Internal and mesoscopic variables differ fundamentally from each other: both are state space variables, but mesoscopic variables are additionally equipped with a distribution function introducing a statistical item into consideration which is missing in connection with internal variables. Thus, the alignment tensor of the liquid crystal theory can be introduced as an internal variable or as one...

In this article, deformation and mechanical response of a rubbery metallic material were investigated. First, the mesoscopic structural properties of the material and its evolution during part producing were analyzed and described in detail. Then the inherence relationship between the macroscopic mechanical properties and mesoscopic structural characteristics were studied, in which the related ...

the present paper offers a meso-scale numerical model to investigate the effects of random distribution of aggregate particles and steel fibers on the elastic modulus of steel fiber reinforced concrete (sfrc). meso-scale model distinctively models coarse aggregate, cementitious mortar, and interfacial transition zone (itz) between aggregate, mortar, and steel fibers with their respective materi...

Through three examples we illustrate some of the concepts and ingredients required for pattern formation at mesoscopic scales. Two examples build on microscopic models where mesoscopic patterns emerge from homogeneous ground states driven into instability by external forcing. In contrast, the third example builds on a mesoscopic phenomenological Ginzburg-Landau type model of solid-solid structu...

A hierarchical procedure bridging the gap between atomistic and mesoscopic simulations for materials design is presented. A dissipative particle dynamics (DPD) is adopted for a mesoscopic simulation technique. In this method, a molecular structure is represented using a coarse-grained model, connecting soft spherical particles that correspond to a group of several atoms. The interaction paramet...

We demonstrate that in the atomic-scale limit the thermal conductance K of the Fermi-Pasta-Ulam (FPU) model and its variants strongly deviates from the mesoscopic behavior due to the relevance of contact resistance. As a result, atomic chains follow log K=nu log T, where the power-law coefficient nu is exactly two times larger than the mesoscopic value. We smoothly interconnect the atomic and m...

A new mesoscopic membrane model is developed in order to examine long-wavelength structural and dynamical membrane phenomena. Two different explicit mesoscopic solvent models are employed. The first mesoscopic solvent is denoted the big liquid oscillating blob system, which is parametrized to model water at a coarse-grained level and is motivated by a Langevin-like approach; the resulting membr...