Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach Full article
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Meccanica
ISSN: 0025-6455 |
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| Output data | Year: 2018, Pages: 3779–3794 Pages count : 16 DOI: 10.1007/s11012-018-0909-0 | ||||||
| Tags | Fiber-reinforced composite Large strain Hyperelasticity Viscoelasticity Efficient numerics Multiplicative decomposition | ||||||
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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.
Cite:
Tagiltsev I.I.
, Laktionov P.P.
, Shutov A.V.
Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach
Meccanica. 2018. С.3779–3794. DOI: 10.1007/s11012-018-0909-0 WOS Scopus РИНЦ OpenAlex
Simulation of fiber-reinforced viscoelastic structures subjected to finite strains: multiplicative approach
Meccanica. 2018. С.3779–3794. DOI: 10.1007/s11012-018-0909-0 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000450517500011 |
| Scopus: | 2-s2.0-85055703456 |
| Elibrary: | 38194160 |
| OpenAlex: | W2808226992 |