Non-integer viscoelastic constitutive law to model soft biological tissues to in-vivo indentation

Demırcı N., Tönük E.

ACTA OF BIOENGINEERING AND BIOMECHANICS, vol.16, pp.13-21, 2014 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 16
  • Publication Date: 2014
  • Doi Number: 10.5277/abb-00005-2014-03
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.13-21
  • Keywords: fractional calculus, indentation tests, inverse finite element analysis, soft tissue constitutive relation, viscoelasticity, FRACTIONAL CALCULUS
  • Middle East Technical University Affiliated: Yes


Purpose: During the last decades, derivatives and integrals of non-integer orders are being more commonly used for the description of constitutive behavior of various viscoelastic materials including soft biological tissues. Compared to integer order constitutive relations, non-integer order viscoelastic material models of soft biological tissues are capable of capturing a wider range of viscoelastic behavior obtained from experiments. Although integer order models may yield comparably accurate results, non-integer order material models have less number of parameters to be identified in addition to description of an intermediate material that can monotonically and continuously be adjusted in between an ideal elastic solid and an ideal viscous fluid.