This work provides a translation of "Modelirovanie deistviya vzriva pri razruzhenii gornikh porod" (Moscow, 1990). Presenting theories of simulating blast effects in elastic and elastoplastic media, it covers topics such as the classical and modern methods for modelling rock breakage by blasting.
Table of Contents
Prerace -- 1. Theoretical Concepts of Modelling the Effects of Blasting in Different Media -- 1 .1 Elements of Dimensional Analysis -- 1 .2 Fundamental Theor����ms and Additional Conditions of Similarity -- 1.2.1 Parameters determining the class and group of phenomena and a unique phenomenon -- 1.2.2 Concept of similarity -- 1 .2.3 Fundamental theorems and additional conditions of similarity -- 1.3 Concept of Imperfect and Approximate Similarity -- 1 .4 Fundamental Concepts of Modelling -- 2. Application of Theories of Similarity and Dimension to Investigations into Blast Effects in Various Media -- 2.1 Hydrodynamic Similarity Criteria in Blasting in Water and Air Media -- 2.1.1 Similarity criteria in hydrodynamics -- 2.1.2 Similitude criteria in the theory of blasting in water and air media -- 2.2 The Problem of a Powerful Blast (L.I. Sedov's Solution) -- 2.3 Specific Features of Similarity Criteria in the Constraction of Buildings Subjected to Explosion Indirectly -- 2.4 Approximate Evaluation of Pressure Fields in Blasts under Water and in Air in an Unconfined Medium -- 2.4.1 Pressure field induced by blasting in air -- 2.4.2 Pressure field induced by an underwater explosion -- 2.5 Similitude Criteria Applied to Blasting in Rocks -- 2.6 Evaluation of Stress Field while Blasting in Rocks under Conditions of an Unconfined Medium -- 3. Physical Modelling of Blast Effects in Rock Breakage -- 3.1 Essential Features of Physical Modelling Methods Based on Newton's Mechanical Similitude and Illustrations Related to their Use -- 3.1.1 Theoretical principles of mechanical modelling methods -- 3.1.2 Modelling of stress waves by the method of equivalent materials -- 3.1.3 Centrifugal modelling of blast effects in rocks -- 3.1.4 Photoelastic method -- 3.1.5 Solution to certain problems accompanying the blast effect in rocks, by the photoelastic method -- 3.2 Modelling Blast Effects Based on Dynamic and Energetic Similitudes under Laboratory and Full-scale Conditions -- 3.2.1 Methods of recording processes occurring in near-field zone of a blast -- 3.2.2 Methods for conducting model experiments for studying the processes occurring in mid-field zone of a blast -- 3.2.3 Methods of modelling air blasts and seismic waves induced by large-scale blasts in rocks -- 3.3 Modelling Shock and Stress Waves in Near-field Zone of a Blast -- 3.4 Modelling Development of Crater and Rupture Zones in Camouflet Blasting -- 3.5 Modelling Patterns of Propagation of Stress Waves and Blast-induced Stress Waves -- 3.6 Modelling Effects of Blast-induced Seismic Waves and Stress Waves on Buildings and Structures -- 3.6.1 Modelling effects of stress waves -- 3.6.2 Modelling seismic effects -- 3.7 Modelling Various Phenomena Associated with the Piston Effect of Gaseous Products of an Explosion -- 3.7.1 Modelling initial movement of broken rock -- 3.7.2 Modelling inertial motion of rock mass -- 3.7.3 Modelling throw of rock mass and formation of blast cone -- 3.8 Modelling the Muck Pile and its Consolidation -- 3.9 Modelling Fragmentation of Rock by Blasting -- 4. Mathematical Fundamentals of Modelling Blast Effects in Rocks -- 4.1 Theoretical Principles of Mathematical Modelling -- 4.1 .1 Theory of analogue models -- 4.1.2 Fundamentals of the theory of analogue computers -- 4.1 .3 Computing devices -- 4.2 Design of Electric Network Machines and Computing Devices -- 4.2.1 Electric network machines -- 4.2.2 Structured analogue computers -- 4.3 Simulation of Blast Effect by Method of Electrohydrodynamic Analogy -- 4.3.1 Fundamentals of simulating rock fragmentation by blasting, using the method of hydrodynamic analogy -- 4.3.2 Possibility of applying the method of hydrodynamic analogy for simulating various processes of rock fragmentation by blasting and its future prospects -- 4.4 Examples for Simulation of Wave Motion by Using Electric Networks and Computers -- 4.4.1 Solving ordinary differential equations on an analogue computer (ABM) -- 4.4.2 Generating solutions to differential equations in partial derivative form using an ABM -- 4.4.3 Mathematical simulation of wave motion induced Literature Cited by a blast.