**Conference Paper:**Response of power-law-viscoelastic and time-dependent materials to rate jumps

Title | Response of power-law-viscoelastic and time-dependent materials to rate jumps |
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Authors | Ngan, AHW1 Tang, B1 |

Issue Date | 2009 |

Publisher | Materials Research Society. The Journal's web site is located at http://www.mrs.org/publications/jmr |

Citation | Journal Of Materials Research, 2009, v. 24 n. 3, p. 853-862 [How to Cite?] DOI: http://dx.doi.org/10.1557/jmr.2009.0111 |

Abstract | Nonlinear viscoelastic problems are in general not analytically solvable. However, it is shown here that, for any viscoelastic materials describable by a constitutive law with linear elastic and (in general) nonlinear viscous elements arranged in any network fashion, such as the Maxwell or standard linear solid arrangements, it is always possible to eliminate the viscous terms by replacing the displacement, strain, and stress fields of the problem by the jumps in rates of these fields. After the viscous terms are eliminated, the problem is reduced to a linear elastic problem defined on the same spatial domain and with the same elastic constant as in the original viscoelastic problem. Such a reduced elastic problem is analytically solvable in many practical cases, and the solution yields a relation between jumps in the load rate and the displacement rate, pertinent to the boundary conditions in the original problem. Such a relation can often be used as the basis for an experimental scheme to measure the elastic constants of materials. The material can be time-or strain-dependent, and the value of the elastic constant measured corresponds to the time instant or the strain value when the jump in load or displacement rate is implemented. © 2009 Materials Research Society. |

ISSN | 0884-2914 2012 Impact Factor: 1.713 2012 SCImago Journal Rankings: 0.837 |

DOI | http://dx.doi.org/10.1557/jmr.2009.0111 |

ISI Accession Number ID | WOS:000267208100028 |

References | References in Scopus |

DC Field | Value |
---|---|

dc.contributor.author | Ngan, AHW |

dc.contributor.author | Tang, B |

dc.date.accessioned | 2010-05-31T03:42:17Z |

dc.date.available | 2010-05-31T03:42:17Z |

dc.date.issued | 2009 |

dc.description.abstract | Nonlinear viscoelastic problems are in general not analytically solvable. However, it is shown here that, for any viscoelastic materials describable by a constitutive law with linear elastic and (in general) nonlinear viscous elements arranged in any network fashion, such as the Maxwell or standard linear solid arrangements, it is always possible to eliminate the viscous terms by replacing the displacement, strain, and stress fields of the problem by the jumps in rates of these fields. After the viscous terms are eliminated, the problem is reduced to a linear elastic problem defined on the same spatial domain and with the same elastic constant as in the original viscoelastic problem. Such a reduced elastic problem is analytically solvable in many practical cases, and the solution yields a relation between jumps in the load rate and the displacement rate, pertinent to the boundary conditions in the original problem. Such a relation can often be used as the basis for an experimental scheme to measure the elastic constants of materials. The material can be time-or strain-dependent, and the value of the elastic constant measured corresponds to the time instant or the strain value when the jump in load or displacement rate is implemented. © 2009 Materials Research Society. |

dc.description.nature | Link_to_subscribed_fulltext |

dc.identifier.citation | Journal Of Materials Research, 2009, v. 24 n. 3, p. 853-862 [How to Cite?] DOI: http://dx.doi.org/10.1557/jmr.2009.0111 |

dc.identifier.doi | http://dx.doi.org/10.1557/jmr.2009.0111 |

dc.identifier.eissn | 2044-5326 |

dc.identifier.epage | 862 |

dc.identifier.hkuros | 154786 |

dc.identifier.isi | WOS:000267208100028 |

dc.identifier.issn | 0884-2914 2012 Impact Factor: 1.713 2012 SCImago Journal Rankings: 0.837 |

dc.identifier.issue | 3 |

dc.identifier.openurl | |

dc.identifier.scopus | eid_2-s2.0-63149126859 |

dc.identifier.spage | 853 |

dc.identifier.uri | http://hdl.handle.net/10722/59065 |

dc.identifier.volume | 24 |

dc.language | eng |

dc.publisher | Materials Research Society. The Journal's web site is located at http://www.mrs.org/publications/jmr |

dc.publisher.place | United States |

dc.relation.ispartof | Journal of Materials Research |

dc.relation.references | References in Scopus |

dc.rights | Journal of Materials Research. Copyright © Materials Research Society. |

dc.title | Response of power-law-viscoelastic and time-dependent materials to rate jumps |

dc.type | Conference_Paper |

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Author Affiliations

- The University of Hong Kong