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: | , , |
|---|---|
| Other Authors: | |
| Format: | Journal article |
| Language: | English |
| Published: |
Thomas Telford Ltd.
2005
|
| Subjects: |
| _version_ | 1826293475524476928 |
|---|---|
| author | Houlsby, G Amorosi, A Rojas, E |
| author2 | Institution of Civil Engineers |
| author_facet | Institution of Civil Engineers 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 | 2024-03-07T03:30:40Z |
| format | Journal article |
| id | oxford-uuid:ba9bd7c2-886e-4e04-a102-f616eb7aeb73 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:30:40Z |
| publishDate | 2005 |
| publisher | Thomas Telford Ltd. |
| record_format | dspace |
| spelling | oxford-uuid:ba9bd7c2-886e-4e04-a102-f616eb7aeb732022-03-27T05:11:00ZElastic moduli of soils dependent on pressure: a hyperelastic formulationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ba9bd7c2-886e-4e04-a102-f616eb7aeb73Civil engineeringEngineering & allied sciencesEnglishOxford University Research Archive - ValetThomas Telford Ltd.2005Houlsby, GAmorosi, ARojas, EInstitution of Civil EngineersThe 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 | Civil engineering Engineering & allied sciences 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 |
| topic | Civil engineering Engineering & allied sciences |
| work_keys_str_mv | AT houlsbyg elasticmoduliofsoilsdependentonpressureahyperelasticformulation AT amorosia elasticmoduliofsoilsdependentonpressureahyperelasticformulation AT rojase elasticmoduliofsoilsdependentonpressureahyperelasticformulation |