Creep Response of Carbon-Fiber-Reinforced Composite Using Homogenization Method

Abstract

The homogenization theory, used for the study of differential equations with periodic coefficients, with a rapid variation, is used in the paper for the analysis of the creep phenomenon of composite materials, reinforced with fibers. Generally, a polymer composite having a matrix with a viscoelastic response manifests a creep behavior. A good knowledge of mechanical constants allows us to predict the time response under the action of a load, which is important in engineering. The homogenization method is used to determine the engineering constants for a composite reinforced with carbon fibers. The method is applied for the particular case of fiber-reinforced unidirectional composites to obtain the equations that finally offer the required values. The epoxy matrix Fibredux 6376C is reinforced with carbon fibers T800 and the thermoplastic specimens made by APC2 material is reinforced with carbon fibers of the type IM6. The experimental results give a good concordance with the theoretical predictions.

Finite Element Method-Based Simulation Creep Behavior of Viscoelastic Carbon-Fiber Composite

“…In this way, the finite element method proves to be a powerful tool for calculating the mechanical properties of a multiphase material. Compared to the already known and applied methods, such as the use of micromechanical models, homogenization theory and Mori-Tanaka formalism, the finite element method is added, as a useful and relatively simple method of determining the coefficients of the constitutive equations of the material [54]. A future way of developing the topic is to improve the procedure by adding new results on how the finite element method can be used together with a parametric approach to the problem.…”

A Mixed Iteration Method to Determine the Linear Material Parameters in the Study of Creep Behavior of the Composites

“…The constitutive equation (in uniaxial stress and isothermal conditions) is written as such [1]: To evaluate D 66 , which is used to measure time-dependent shear modulus G 12 , [±45] 2s laminates are tested under tensile creep loading condition similar to that of 90-degree specimens. Using the transformation presented in [28] for θ = 45 o (the angle between global and local coordinates (see Figure 1)), it can be shown that:…”

“…To evaluate , which is used to measure time-dependent shear modulus laminates are tested under tensile creep loading condition similar to that of 90-degree specimens. Using the transformation presented in [ 28 ] for (the angle between global and local coordinates (see Figure 1 )), it can be shown that: where x and y are the longitudinal and transverse directions. Moreover, the shear stress is found to be , with being the constant applied stress in the creep test.…”

Numerical Simulation of the Bearing Capacity of Variotropic Short Concrete Beams Reinforced with Polymer Composite Reinforcing Bars

“…Such synergy, as we have already established earlier, can be complex reinforcement, namely, fiber plus reinforcing bars, improved concrete characteristics due to their nanomodification or the same fiber reinforcement with fibers [ 30 , 31 , 32 , 33 , 34 ]. However, in addition to the above methods, it is also promising to create so-called differentiated building elements, particularly in their cross section [ 35 , 36 , 37 , 38 , 39 , 40 ].…”

“…Mineral impregnated carbon fiber composites are a new type of reinforcement for construction. Compared to steel reinforcement, carbon fiber reinforcement has a much higher tensile strength and a significantly lower weight [ 22 , 24 , 31 , 33 , 35 , 38 , 39 , 41 , 42 , 43 , 44 , 47 , 49 , 51 , 55 , 59 ]. At present, the technology of reinforcing concrete bending elements with carbon fiber sheets is popular [ 44 , 59 ].…”