Asymptotic method of homogenization of fissured elastic plates
type: Item
instance of: scholarly article
title: Asymptotic method of homogenization of fissured elastic plates
zbMATH Open document ID: 0627.73009
DOI: 10.1007/BF00041694
published in: Journal of Elasticity
publication date: 1988-01-01T00:00:00Z
review text: This paper deals with the homogenization of thin elastic plates weakened by periodically distributed fissures. The classical Kirchhoff theory of bending plates admits five different types of unilateral fissures. To derive effective properties of fissured plates we employ the asymptotic method. As a result we obtain five effective hyperelastic plates. An illustrative example concerns the homogenization of the plate with unidirectional fissures parallel to a straigt line. The constitutive equation describing the effective plate is found provided that fissures are of the flexural type resembling that observed in reinforced concrete plates in bending.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4020551
zbMATH Keywords: unilateral bending
zbMATH Keywords: homogenization
zbMATH Keywords: thin elastic plates
zbMATH Keywords: periodically distributed fissures
zbMATH Keywords: classical Kirchhoff theory
zbMATH Keywords: asymptotic method
zbMATH Keywords: five effective hyperelastic plates
zbMATH Keywords: constitutive equation
author: T. Lewiński
author: J. J. Telega
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00041694
OpenAlex ID: W2068851568
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description: scientific article; zbMATH DE number 4020551