Outside of the classical microstructural detail-free estimates of effective moduli,
micromechanical analyses of macroscopically uniform heterogeneous media may be …

In this paper, we present a critical survey on homogenization theory and related techniques
applied to micromechanics. The validation of homogenization results, the characterization of …

Since early publications in the late 1980s and early 1990s, the finite volume method has
been shown suitable for solid mechanics analyses. At present, there are several flavours of …

The recently incorporated parametric mapping capability into the finite-volume direct
averaging micromechanics (FVDAM) theory has produced a paradigm shift in the theory's …

The finite-volume method is now a well-established tool in the numerical engineering
community for simulation of a wide range of problems in fluid and solid mechanics. Its …

The standard computational approach for the homogenization of elastic–plastic response of
periodic materials is the finite-element method. Amongst the emerging alternatives, the finite …

The cell-vertex finite volume method (CV-FVM) is developed for the thermoelastic analysis of
the functionally graded porous (FGP) structures with temperature-dependent material …

The purpose of this research is to demonstrate that the numerical issue associated with the
checkerboard patterns can be entirely controlled by applying the finite-volume theory …

We incorporate homogeneous traction and displacement boundary conditions into a
recently proposed hybrid homogenization theory for unidirectional composites with random …

Our purpose is to establish a numerical method meeting the requirements of accuracy and
easy-using for thermal-mechanical analysis of functionally graded structures. Faced with …