Anisotropic finite strain viscoelasticity: Constitutive modeling and finite element implementation

Hongliang Liu, Gerhard A. Holzapfel, Bjørn H. Skallerud, Victorien Prot*

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

Abstract

A new anisotropic finite strain viscoelastic model is presented, which is based on the Holzapfel type anisotropic hyperelastic strain-energy function. The anisotropic viscous part is set to be independent from the isotropic viscous part. A corresponding multiplicative decomposition of the deformation gradient is presented, and a specific definition of the anisotropic viscous fiber term. A new method to develop the evolution equations of the viscous internal variables is also provided. The time derivatives of the internal variables for the isotropic and anisotropic viscous parts are obtained from the evolution equation of the second Piola–Kirchhoff stress for the viscous part. The corresponding analytical validation of non-negative dissipation using the second law of thermodynamics is provided. The incompressible plane stress case is used to achieve an analytical solution for the proposed constitutive model. A good agreement between the finite element results and the analytical solution is obtained. Finally, some numerical simulations are presented, including the viscous hysteresis response, experimental data fitting and a relaxation test.

Originalspracheenglisch
Seiten (von - bis)172-188
Seitenumfang17
FachzeitschriftJournal of the Mechanics and Physics of Solids
Jahrgang124
DOIs
PublikationsstatusVeröffentlicht - 1 März 2019

ASJC Scopus subject areas

  • Physik der kondensierten Materie
  • Werkstoffmechanik
  • Maschinenbau

Fingerprint

Untersuchen Sie die Forschungsthemen von „Anisotropic finite strain viscoelasticity: Constitutive modeling and finite element implementation“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren