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]
Copyright of Mechanics of Time-Dependent Materials is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A new analytical method for estimating lumped parameter constants of linear viscoelastic models from strain rate tests.
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  Data: <searchLink fieldCode="AR" term="%22Mattei%2C+G%2E%22">Mattei, G.</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> giorgio.mattei@centropiaggio.unipi.it</i><br /><searchLink fieldCode="AR" term="%22Ahluwalia%2C+A%2E%22">Ahluwalia, A.</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+of+Time-Dependent+Materials%22">Mechanics of Time-Dependent Materials</searchLink>. Aug2019, Vol. 23 Issue 3, p327-335. 9p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Strain+rate%22">Strain rate</searchLink><br /><searchLink fieldCode="DE" term="%22Tangent+function%22">Tangent function</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelastic+materials%22">Viscoelastic materials</searchLink><br /><searchLink fieldCode="DE" term="%22Data+compression%22">Data compression</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+modulus%22">Elastic modulus</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics of Time-Dependent Materials is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11043-018-9385-0
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 327
    Subjects:
      – SubjectFull: Strain rate
        Type: general
      – SubjectFull: Tangent function
        Type: general
      – SubjectFull: Viscoelastic materials
        Type: general
      – SubjectFull: Data compression
        Type: general
      – SubjectFull: Elastic modulus
        Type: general
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      – TitleFull: A new analytical method for estimating lumped parameter constants of linear viscoelastic models from strain rate tests.
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              M: 08
              Text: Aug2019
              Type: published
              Y: 2019
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            – TitleFull: Mechanics of Time-Dependent Materials
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