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This content will become publicly available on November 7, 2025

Title: Response of a thin coating of a porous elastic material whose generalised Young’s modulus depends on the density
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.  more » « less
Award ID(s):
2307563
PAR ID:
10554211
Author(s) / Creator(s):
 ;  ;  ;  
Publisher / Repository:
SAGE Publications
Date Published:
Journal Name:
Mathematics and Mechanics of Solids
ISSN:
1081-2865
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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