On the direct estimation of creep and relaxation functions

Joonas Sorvari (Corresponding Author), Matti Malinen

Research output: Contribution to journalArticleScientificpeer-review

34 Citations (Scopus)

Abstract

Two alternative approaches for estimating linear viscoelastic material functions from a single experiment under random excitation are derived and analyzed. First, Boltzmann’s superposition integral is discretized into a system of linear equations. Due to the ill-posedness of the resulting matrix equation, Tikhonov’s regularization is introduced. Second, the integral is transformed into a recursive formula, using a Prony series representation of viscoelastic material functions, in which gradient-based optimization is applied. Numerical results are provided to compare and verify the applicability of the presented numerical procedures.
Original languageEnglish
Pages (from-to)143-157
JournalMechanics of Time-Dependent Materials
Volume11
Issue number2
DOIs
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed

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Creep
Linear equations
Experiments

Keywords

  • Creep compliance
  • Relaxation modulus
  • Regularization
  • Optimization
  • Linear viscoelasticity

Cite this

Sorvari, Joonas ; Malinen, Matti. / On the direct estimation of creep and relaxation functions. In: Mechanics of Time-Dependent Materials. 2007 ; Vol. 11, No. 2. pp. 143-157.
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On the direct estimation of creep and relaxation functions. / Sorvari, Joonas (Corresponding Author); Malinen, Matti.

In: Mechanics of Time-Dependent Materials, Vol. 11, No. 2, 2007, p. 143-157.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Sorvari, Joonas

AU - Malinen, Matti

PY - 2007

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AB - Two alternative approaches for estimating linear viscoelastic material functions from a single experiment under random excitation are derived and analyzed. First, Boltzmann’s superposition integral is discretized into a system of linear equations. Due to the ill-posedness of the resulting matrix equation, Tikhonov’s regularization is introduced. Second, the integral is transformed into a recursive formula, using a Prony series representation of viscoelastic material functions, in which gradient-based optimization is applied. Numerical results are provided to compare and verify the applicability of the presented numerical procedures.

KW - Creep compliance

KW - Relaxation modulus

KW - Regularization

KW - Optimization

KW - Linear viscoelasticity

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JO - Mechanics of Time-Dependent Materials

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