MCA Book

Computer simulation by method of movable cellular automata

Development of a method for modeling the generation and propagation of elastic waves in the contact interaction of solids

Description

A huge number of processes associated with the physical processes that occur upon contact of solids. Therefore, experimental and theoretical studies of such processes are highly relevant. Recently, the modeling of continuous media, widespread mesoscopic methods. These include the method of lattice gases, the method of lattice Boltzmann equation (for modeling the flow of a viscous liquid) and the method of movable cellular automata (to model the deformation and fracture of solids). The author develops a method of movable cellular automata, proposed earlier Psakhie S.G., by taking into account many-body interactions between the tangential components of a cellular automaton, and taking into account their rotation for the three-dimensional problems. This gave the opportunity to explore the features of the generation and distribution in the environment of both the longitudinal and transverse elastic waves arising from the contact interaction of solids and thus analyze the process of contact interaction. The book is largely based on the work of the author, published in the last 5 years in international scientific publications.

About author

Dobrynin Sergey

The PhD of physical and mathematical sciences, an expert in physics and computer modeling of the mechanical behavior of materials at contact interaction on the basis of simulation by movable cellular automata. Author and co-author of over 25 scientific papers and program for simulation of materials in discrete continuum approach.

Key words:

destruction, mechanics of solids, contact interaction, elastic waves, wavelet analysis, modeling, particle method, MCA method, method of movable cellular automata, deformation.

Content

  • Introduction

Chapter 1. The approaches used in the study of contact interaction of solids

  • 1.1. Basic laws of mechanics of contact interaction
  • 1.2. Current approaches to the modeling of friction
  • 1.3. Method of movable cellular automata and its sharing with the methods of continuum mechanics

Chapter 2. Features of the generation of elastic waves in sliding friction

  • 2.1. Features of the analysis of elastic waves in a numerical simulation
  • 2.2. The study of the frequency spectrum of elastic waves generated in the contact friction
  • 2.3. Time-frequency analysis of elastic waves in a model of friction pair
  • 2.4. The influence of the profile of the interacting surfaces on the characteristics of the frequency spectrum of fluctuations in the friction pair
  • 2.5. The possibility of time-frequency analysis of acoustic emission data in the study of the wear process

Chapter 3. Analysis of the surface layer defects of the material through the tribological tests. 3D-modeling

  • 3.1. Features of the interaction of movable cellular automata in 3D-modeling
  • 3.2. Features of the interaction of movable cellular automata in 3D-modeling
  • 3.3. Explore the possibility of identification of nanoscopic pores on the basis of sliding friction
  • Conclusion
  • Bibliography