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Computational Approaches to Polymeric Nanocomposites
Published in Sefiu Adekunle Bello, Hybrid Polymeric Nanocomposites from Agricultural Waste, 2023
Saheed Olalekan Ojo, Sikiru Oluwarotimi Ismail
Rule of mixtures (ROM) is the simplest approach to predict the properties of composites. The basic assumption in this approach is that the properties of composites are dependent on the volume fraction of the constituent phases in the composite. Essentially, the properties of the filler and matrix constituents are used to estimate the macroscopic properties of composites [1].
Case Studies in Material Selection and Substitution
Published in Mahmoud M. Farag, Materials and Process Selection for Engineering Design, 2020
Sound and vibration damping for a candidate material is represented by its ability to absorb energy from a falling object on its surface, loss coefficient in an elastic modulus-loss coefficient chart provided by Ashby and Johnson (2002). Materials with higher values of loss coefficient are considered better for the interior panel application. In the case of composite materials, the rule of mixtures was used to estimate this property. The values of sound and vibration damping for the candidate materials are given in Table 11.14.
Introduction to Design of Composite Structures
Published in Robert M. Jones, Mechanics of Composite Materials, 2018
The rule of mixtures is a very satisfactory approach to predicting the stiffness behavior of the composite material in the fiber direction. However, the analytical tools for prediction of the behavior transverse to the fiber direction simply do not work out well. The other analyses are not accurate enough to claim that micromechanics is a valid and effective design-analysis tool. Moreover, since the 1960s, we have changed from large-diameter, regular-array composite materials, such as boron-epoxy, when micromechanics was developed to small-diameter, irregular-array composite materials such as graphite-epoxy and Kevlar-epoxy. Thus, we simply cannot even begin to claim that the analyses that we formerly used for boron-epoxy, which were not very good then, are at all applicable to graphite-epoxy.
Application of Hencky bar-chain model to buckling analysis of elastically restrained Timoshenko axially functionally graded carbon nanotube reinforced composite beams
Published in Mechanics Based Design of Structures and Machines, 2019
M. Rezaiee-Pajand, M. Mokhtari, S. M. Hozhabrossadati
To determine the material properties variation within the composite media, the refined rule of mixtures, which contains various efficiency parameters, is applied (Ke, Yang, and Kitipornchai 2010; Shen 2009). The effective material properties of the AFG-CNTRC beams can be expressed as: where and correspond to the elastic moduli and shear modulus of CNTs, respectively. Furthermore, and refer to the elastic and shear moduli of the isotropic matrix. Note that represent the efficiency parameters which account for the size dependent effects on the material properties of CNTs. These constants may be estimated by matching the effective properties of CNTs obtained via MD simulations with those achieved by the rule of mixtures (Ke, Yang, and Kitipornchai 2010). Substituting for from Eq. (3) into Eq. (4), variation of the elastic and shear moduli throughout the AFG-CNTRC beam can be given by:
Impact properties of thermoplastic composites
Published in Textile Progress, 2018
Ganesh Jogur, Ashraf Nawaz Khan, Apurba Das, Puneet Mahajan, R. Alagirusamy
It is possible to predict the properties of hybrid composites before fabrication using the rule of mixtures. Here, the final value of a particular property will be more than the value predicted by the rule of mixtures and such synergistic strengthening is termed the ‘hybrid effect’. A positive or negative hybrid effect in hybrid composites is defined as a positive or negative deviation of a certain mechanical property from the rule-of-mixtures behaviour. The effect may be either positive or negative, depending on the relative volume fraction of two types of fibres, construction of the layers, and loading configurations (eg trans-laminar or inter-laminar) [116].
Numerical and experimental procedure for material calibration using the serial/parallel mixing theory, to analyze different composite failure modes
Published in Mechanics of Advanced Materials and Structures, 2021
Joel Jurado Granados, Xavier Martinez, Niamh Nash, Carlos Bachour, Ioannis Manolakis, Anthony Comer, Daniel Di Capua
The formulation introduced in this work is based on the Rule of Mixtures (RoM), which obtains the composite performance by means of its constituent materials. The main advantage of the RoM versus other formulations is that once the properties of the fiber and matrix are defined, the composite response can be obtained for any fiber volumetric participation or the fiber orientation. Therefore, the necessity to test the laminate if any of these parameters are changed is suppressed.