Asymptotically consistent size-dependent plate models based on the couple-stress theory with micro-inertia
type: Item
instance of: scholarly article
title: Asymptotically consistent size-dependent plate models based on the couple-stress theory with micro-inertia
zbMATH Open document ID: 1477.74067
author: Andrea Nobili
published in: European Journal of Mechanics. A. Solids
publication date: 2021-08-27T00:00:00Z
full work available at URL: http://hdl.handle.net/11380/1257772
review text: In this paper, the method of asymptotic reduction generates new models for elongation and flexural deformation of micro-structured plates on the base of the couple-stress linear theory of elasticity with micro-inertia. The novel size-dependent plate model is developed by asymptotic reduction for the elastodynamics of a thin strip of couple stress elastic isotropic material with micro-inertia. Asymptotic reduction is a technique by which dimensional-reduced models are built which preserve the fundamental dispersion feature of the original 3D body. The constructed models reproduce the dispersion features of the fundamental mode of the 3D body. The degree of approximation for such models can be refined. The proposed models are useful for modelling of micro and nano-systems.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74H10
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 7387238
zbMATH Keywords: asymptotic reduction
zbMATH Keywords: size-dependent plate model
zbMATH Keywords: micro-inertia
zbMATH Keywords: couple-stress elasticity theory
zbMATH Keywords: Rayleigh-Lamb wave
reviewed by: V. L. Leontiev
MaRDI profile type: Publication
OpenAlex ID: W3159956820
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DOI: 10.1016/J.EUROMECHSOL.2021.104316
description: scientific article; zbMATH DE number 7387238