Simultaneous Identification of Two-Independent Viscoelastic Characteristics with the Virtual Fields Method

  • Yusuke Hoshino
  • Yuelin Zheng
  • Satoru YoneyamaEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 75)


In this study, a method for determining the viscoelastic material properties from displacement fields is proposed. Stress-strain relationship represented by the superposition integral is employed as the viscoelastic constitutive equation. Thus, the unknown properties are relaxation bulk and shear moduli. The virtual fields method based on the principle of virtual work is used as a method for the inverse analysis. The unknown material properties are determined by solving nonlinear simultaneous equations of the virtual work containing the constitutive equations. The validity of the proposed method is demonstrated by identifying the viscoelastic properties of a soft epoxy resin. Results show that the two independent viscoelastic material properties can be identified by proposed method.


Inverse analysis Virtual fields method Viscoelasticity Bulk relaxation modulus Shear relaxation modulus Digital image correlation 



This work was supported by JSPS KAKENHI Grant Number 18K03845.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Aoyama Gakuin UniversitySagamiharaJapan

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