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

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 reconstructed higher-order theory for functionally graded materials is further
enhanced by incorporating arbitrary quadrilateral subcell analysis capability through a …

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 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 …

The finite-volume direct averaging micromechanics (FVDAM) theory for periodic
heterogeneous materials is extended by incorporating parametric mapping into the theory's …

In this article, a high-order control volume finite element method (CVFEM) is proposed to
explore thermal stress analysis for functionally graded materials (FGMs) at steady state with …

Computational aspects of the recently developed parametric finite-volume theory for
functionally graded materials are critically examined through comparison with the finite …

In Part I of this communication, the finite-volume theory for functionally graded materials was
further extended to enable efficient analysis of structural components with curved …