The numerous approaches used in micromechanics can be classified into four broad
categories: perturbation methods, self-consistent methods of truncation of a hierarchy …

Materials that are either manufactured or occur in nature and used both in industry and in
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …

An improved method, based on an extension of the self-consistent method from the linear
theory, is proposed to evaluate the effective third-order elastic constants for isotropic …

In this paper, the mechanical response of incompressible particle-reinforced neo-Hookean
composites (IPRNC) under general finite deformations is investigated numerically. Three …

This study utilises a third-order expansion of the strain energy density function and finite
strain elastic theory to derive an analytical solution for an isolated, spherical void subjected …

A hyperelastic constitutive model is proposed to predict the mechanical behavior of
macroscopically transversely isotropic composites containing chain-structured particles. In …

We study the inflation, extension, torsion and shearing of an isotropic inhomogeneous
compressible annular right circular cylinder. Current approaches to homogenization that …

All real bodies are inhomogeneous, though in many such bodies the inhomogeneity is “mild”
in that the response of the bodies can be “approximated” well by the response of a …

The volume change and the strain energy stored in an isotropic elastic matrix by a disperse
substitution of spherical inclusions are determined by a non-linear analysis which accounts …

A micromechanical model is proposed for the prediction of nonlinearly thermoplastic,
multiphase particulate, and/or continuous reinforced composites in which any or all …