Elastic moduli of soils dependent on pressure: a hyperelastic formulation
The elastic behaviour of granular materials is non-linear, in that the small-strain tangent stiffness depends on the stress level. The elastic moduli typically vary as power functions of the mean stress. Simple models of this non-linearity can result in behaviour that violates the laws of thermodyna...
| Main Authors: | , , |
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| Format: | Journal article |
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2005
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| _version_ | 1826288133351669760 |
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| author | Houlsby, G Amorosi, A Rojas, E |
| author_facet | Houlsby, G Amorosi, A Rojas, E |
| author_sort | Houlsby, G |
| collection | OXFORD |
| description | The elastic behaviour of granular materials is non-linear, in that the small-strain tangent stiffness depends on the stress level. The elastic moduli typically vary as power functions of the mean stress. Simple models of this non-linearity can result in behaviour that violates the laws of thermodynamics. To guarantee that an elasticity model is thermodynamically acceptable it must be possible to derive the elastic behaviour from a free energy potential (or alternatively from a complementary energy potential). In this paper elasticity models are derived that allow for variation of elastic moduli as power functions of mean stress, while guaranteeing thermodynamic acceptability. The important issue of the dependence of secant stiffness on strain amplitude (a phenomenon related to dissipation processes in the soil) is acknowledged but not addressed here. |
| first_indexed | 2024-03-07T02:09:07Z |
| format | Journal article |
| id | oxford-uuid:9ffe8da8-da16-41d2-ae57-462001c39113 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:09:07Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:9ffe8da8-da16-41d2-ae57-462001c391132022-03-27T02:02:07ZElastic moduli of soils dependent on pressure: a hyperelastic formulationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9ffe8da8-da16-41d2-ae57-462001c39113Symplectic Elements at Oxford2005Houlsby, GAmorosi, ARojas, EThe elastic behaviour of granular materials is non-linear, in that the small-strain tangent stiffness depends on the stress level. The elastic moduli typically vary as power functions of the mean stress. Simple models of this non-linearity can result in behaviour that violates the laws of thermodynamics. To guarantee that an elasticity model is thermodynamically acceptable it must be possible to derive the elastic behaviour from a free energy potential (or alternatively from a complementary energy potential). In this paper elasticity models are derived that allow for variation of elastic moduli as power functions of mean stress, while guaranteeing thermodynamic acceptability. The important issue of the dependence of secant stiffness on strain amplitude (a phenomenon related to dissipation processes in the soil) is acknowledged but not addressed here. |
| spellingShingle | Houlsby, G Amorosi, A Rojas, E Elastic moduli of soils dependent on pressure: a hyperelastic formulation |
| title | Elastic moduli of soils dependent on pressure: a hyperelastic formulation |
| title_full | Elastic moduli of soils dependent on pressure: a hyperelastic formulation |
| title_fullStr | Elastic moduli of soils dependent on pressure: a hyperelastic formulation |
| title_full_unstemmed | Elastic moduli of soils dependent on pressure: a hyperelastic formulation |
| title_short | Elastic moduli of soils dependent on pressure: a hyperelastic formulation |
| title_sort | elastic moduli of soils dependent on pressure a hyperelastic formulation |
| work_keys_str_mv | AT houlsbyg elasticmoduliofsoilsdependentonpressureahyperelasticformulation AT amorosia elasticmoduliofsoilsdependentonpressureahyperelasticformulation AT rojase elasticmoduliofsoilsdependentonpressureahyperelasticformulation |