Modelling the Effects of Blasting on Rock Breakage

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.

V. A. Borovikov and I.F. Vanyagin

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