Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The study is devoted to the geometrically nonlinear simulation of fiber-reinforced composite structures. The applicability of the multiplicative approach to the simulation of viscoelastic properties of a composite material is assessed, certain improvements are suggested. For a greater accuracy in applications involving local compressive fiber buckling, a new family of hyperelastic potentials is introduced. This family allows us to account for the variable critical compressive stress, which depends on the fiber-matrix interaction. For the simulation of viscoelasticity, the well-established Sidoroff decomposition of the deformation gradient is implemented. To account for the viscosity of the matrix material, the model of Simo and Miehe (Comput Methods Appl Mech Eng 98:41–104, 1992) is used; highly efficient iteration-free algorithms are implemented. The viscosity of the fiber is likewise described by the multiplicative decomposition of the deformation gradient, leading to a scalar differential equation; an efficient iteration-free algorithm is proposed for the implicit time stepping. The accuracy and convergence of the new iteration-free method is tested and compared to that of the standard scheme implementing the Newton iteration. To demonstrate the applicability of the approach, a pressurized multi-layer composite pipe is modelled; the so-called stretch inversion phenomenon is reproduced and explained. The stress distribution is obtained by a semi-analytical procedure; it may serve as a benchmark for FEM computations. Finally, the issue of the parameter identification is addressed.

Original languageEnglish
Pages (from-to)3779-3794
Number of pages16
JournalMeccanica
Volume53
Issue number15
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

  • Efficient numerics
  • Fiber-reinforced composite
  • Hyperelasticity
  • Large strain
  • Multiplicative decomposition
  • Viscoelasticity
  • BEHAVIOR
  • FIELD
  • STATE
  • COMPOSITES
  • MODEL
  • LINEAR VISCOELASTICITY
  • FORMULATION
  • MECHANICS
  • ARTERIES
  • FREE-ENERGY

Fingerprint

Dive into the research topics of 'Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach'. Together they form a unique fingerprint.

Cite this