865241286482