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 …

In this paper, a review of papers on mathematical homogenization of dissipative composites
under small strains and on the interplay between homogenization procedure and dissipation …

The current work deals with periodic thermomechanical composite media, in which the
material constituents are considered to obey the generalized standard materials laws. The …

Theoretical analysis of transient multilayer heat/mass transfer problems is of much relevance
in a variety of engineering systems. While several analytical techniques are already …

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 …

Diffusion in a multi-layer body is a common problem in heat and mass transfer, with
applications in multiple engineering systems, such as Li-ion battery packs and first-order …

Theoretical modeling of thermal conduction in a multilayer cylinder has been studied in
multiple past papers due to its significance in engineering applications such as nuclear …

Multilayer diffusion-reaction problems are of much interest for both heat and mass transfer.
While past work in this direction has mainly addressed multilayer bodies of finite size …

In this paper, the analytical and computational homogenization of composites with
generalized microstructural periodicity is presented. The role of non-linear periodicity …

The multilayered composite structure has been utilized frequently in the literature of periodic
homogenization as a test case for developing new methodologies for linear and nonlinear …