The role of thermal residual stress on the yielding behavior of carbon nanotube–aluminum nanocomposites

A new form of a Halpin–Tsai micromechanical model for characterizing the mechanical properties of carbon nanotube-reinforced polymer nanocomposites

“…Several micromechanical models have been proposed to predict the mechanical properties of the CNT-reinforced nanocomposites [35][36][37]. For example, Fisher et al [38] proposed a model combining finite element (FE) and rule of mixture (ROM) micromechanical methods to calculate the elastic modulus of PMNCs reinforced with wavy CNTs.…”

Micromechanics-based characterization of elastic properties of shape memory polymer nanocomposites containing SiO2 nanoparticles

“…Figure 2 shows the RVE of SiO 2 nanoparticle–reinforced polymer matrix nanocomposite being studied here. It is assumed that the mechanical properties of the nanocomposite are similar to the properties of this RVE (Baxter and Robinson, 2011; Hassanzadeh-Aghdam et al, 2017; Mahmoodi and Vakilifard, 2017; Snipes et al, 2011). Three phases of the RVE including SiO 2 nanoparticle, polymer matrix, and interphase between the nanoparticles and the surrounding polymer are considered as homogeneous and isotropic materials.…”

“…It should be noted that the spherical SiO 2 nanoparticles are modeled as nanocubes and each sub-cell of the RVE is labeled by ijk , with i , j , and k denoting the location of the sub-cell along the x, y , and z directions, respectively. Generally, an assumption in the unit cell–based models, such as MOC (Dhala and Ray, 2015; Kundalwal and Ray, 2014), GMC (Baxter and Robinson, 2011; Snipes et al, 2011), and SUC (Hassanzadeh-Aghdam et al, 2017; Mahmoodi and Vakilifard, 2017) approaches, is to consider rectangular parallelepiped reinforcement. Thus, in order to simulate the nanoparticles with an aspect ratio equaling to one, the rectangular parallelepiped reinforcement is converted to nanocube (Fralick et al, 2012).…”

“…The numbers of sub-cells present in the RVE along the x, y , and z directions are 3, 3, and 3, respectively. Also, in previous unit cell methods (Baxter and Robinson, 2011; Hassanzadeh-Aghdam et al, 2017; Mahmoodi and Vakilifard, 2017; Snipes et al, 2011), assuming the perfectly bonding condition at the interface between all sub-cells of the RVE is a critical issue. In Figure 2, d and t i stand for nanoparticle diameter and thickness of the interphase, respectively.…”

“…The objective of this article is to study the elastic properties of SiO 2 nanoparticle–SMP nanocomposites by the use of the SUC micromechanical model (Hassanzadeh-Aghdam et al, 2017; Mahmoodi and Aghdam, 2011; Mahmoodi et al, 2010; Mahmoodi and Vakilifard, 2017). An interphase zone formed due to the interaction between the nanoparticles and the surrounding polymer matrix is considered in the simulation of nanocomposites.…”