A fractional model for mechanical stress relaxation
作者:
T.F. Nonnenmacher,
W.G. Glöckle,
期刊:
Philosophical Magazine Letters
(Taylor Available online 1991)
卷期:
Volume 64,
issue 2
页码: 89-93
ISSN:0950-0839
年代: 1991
DOI:10.1080/09500839108214672
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The Zener model relating stress (σ) to strain (σ) is generalized by applying the fractional calculus. The solution of the resulting fractional initial value problem is given in terms of Fox functions. A comparison with experimental relaxation data demonstrates good agreement with the theoretical predictions, and thus supports the fractional model, which includes as a special case the fractional Maxwell rheological law.
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