On the accretion of inhomogeneous viscoelastic bodies under finite deformations
type: Item
instance of: scholarly article
title: On the accretion of inhomogeneous viscoelastic bodies under finite deformations
zbMATH Open document ID: 0604.73042
DOI: 10.1016/0021-8928(85)90056-5
author: V. V. Metlov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: A formulation is given for the problem of the state of stress and strain of a continuously accreting body under finite deformations. The concept of a deformation gradient in an accreting body taking the deformation prehistory of the attached elements into account, is introduced. Boundary conditions are considered on the growth surface, which differ from the usual conditions in stresses or displacements. A solution is obtained for problems on the accretion of an inhomogeneous viscoelastic cylinder subjected to the preliminary deformation of the attached elements, to twisting, streching, and imprinting loads, as well as on the simultaneous accretion and removal of a hollow sphere. Results of computations for the problem of winding a viscoelastic inhomogeneous cylinder with tension are presented.
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3976498
zbMATH Keywords: state of stress and strain
zbMATH Keywords: continuously accreting body
zbMATH Keywords: inhomogeneous viscoelastic cylinder
zbMATH Keywords: preliminary deformation of the attached elements
zbMATH Keywords: twisting
zbMATH Keywords: streching
zbMATH Keywords: imprinting loads
zbMATH Keywords: winding
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90056-5
OpenAlex ID: W1978718232
cites work: Q4110663
cites work: Q3335090
cites work: Q5818478
cites work: Q3960234
cites work: Q4743816
cites work: Q3694788
cites work: Q3723801
description: scientific article; zbMATH DE number 3976498