Using the movable cellular automata method, the typical situations in identification of nano-scale pores in a ceramics coating were simulated on the basis of the spectral analysis of continuous registering of friction force during the small counter-body motion on the coating surface. The Fourier spectra of the friction force are shown to have peaks corresponding to the distance between the pores and their size.

Base description of boundary conditions, allowing effectively carrying out account of «mechanical» effect of a liquid, is offered for numerical modeling by the particle method of behavior of solid bodies in a liquid medium. In spite of a number of restrictions, the developed algorithm of implementation of conditions on the boundary solid-liquid has shown applicability for solution of a wide range of problems connected, in particular, with studying of behavior of various sheet media (ice covers of reservoirs, lithosphere fragments, etc.), rested on a liquid-like foundation. Thus, the simplicity and efficiency of the offered approach gives way to realization of boundary conditions of the given type within the limits of various particle methods attributed to the class of methods of discrete elements.

Two algorithms are offered to solve the problem of construction of complex configuration three-dimensional objects and design area filling with modeled particles. Substantive provisions, advantages and disadvantages of each of the algorithm are presented. The methods to increase efficiency of the given problem solution by means of modern computer technologies are offered on the basis of test calculations.

The paper outlines in detail the mathematical foundations of a new method of discrete computational mechanics, viz., the method of movable cellular automata. Two approaches have been considered to specifying cellular automata interaction: the approximation of many-particle interaction and that of embedded particles. The problem as to the description of interaction of contacting surfaces has been given separate consideration within the framework of the particle method. A new way has been proposed for prescribing a real surface profile at the mesoand macrolevels. A model is described allowing an effective account of the characteristics of the surface roughness at the microlevel. The method of movable cellular automata is by no means exhaustive and makes it possible to apply different approaches and models for describing simulated media.

Capabilities of the movable cellular automata (MCA) method for computer simulation of three-storied structures for the purpose of increasing their strength characteristics are considered using simulated seismic loading of these structures as an example. Architecture of an intellectual electronic dynamic monitoring system for acquisition, storage, communication and processing of the data of full-scale experiments on fracture of real structures is proposed. Further application of this system in the movable cellular automata method to predict vulnerability of these structures is discussed.

A new promising numerical method is described. The method is based on the physical mesomechanics and referred to as the movable cellular automata (MCA) method. Since the methods proceeds from the discrete approach, the MCA-based software has a few clear advantages over that relying on the finite element method (FEM). The main merit consists in the fact that the method allows for modeling a real fracture process. The MCA method has been successfully used to model dynamic loading of heterogeneous materials and structures. The results of simulations agree closely with the experimental data. The capabilities of the MCA approach are demonstrated on the basis of inhomogeneous materials and structures. The results show that the MCA approach could be very useful in solving a great number of mechanical engineering problems ranging from the problems of materials science to calculation of the whole structures. A special software could be developed on the basis of this method. Due to its potentially unique abilities, the movable cellular automata method is considered a breakthrough in numerical techniques and a new tool for engineering mechanics. The MCA method is a very promising computational technique that allows one to study the objects where experimentation or direct measurement are not possible.

Base description of boundary conditions, allowing effectively carrying out account of «mechanical» effect of a liquid, is offered for numerical modeling by the particle method of behavior of solid bodies in a liquid medium. In spite of a number of restrictions, the developed algorithm of implementation of conditions on the boundary solid-liquid has shown applicability for solution of a wide range of problems connected, in particular, with studying of behavior of various sheet media (ice covers of reservoirs, lithosphere fragments, etc.), rested on a liquid-like foundation. Thus, the simplicity and efficiency of the offered approach gives way to realization of boundary conditions of the given type within the limits of various particle methods attributed to the class of methods of discrete elements.