On some connections between equivalent single material and mixture theory models for fiber reinforced hyperelastic materials

2012 ◽  
Vol 47 (2) ◽  
pp. 285-292 ◽  
Author(s):  
Thomas J. Pence ◽  
Alan Wineman
Keyword(s):  
Mixture Theory ◽  
Fiber Reinforced ◽  
Hyperelastic Materials ◽  
Single Material

Constitutive Model for Fiber-Reinforced Composite Laminates

2006 ◽  
Vol 73 (6) ◽  
pp. 901-910 ◽  
Author(s):  
Bibiana M. Luccioni
Keyword(s):  
Constitutive Model ◽  
Constitutive Equations ◽  
Composite Laminates ◽  
Mixture Theory ◽  
Laminated Composite ◽  
Nonlinear Program ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Proposed Model

Nowadays, conventional materials have been progressively replaced by composite materials in a wide variety of applications. Particularly, fiber reinforced composite laminates are widely used. The appropriate design of elements made of this type of material requires the use of constitutive models capable of estimating their stiffness and strength. A general constitutive model for fiber reinforced laminated composites is presented in this paper. The model is obtained as a generalization of classical mixture theory taking into account the relations among the strains and stresses in the components and the composite in principal symmetry directions of the material. The constitutive equations for the laminated composite result from the combination of lamina constitutive equations that also result from the combination of fibers and matrix. It is assumed that each one of the components are orthotropic and elastoplastic. Basic assumptions of the proposed model and the resulting equations are first presented in the paper. The numerical algorithm developed for the implementation in a three-dimensional (3D) finite element nonlinear program is also described. The paper is completed with application examples and comparison with experimental results. The comparison shows the capacity of the proposed model for the simulation of stiffness and strength of different composite laminates.

scholarly journals On non-physical response in models for fiber-reinforced hyperelastic materials

2010 ◽  
Vol 47 (16) ◽  
pp. 2056-2061 ◽  
Author(s):  
J. Helfenstein ◽  
M. Jabareen ◽  
E. Mazza ◽  
S. Govindjee
Keyword(s):  
Fiber Reinforced ◽  
Hyperelastic Materials ◽  
Physical Response

scholarly journals How to implement user-defined fiber-reinforced hyperelastic materials in finite element software

2020 ◽  
Vol 110 ◽  
pp. 103737
Author(s):  
Heleen Fehervary ◽  
Lauranne Maes ◽  
Julie Vastmans ◽  
Gertjan Kloosterman ◽  
Nele Famaey
Keyword(s):  
Finite Element ◽  
Fiber Reinforced ◽  
Hyperelastic Materials ◽  
Finite Element Software

A Mixture Model for Unidirectionally Fiber-Reinforced Composites

1986 ◽  
Vol 53 (4) ◽  
pp. 765-773 ◽  
Author(s):  
H. Murakami ◽  
G. A. Hegemier
Keyword(s):  
Mixture Model ◽  
Model Comparison ◽  
Multiple Scales ◽  
Mixture Theory ◽  
Reinforced Composites ◽  
Effective Moduli ◽  
Fiber Reinforced ◽  
Mixed Variational Principle ◽  
Model Predictions ◽  
Elastic Composites

A binary mixture theory with microstructure is constructed for unidirectionally fiber-reinforced elastic composites. Model construction is based on an asymptotic scheme with multiple scales and the application of Reissner’s new mixed variational principle (1984). In order to assess the accuracy of the model, comparison of the mixture model predictions with available experimental data on dispersion of harmonic waves is made for boron/epoxy and tungsten/aluminum composites. Formulas for the effective moduli are also presented, and the results are compared with test data and other available predictions.

Sign in / Sign up

Export Citation Format

Share Document