Viscoelastic-Viscoplastic Formulas for Analysis of Cavities in Rock Salt
(1986) In International Journal of Rock Mechanics and 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:
https://lup.lub.lu.se/record/1370207
- author
- Ottosen, Niels Saabye LU
- organization
- publishing date
- 1986
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Journal of Rock Mechanics and Mining Sciences
- volume
- 23
- issue
- 3
- pages
- 201 - 212
- publisher
- Elsevier
- external identifiers
-
- scopus:0022736086
- ISSN
- 1873-4545
- 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
- 2016-04-04 13:02:40
- date last changed
- 2023-08-29 11:52:39
@article{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}}, issn = {{1873-4545}}, language = {{eng}}, number = {{3}}, pages = {{201--212}}, publisher = {{Elsevier}}, series = {{International Journal of Rock Mechanics and 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}}, doi = {{10.1016/0148-9062(86)90966-6}}, volume = {{23}}, year = {{1986}}, }