Differential geometry of viscoelastic models with fractional-order derivatives

Takahiro Yajima, Hiroyuki Nagahama

研究成果: ジャーナルへの寄稿学術論文査読

19 被引用数 (Scopus)

抄録

Viscoelastic materials with memory effect are studied based on the fractional rheonomic geometry. The geometric objects are regarded as basic quantities of fractional viscoelastic models, i.e. the metric tensor and torsion tensor are interpreted as the strain and the fractional strain rate, respectively. The generalized viscoelastic equations are expressed by the geometric objects. Especially, the basic constitutive equations such as Voigt and Maxwell models can be derived geometrically from the generalized equation. This leads to the fact that various viscoelastic models can be unified into one geometric expression.

本文言語英語
論文番号385207
ジャーナルJournal of Physics A: Mathematical and Theoretical
43
38
DOI
出版ステータス出版済み - 2010 9月 24

フィンガープリント

「Differential geometry of viscoelastic models with fractional-order derivatives」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル