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A new analytical method for estimating lumped parameter constants of linear viscoelastic models from strain rate tests.

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Title: A new analytical method for estimating lumped parameter constants of linear viscoelastic models from strain rate tests.
Authors: Mattei, G.1,2,3 (AUTHOR) giorgio.mattei@centropiaggio.unipi.it, Ahluwalia, A.1,4 (AUTHOR)
Source: Mechanics of Time-Dependent Materials. Aug2019, Vol. 23 Issue 3, p327-335. 9p.
Subjects: Strain rate, Tangent function, Viscoelastic materials, Data compression, Elastic modulus
Abstract: We introduce a new function, the apparent elastic modulus strain-rate spectrum, E app (ε ˙) , for the derivation of lumped parameter constants for Generalized Maxwell (GM) linear viscoelastic models from stress-strain data obtained at various compressive strain rates ( ε ˙ ). The E app (ε ˙) function was derived using the tangent modulus function obtained from the GM model stress-strain response to a constant ε ˙ input. Material viscoelastic parameters can be rapidly derived by fitting experimental E app data obtained at different strain rates to the E app (ε ˙) function. This single-curve fitting returns similar viscoelastic constants as the original epsilon dot method based on a multi-curve global fitting procedure with shared parameters. Its low computational cost permits quick and robust identification of viscoelastic constants even when a large number of strain rates or replicates per strain rate are considered. This method is particularly suited for the analysis of bulk compression and nano-indentation data of soft (bio)materials. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We introduce a new function, the apparent elastic modulus strain-rate spectrum, E app (ε ˙) , for the derivation of lumped parameter constants for Generalized Maxwell (GM) linear viscoelastic models from stress-strain data obtained at various compressive strain rates ( ε ˙ ). The E app (ε ˙) function was derived using the tangent modulus function obtained from the GM model stress-strain response to a constant ε ˙ input. Material viscoelastic parameters can be rapidly derived by fitting experimental E app data obtained at different strain rates to the E app (ε ˙) function. This single-curve fitting returns similar viscoelastic constants as the original epsilon dot method based on a multi-curve global fitting procedure with shared parameters. Its low computational cost permits quick and robust identification of viscoelastic constants even when a large number of strain rates or replicates per strain rate are considered. This method is particularly suited for the analysis of bulk compression and nano-indentation data of soft (bio)materials. [ABSTRACT FROM AUTHOR]
ISSN:13852000
DOI:10.1007/s11043-018-9385-0