Dissipative solitary waves in granular crystals.
We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative t...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2009
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| _version_ | 1797100040847622144 |
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| author | Carretero-González, R Khatri, D Porter, M Kevrekidis, P Daraio, C |
| author_facet | Carretero-González, R Khatri, D Porter, M Kevrekidis, P Daraio, C |
| author_sort | Carretero-González, R |
| collection | OXFORD |
| description | We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a common dissipation exponent with a material-dependent prefactor. |
| first_indexed | 2024-03-07T05:32:07Z |
| format | Journal article |
| id | oxford-uuid:e29e8056-914c-4e84-80cb-b7600472c5b3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:32:07Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:e29e8056-914c-4e84-80cb-b7600472c5b32022-03-27T10:02:47ZDissipative solitary waves in granular crystals.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e29e8056-914c-4e84-80cb-b7600472c5b3EnglishSymplectic Elements at Oxford2009Carretero-González, RKhatri, DPorter, MKevrekidis, PDaraio, CWe provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a common dissipation exponent with a material-dependent prefactor. |
| spellingShingle | Carretero-González, R Khatri, D Porter, M Kevrekidis, P Daraio, C Dissipative solitary waves in granular crystals. |
| title | Dissipative solitary waves in granular crystals. |
| title_full | Dissipative solitary waves in granular crystals. |
| title_fullStr | Dissipative solitary waves in granular crystals. |
| title_full_unstemmed | Dissipative solitary waves in granular crystals. |
| title_short | Dissipative solitary waves in granular crystals. |
| title_sort | dissipative solitary waves in granular crystals |
| work_keys_str_mv | AT carreterogonzalezr dissipativesolitarywavesingranularcrystals AT khatrid dissipativesolitarywavesingranularcrystals AT porterm dissipativesolitarywavesingranularcrystals AT kevrekidisp dissipativesolitarywavesingranularcrystals AT daraioc dissipativesolitarywavesingranularcrystals |