A viscoelastic Rivlin-Ericksen material model applicable to glacier ice
We present a viscoelastic constitutive relation which describes transient creep of a modified second grade fluid enhanced with elastic properties of a solid. The material law describes a Rivlin-Ericksen material and is a generalization of existing material laws applied to study the viscoelastic...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2010-12-01
|
| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/17/673/2010/npg-17-673-2010.pdf |
| _version_ | 1818934351388213248 |
|---|---|
| author | P. Riesen K. Hutter M. Funk |
| author_facet | P. Riesen K. Hutter M. Funk |
| author_sort | P. Riesen |
| collection | DOAJ |
| description | We present a viscoelastic constitutive relation which describes transient creep of a modified second grade fluid enhanced with elastic properties of a solid. The material law describes a Rivlin-Ericksen material and is a generalization of existing material laws applied to study the viscoelastic properties of ice. The intention is to provide a formulation tailored to reproduce the viscoelastic behaviour of ice ranging from the instantaneous elastic response, to recoverable deformation, to viscous, stationary flow at the characteristic minimum creep rate associated with the deformation of polycrystalline ice. We numerically solve the problem of a slab of material shearing down a uniformly inclined plate. The equations are made dimensionless in a form in which elastic effects and/or the influence of higher order terms (i.e., strain accelerations) can be compared with viscous creep at the minimum creep rate by means of two dimensionless parameters. We discuss the resulting material behaviour and the features exhibited at different parameter combinations. Also, a viable range of the non-dimensional parameters is estimated in the scale analysis. |
| first_indexed | 2024-12-20T05:02:54Z |
| format | Article |
| id | doaj.art-35a756bbb09c467db82a16fc86a0f1aa |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-12-20T05:02:54Z |
| publishDate | 2010-12-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-35a756bbb09c467db82a16fc86a0f1aa2022-12-21T19:52:29ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462010-12-0117667368410.5194/npg-17-673-2010A viscoelastic Rivlin-Ericksen material model applicable to glacier iceP. RiesenK. HutterM. FunkWe present a viscoelastic constitutive relation which describes transient creep of a modified second grade fluid enhanced with elastic properties of a solid. The material law describes a Rivlin-Ericksen material and is a generalization of existing material laws applied to study the viscoelastic properties of ice. The intention is to provide a formulation tailored to reproduce the viscoelastic behaviour of ice ranging from the instantaneous elastic response, to recoverable deformation, to viscous, stationary flow at the characteristic minimum creep rate associated with the deformation of polycrystalline ice. We numerically solve the problem of a slab of material shearing down a uniformly inclined plate. The equations are made dimensionless in a form in which elastic effects and/or the influence of higher order terms (i.e., strain accelerations) can be compared with viscous creep at the minimum creep rate by means of two dimensionless parameters. We discuss the resulting material behaviour and the features exhibited at different parameter combinations. Also, a viable range of the non-dimensional parameters is estimated in the scale analysis.http://www.nonlin-processes-geophys.net/17/673/2010/npg-17-673-2010.pdf |
| spellingShingle | P. Riesen K. Hutter M. Funk A viscoelastic Rivlin-Ericksen material model applicable to glacier ice Nonlinear Processes in Geophysics |
| title | A viscoelastic Rivlin-Ericksen material model applicable to glacier ice |
| title_full | A viscoelastic Rivlin-Ericksen material model applicable to glacier ice |
| title_fullStr | A viscoelastic Rivlin-Ericksen material model applicable to glacier ice |
| title_full_unstemmed | A viscoelastic Rivlin-Ericksen material model applicable to glacier ice |
| title_short | A viscoelastic Rivlin-Ericksen material model applicable to glacier ice |
| title_sort | viscoelastic rivlin ericksen material model applicable to glacier ice |
| url | http://www.nonlin-processes-geophys.net/17/673/2010/npg-17-673-2010.pdf |
| work_keys_str_mv | AT priesen aviscoelasticrivlinericksenmaterialmodelapplicabletoglacierice AT khutter aviscoelasticrivlinericksenmaterialmodelapplicabletoglacierice AT mfunk aviscoelasticrivlinericksenmaterialmodelapplicabletoglacierice AT priesen viscoelasticrivlinericksenmaterialmodelapplicabletoglacierice AT khutter viscoelasticrivlinericksenmaterialmodelapplicabletoglacierice AT mfunk viscoelasticrivlinericksenmaterialmodelapplicabletoglacierice |