Efficient Numerics for the Analysis of Fibre-reinforced Composites Subjected to Large Viscoplastic Strains

Shutov, A. V.; Tagiltsev, I. I.

doi:10.1007/978-3-030-30355-6_15

Cited by 3 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An efficient algorithm for the fibre-like Maxwell body was suggested and tested in [42], [39]. Its extension to elasto-viscoplasticity was analysed in [40]. An efficient numerics is especially important when a big number of fibre families is considered for a greater accuracy [22].…”

Section: Isotropic and Fibre-like Maxwell Bodies With Pre-stressesmentioning

confidence: 99%

“…In contrast to the mentioned publications, the interaction between residual stresses and viscous effects is incorporated. Moreover, since the mathematical structure of multiplicative plasticity models is identical to the considered equations of viscoelasticity (see, for instance, [41], [26], [40]), the same approach can be transferred to elasto-plasticity in a straightforward way.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

Tagiltsev,

Shutov

2020

Preprint

View full text Add to dashboard Cite

Modelling of mechanical behaviour of pre-stressed fibre-reinforced composites is considered in a geometrically exact setting. A general approach which includes two different reference configurations is employed: one configuration corresponds to the load-free state of the structure and another one to the stress-free state of each material particle. The applicability of the approach is demonstrated in terms of a viscoelastic material model; both the matrix and the fibre are modelled using a multiplicative split of the deformation gradient tensor; a transformation rule for initial conditions is elaborated and specified. Apart from its simplicity, an important advantage of the approach is that well-established numerical algorithms can be used for pre-stressed inelastic structures. The interrelation between the advocated approach and the widely used "opening angle" approach is clarified. A full-scale FEM simulation confirms the main predictions of the "opening angle" approach. A locking effect is discovered; the effect is that in some cases the opening angle of the composite is essentially smaller than the opening angles of its individual layers. Thus, the standard cutting test typically used to analyse pre-stresses does not carry enough information and more refined experimental techniques are needed. NomenculatureF deformation gradient C right Cauchy-Green tensor ψ Helmholtz free-energy per unit mass T 2nd Piola-Kirchhoff stress tensor 1 identity tensor T Cauchy stress tensor A T transpose of a tensor tr(A) trace of a tensor A unimodular part of a tensor A D deviatoric part of a tensor K current configuration Klf load-free reference configuration Ksf stress-free reference configuration *

show abstract

Section: Isotropic and Fibre-like Maxwell Bodies With Pre-stressesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

Tagiltsev,

Shutov

2020

Preprint

View full text Add to dashboard Cite

show abstract

Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

Tagiltsev

Shutov

2020

Biomech Model Mechanobiol

View full text Add to dashboard Cite

Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis

Tagiltsev¹,

Parshin²,

Shutov³

2022

Math. Model. Nat. Phenom.

Self Cite

View full text Add to dashboard Cite

Blood vessels exhibit highly nonlinear, anisotropic behaviour with numerous mechanical interactions. Since exact modelling of all involved effects would yield a computationally prohibitive procedure, a practical clinical simulation tool needs to account for a minimum threshold of relevant factors. In this study, we analyse needed modelling assumptions for a reliable simulation of the end-to-side anastomosis. The artery wall is modelled in a geometrically exact setting as a pre-stressed fibre-reinforced composite. The study focuses on the sensitivity analysis of post-anastomosis stress fields concerning the modelling assumptions. Toward that end, a set of full-scale finite element simulations is carried out for three sensitivity cases: (i) The post-operational stresses are estimated with and without taking the residual stresses into account. (ii) Different geometries of the cut in the recipient vessel are examined. (iii) The influence of errors in material stiffness identification on the post-operational stress field is estimated. The studied cases (i)---(iii) have shown a substantial impact of the considered modelling assumptions on the predictive capabilities of the simulation. Approaches to more accurate predictions of post-operational stress distribution are outlined, and a quest for more accurate experimental procedures is made. As a by-product, the occurrence of the pseudo-aneurysm is explained.

show abstract

Efficient Numerics for the Analysis of Fibre-reinforced Composites Subjected to Large Viscoplastic Strains

Cited by 3 publications

References 25 publications

Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis

Contact Info

Product

Resources

About