Mathematical modelling of elastoplasticity at high stress
This study describes a simple mathematical model for one-dimensional elastoplastic wave propagation in a metal in the regime where the applied stress greatly exceeds the yield stress. Attention is focused on the increasing ductility that occurs in the overdriven limit when the plastic wave speed app...
| Prif Awduron: | , , |
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| Fformat: | Journal article |
| Iaith: | English |
| Cyhoeddwyd: |
2012
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| _version_ | 1826291949614661632 |
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| author | Howell, P Ockendon, H Ockendon, JR |
| author_facet | Howell, P Ockendon, H Ockendon, JR |
| author_sort | Howell, P |
| collection | OXFORD |
| description | This study describes a simple mathematical model for one-dimensional elastoplastic wave propagation in a metal in the regime where the applied stress greatly exceeds the yield stress. Attention is focused on the increasing ductility that occurs in the overdriven limit when the plastic wave speed approaches the elastic wave speed. Our model predicts that a plastic compression wave is unable to travel faster than the elastic wave speed, and instead splits into a compressive elastoplastic shock followed by a plastic expansion wave. © 2012 The Royal Society. |
| first_indexed | 2024-03-07T03:07:11Z |
| format | Journal article |
| id | oxford-uuid:b2f41016-aab5-435f-bc5e-36e14b761db1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:07:11Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:b2f41016-aab5-435f-bc5e-36e14b761db12022-03-27T04:15:23ZMathematical modelling of elastoplasticity at high stressJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b2f41016-aab5-435f-bc5e-36e14b761db1EnglishSymplectic Elements at Oxford2012Howell, POckendon, HOckendon, JRThis study describes a simple mathematical model for one-dimensional elastoplastic wave propagation in a metal in the regime where the applied stress greatly exceeds the yield stress. Attention is focused on the increasing ductility that occurs in the overdriven limit when the plastic wave speed approaches the elastic wave speed. Our model predicts that a plastic compression wave is unable to travel faster than the elastic wave speed, and instead splits into a compressive elastoplastic shock followed by a plastic expansion wave. © 2012 The Royal Society. |
| spellingShingle | Howell, P Ockendon, H Ockendon, JR Mathematical modelling of elastoplasticity at high stress |
| title | Mathematical modelling of elastoplasticity at high stress |
| title_full | Mathematical modelling of elastoplasticity at high stress |
| title_fullStr | Mathematical modelling of elastoplasticity at high stress |
| title_full_unstemmed | Mathematical modelling of elastoplasticity at high stress |
| title_short | Mathematical modelling of elastoplasticity at high stress |
| title_sort | mathematical modelling of elastoplasticity at high stress |
| work_keys_str_mv | AT howellp mathematicalmodellingofelastoplasticityathighstress AT ockendonh mathematicalmodellingofelastoplasticityathighstress AT ockendonjr mathematicalmodellingofelastoplasticityathighstress |