On the direct estimation of creep and relaxation functions

Joonas Sorvari (Corresponding Author), Matti Malinen

Research output: Contribution to journalArticleScientificpeer-review

47 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed


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


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