![]() By approximating the phase boundary geometry in fine‐grained pores while considering both the curvature of the liquid‐ice interface and wetting interactions with matrix particles, our model predicts changes in phase equilibrium in granular media over a broad temperature range, where present accounting for the colligative effects of chloride and perchlorate solutes. We use a Monte Carlo approach to sample the pore space in a synthetic 3D packing of poly‐dispersed spherical particles and evaluate local geometrical constraints that allow us to assess changes in the relative proportions of pore fluid and ice. Accurate assessments of the progressive liquid‐ice phase transition is required for predictive models of frost damage, glacier‐till coupling, and many other cold regions processes, as well as for evaluating the capacity for water storage in near‐surface extraterrestrial environments. This allows studying high defecting nanocomposites with novel mechanical and technological properties.įreezing in porous media is associated with a host of dynamic phenomena that stem from the presence and mobility of premelted liquid at subzero temperatures. Advanced numerical methods are used instead of expensive fullscale experiments. Inclusions and provides the possibility for synthesis of multifunctional nanoscale structures with desired properties. The proposed approach is suitable for estimating the influence of fraction’s volume of nanoscale inclusions, permits analyzing packing the collection of Mathematical models and methods of optimized packing are proposed for computer simulation of filling a given volume with spherical and cylindrical nanoinclusions. It allows studying the influence of shapes and relative dimensions of inhomogeneities and matrixes of RVE on effective elastic modulus of nanocomposites. Finite elements method to determine effective elastic modulus of various RVE of three-dimensional nanocomposites is elaborated. ![]() Matrices of nanocomposites in the form of parallelepipeds with spherical or cylindrical nanoinclusions of different sizes are considered as typical RVE. The modelsĪre used for analyzing stress-strain state of nanocomposite and estimating average elastic characteristics. Mathematical models of three-dimensional representative volume elements (RVE) with systems of periodic and random located nanoinclusions are developed. A solution algorithm is proposed and computational results are presented. Using the phi-function technique a corresponding nonlinear programming model is constructed. The sparsest packing is aimed to place the 3D objects as distant as possible, freely sliding and rotating on the shelves subject to balancing conditions. The objects are assigned to specific shelves and are represented by a union of basic convex 3D shapes (e.g., cylinders, prisms, cuboids, cones). ![]() ![]() To achieve a stable processing quality and the most uniform distribution of thermal and power effects, the parts have to be placed sufficiently distant one from another, as well as from the lateral cylindrical surface of the container. ![]() The objects in the chamber are placed in a vertical cylindrical rack (container) divided into sub-containers by horizontal shelves rigidly fixed on a thin rod passing through the centre of the rack. This problem is motivated by the thermal deburring – modern clean and energy saving technology of removing burrs from machine parts (objects) by detonating gas mixtures in a deburring chamber. Sparsest packing for irregular 3D objects is introduced. ![]()
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