Behaviour of viscoelastic-viscoplastic spheres and cylinders - Fully plastic vessel walls
type: Item
instance of: scholarly article
title: Behaviour of viscoelastic-viscoplastic spheres and cylinders - Fully plastic vessel walls
zbMATH Open document ID: 0571.73068
DOI: 10.1016/0020-7683(85)90015-0
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: The material model consists of a viscoelastic Burgers element and an additional viscoplastic Bingham element when the effective stress exceeds the yield stress. For fully plastic vessel walls, exact closed-form expressions are derived for the stress and strain state in pressurised or relaxation loaded thick-walled cylinders in plane strain and spheres. For the spherical problem, the material compressibility is accounted for. The influence of the different material parameters on the behaviour of the vessels is evaluated. It is shown that the magnitude of the Maxwell viscosity is of major importance for the long-term behaviour of thick- walled fully plastic vessels.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74Hxx
zbMATH DE Number: 3911863
zbMATH Keywords: viscoelastic Burgers element
zbMATH Keywords: additional viscoplastic Bingham element
zbMATH Keywords: effective stress exceeds the yield stress
zbMATH Keywords: exact closed-form expressions
zbMATH Keywords: stress and strain state
zbMATH Keywords: pressurised or relaxation loaded thick-walled cylinders
zbMATH Keywords: plane strain
zbMATH Keywords: spheres
zbMATH Keywords: material compressibility
zbMATH Keywords: influence of the different material parameters
zbMATH Keywords: magnitude of the Maxwell viscosity
zbMATH Keywords: long-term behaviour
zbMATH Keywords: thick-walled fully plastic vessels
author: Niels Saabye Ottosen
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90015-0
OpenAlex ID: W2145146835
description: scientific article; zbMATH DE number 3911863