Application of Prony Series to Linear Viscoelasticity
作者:
J. E. Soussou,
F. Moavenzadeh,
M. H. Gradowczyk,
期刊:
Transactions of the Society of Rheology
(AIP Available online 1970)
卷期:
Volume 14,
issue 4
页码: 573-584
ISSN:0148-6055
年代: 1970
DOI:10.1122/1.549179
出版商: The Society of Rheology
数据来源: AIP
摘要:
A new method for description of viscoelastic functions with Prony series of exponentials is presented and compared with existing methods. This method places constraints on the coefficients of the series which guarantees smoothness of the functions and a discrete spectral representation. An optimization technique is used to obtain the solution. The resulting series permit the use of Whittaker's method of solution of integral equations which is specialized to the case of viscoelastic analysis, and an exact relationship is obtained between creep and relaxation functions.
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