Finite three-point bending of a fiber-reinforced beam with a step
type: Item
instance of: scholarly article
title: Finite three-point bending of a fiber-reinforced beam with a step
zbMATH Open document ID: 0588.73077
DOI: 10.1007/BF01176364
author: M. Kurashige
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: Using the theory of ideal fiber-reinforced composite materials, an equilibrium solution was obtained for the finite three-point bending of a beam which has a central step on its bottom surface. The beam is axially reinforced by fibers and simply supported by fixed roller fulcrums. It was found that the exact solution reached by the rule of trial and error is statically and kinematically admissible only for a linear elastic (or quasielastic) shear response. The equilibrium condition of the portion of the beam corresponding to the step edge is reduced to a Fredholm type integral equation of the second kind with respect to the curvature radius of the uppermost fiber.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3945482
zbMATH Keywords: theory of ideal fiber-reinforced composite materials
zbMATH Keywords: equilibrium solution
zbMATH Keywords: finite three-point bending
zbMATH Keywords: central step
zbMATH Keywords: bottom surface
zbMATH Keywords: axially reinforced
zbMATH Keywords: simply supported
zbMATH Keywords: fixed roller fulcrums
zbMATH Keywords: exact solution
zbMATH Keywords: rule of trial and error
zbMATH Keywords: equilibrium condition
zbMATH Keywords: Fredholm type integral equation of the second kind
MaRDI profile type: Publication
cites work: Plane Deformations of Incompressible Fiber-Reinforced Materials
cites work: FINITE LATERAL COMPRESSION OF A FIBRE-REINFORCED TUBE
cites work: Finite buckling of fiber-reinforced columns
cites work: Energy changes in ideal fiber-reinforced composites
cites work: Generalized plane deformations of ideal fiber-reinforced materials
full work available at URL: https://doi.org/10.1007/bf01176364
OpenAlex ID: W2046608787
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description: scientific article; zbMATH DE number 3945482