Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate: An asymptotic modeling approach
2022 (English)In: Applied Mathematical Modelling, ISSN 0307-904X, E-ISSN 1872-8480, Vol. 108, p. 294-307Article in journal (Refereed) Published
Abstract [en]
The problem of contact deformation of an elastic body loaded by gravitational forces and laying on several small rigid supports is considered in the framework of the linear theory of elasticity. Using the method of matched asymptotic expansions, the limit asymptotic model for determining the support reactions and the kinematic parameters of the body settling is derived. The effect of the body surface reinforcement is discussed. The case of a uniform (symmetric) settling is considered in detail.
Place, publisher, year, edition, pages
Elsevier, 2022. Vol. 108, p. 294-307
Keywords [en]
Asymptotic model, Biological metamaterial, Gravitational settling, Multiple contacts, Nanostructured substrate, Unilateral contact, Aspect ratio, Gravitation, Metamaterials, Nanostructured materials, Asymptotic modeling, Contact deformation, Elastic body, Gravitational settlings, High aspect ratio, Modeling approach, Nanostructured substrates, Elasticity
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering Mathematical Analysis
Identifiers
URN: urn:nbn:se:mau:diva-53251DOI: 10.1016/j.apm.2022.03.041ISI: 000830573400005Scopus ID: 2-s2.0-85127879248OAI: oai:DiVA.org:mau-53251DiVA, id: diva2:1674151
2022-06-212022-06-212022-08-22Bibliographically approved