Advanced

Viscoelastic-Viscoplastic Formulas for Analysis of Cavities in Rock Salt

Ottosen, Niels Saabye LU (1986) In Int. Journal of Rock Mechanics & Mining sciences 23(3). p.201-212
Abstract
The material model consists of a viscoelastic Burgers element and an additional viscoplastic element, which includes Bingham viscosity and a viscoplastic Kelvin element. For spherical and cylindrical cavities, expressions are derived for the stress and strain fields and volume convergence. Spherical and cylindrical cavities are treated in a unified formulation. The expressions for the transient phase require a numerical approach. A simple numerical scheme is proposed which solves these expressions efficiently. For constant pressurization stationary stresses, strain rates and convergence rate will eventually arise. Exact, closed-form solutions are derived for these quantities. The magnitude of the Maxwell viscosity is of vital importance... (More)
The material model consists of a viscoelastic Burgers element and an additional viscoplastic element, which includes Bingham viscosity and a viscoplastic Kelvin element. For spherical and cylindrical cavities, expressions are derived for the stress and strain fields and volume convergence. Spherical and cylindrical cavities are treated in a unified formulation. The expressions for the transient phase require a numerical approach. A simple numerical scheme is proposed which solves these expressions efficiently. For constant pressurization stationary stresses, strain rates and convergence rate will eventually arise. Exact, closed-form solutions are derived for these quantities. The magnitude of the Maxwell viscosity is of vital importance for the stationary state. The material model compares favourably with experimental creep data. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Int. Journal of Rock Mechanics & Mining sciences
volume
23
issue
3
pages
201 - 212
external identifiers
  • Scopus:0022736086
DOI
10.1016/0148-9062(86)90966-6
language
English
LU publication?
yes
id
f920807a-2506-44e5-bd13-c20d9a33ad99 (old id 1370207)
date added to LUP
2010-09-18 10:45:57
date last changed
2016-04-16 10:46:08
@misc{f920807a-2506-44e5-bd13-c20d9a33ad99,
  abstract     = {The material model consists of a viscoelastic Burgers element and an additional viscoplastic element, which includes Bingham viscosity and a viscoplastic Kelvin element. For spherical and cylindrical cavities, expressions are derived for the stress and strain fields and volume convergence. Spherical and cylindrical cavities are treated in a unified formulation. The expressions for the transient phase require a numerical approach. A simple numerical scheme is proposed which solves these expressions efficiently. For constant pressurization stationary stresses, strain rates and convergence rate will eventually arise. Exact, closed-form solutions are derived for these quantities. The magnitude of the Maxwell viscosity is of vital importance for the stationary state. The material model compares favourably with experimental creep data.},
  author       = {Ottosen, Niels Saabye},
  language     = {eng},
  number       = {3},
  pages        = {201--212},
  series       = {Int. Journal of Rock Mechanics & Mining sciences},
  title        = {Viscoelastic-Viscoplastic Formulas for Analysis of Cavities in Rock Salt},
  url          = {http://dx.doi.org/10.1016/0148-9062(86)90966-6},
  volume       = {23},
  year         = {1986},
}