TY - JOUR
T1 - Viscoelastic models revisited
T2 - characteristics and interconversion formulas for generalized Kelvin–Voigt and Maxwell models
AU - Serra-Aguila, A.
AU - Puigoriol-Forcada, J. M.
AU - Reyes, G.
AU - Menacho, J.
N1 - Publisher Copyright:
© 2019, The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/12/1
Y1 - 2019/12/1
N2 - Generalized Kelvin–Voigt and Maxwell models using Prony series are some of the most well-known models to characterize the behavior of polymers. The simulation software for viscoelastic materials generally implement only some material models. Therefore, for the practice of the engineer, it is very useful to have formulas that establish the equivalence between different models. Although the existence of these relationships is a well-established fact, moving from one model to another involves a relatively long process. This article presents a development of the relationships between generalized Kelvin–Voigt and Maxwell models using the aforementioned series and their respective relaxation and creep coefficients for one and two summations. The relationship between the singular points (maximums, minimums and inflexion points) is also included.
AB - Generalized Kelvin–Voigt and Maxwell models using Prony series are some of the most well-known models to characterize the behavior of polymers. The simulation software for viscoelastic materials generally implement only some material models. Therefore, for the practice of the engineer, it is very useful to have formulas that establish the equivalence between different models. Although the existence of these relationships is a well-established fact, moving from one model to another involves a relatively long process. This article presents a development of the relationships between generalized Kelvin–Voigt and Maxwell models using the aforementioned series and their respective relaxation and creep coefficients for one and two summations. The relationship between the singular points (maximums, minimums and inflexion points) is also included.
KW - Dynamic mechanical analysis
KW - Mechanical vibrations
KW - Viscoelasticity
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U2 - 10.1007/s10409-019-00895-6
DO - 10.1007/s10409-019-00895-6
M3 - Article
AN - SCOPUS:85074013242
SN - 0567-7718
VL - 35
SP - 1191
EP - 1209
JO - Acta Mechanica Sinica/Lixue Xuebao
JF - Acta Mechanica Sinica/Lixue Xuebao
IS - 6
ER -