Steady diffusion of an ideal fluid through a two-layer thick walled pre-stressed and fiber-reinforced hollow cylinder within the context of mixture theory

2021 ◽  
Vol 169 ◽  
pp. 103575
Author(s):  
A. Douhou ◽  
S. Ramtani
2016 ◽  
Vol 51 (19) ◽  
pp. 2779-2791 ◽  
Author(s):  
Hong-Liang Dai ◽  
Ting Dai ◽  
Wei-Feng Luo

In this paper, thermoviscoelastic behavior of a hollow cylinder made of short fiber-reinforced polymer considering porosity is investigated by an analytical method. Material properties, except the Poisson’s ratio and coefficient of thermal expansion, are assumed to be changed with the volume of constituents and porosity. Utilizing the finite Hankle integral transform and Laplace transform, analytical solutions for thermoviscoelastic behaviors of short fiber-reinforced polymer hollow cylinders under thermal and mechanical loads are obtained. Numerical examples show the influences of thermal load, mechanical load, and material porosity on the thermoviscoelastic behaviors of short fiber-reinforced polymer cylindrical structures.


2006 ◽  
Vol 73 (6) ◽  
pp. 901-910 ◽  
Author(s):  
Bibiana M. Luccioni

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.


1986 ◽  
Vol 53 (4) ◽  
pp. 765-773 ◽  
Author(s):  
H. Murakami ◽  
G. A. Hegemier

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.


2021 ◽  
Vol 128 (1) ◽  
Author(s):  
Heiko Topol ◽  
Murtadha J. Al-Chlaihawi ◽  
Hasan Demirkoparan ◽  
José Merodio

AbstractThis article considers a thin-walled hollow cylinder, which is composed of a fibrous and swellable hyperelastic material. The fibers are arranged in two families and they are taken to be parallel within each fiber family. The two fiber families are also assumed to be mechanically equivalent and symmetrically disposed in the ground substance material. At each instant of the homogeneous swelling, the material is taken to be incompressible. This article studies the interplay of swelling, fiber orientation, and the mechanical properties of the constituents on the initiation as well as on the axial propagation of bulging.


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