Effect of randomly distributed voids on effective linear and nonlinear elastic properties of isotropic materials

Effective elastic properties of a weakly nonlinear particulate composite

“…Previous studies [9,37] indicate that the third-order elastic constants are generally more sensitive to the concentration of the secondary phases in comparison to the linear elastic moduli. Therefore, the derived expressions may lay the foundation for the development of new experimental techniques e.g.…”

“…The second-order solution for sphericallysymmetric motions of a composite sphere presented by Ogden [9] may be recovered by applying the condition α = 1. Similarly, the second-order solution for an infinite medium containing an isolated spherical cavity presented in [37] may be recovered using the limiting conditions R e → ∞ and setting the elastic constants of the inhomogeneity to zero.…”

Mixing of Non-Collinear Lamb Wave Pulses in Plates with Material Nonlinearity

“…In the finite element simulations, the material nonlinearities and field equations can be modelled by considering the third-order terms of Murnaghan’s strain energy function [ 24 , 25 , 26 ]. Assuming the reference configuration is X and the current configuration of material is x , the displacement vector u is and the displacement gradient tensor F is where is the displacement gradient and I is the identity tensor.…”

Numerical investigation on the uniaxial compressive behaviour of an epoxy resin and a nanocomposite

“…Additionally, defects at the macroscale level, such as impurities (Morcom et al, 2010), voids (Vidler et al, 2021) and scratches (Kurkcu et al, 2012), cannot be avoided during the manufacture process. Because of their significant effects on the mechanical properties, especially on deformation and fracture, both the molecular and macroscale levels of defects should not be neglected during the analysis of polymer materials (Kurkcu et al, 2012;Li et al, 2020;Ma et al, 2020a;Vidler et al, 2021). Through the fractographic analyses of tested RTM6 samples, Chevalier et al (Chevalier et al, 2019b(Chevalier et al, , 2018 identified the correlation between fracture surfaces and ambient defects.…”