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Belov A.V., Kopchenov O.V, Skachkov A.O., Ushakov D.E. Solid-state explosion simulation in COMSOL Multiphysics. Multiphase Systems. 14 (2019) 4. 253–261 (in Russian).
2019. Vol. 14. Issue 4, Pp. 253–261
URL: http://mfs.uimech.org/mfs2019.4.032,en
DOI: 10.21662/mfs2019.4.032
Solid-state explosion simulation in COMSOL Multiphysics
Belov A.V., Kopchenov O.V, Skachkov A.O., Ushakov D.E.
Nizhny Novgorod State Technical University n.a. R.E. Alekseev

Abstract

In this work, the propagation of blast waves in a rock mass caused by a short-term load is considered. Such loads are typical in the construction of tunnels and other excavations using blasting. For modeling by the finite element method, the cross-platform software COMSOL Multiphysics 5.4 was used. The explosion is reproduced in a steel tank whose steel grade is EN 1.7220 4CrMo4. The medium in the tank has the properties of granite rock (Young’s modulus E = 50 GPa, Poisson’s ratio ν = 2/7, Density ρ = 2700 kg/m3 ). The sphere is also a body having the properties of granite. Set to clarify the geometry of the explosion and the area where the mesh is indicated. The tank has dimensions: 10.39 m in length and diameter 2.9 m. The wall thickness of the tank is 0.01 m. To model the explosion, the Solid Mechanics interface was used, located in the Structural Mechanics branch, based on solving equations of motion together with a model for solid material. Results such as displacement, stress, and strain are calculated. The force per unit volume (Fv) is specified by the normal pressure in the sphere. Also, the tensile strength was calculated for this steel grade: upon reaching a certain pressure in the tank (7.26 MPa), the simulation stops, and the system notifies at what point in time the destruction occurred. A Time Dependent Study is used. Seconds are used as a unit of time. The task is calculated from 0 seconds (initial moment of time) to 0.003 seconds (final moment of time) with a construction step of 0.00005.

Keywords

explosion,
destruction

Article outline

Before the advent of tunnel drilling machines, blasting was the only economical way to build long tunnels through hard rock where digging is not possible. Even today, this method is still used in the construction of tunnels, for example, in the construction of the Lötschberg tunnel in Switzerland.

The decision to build a tunnel using a drilling machine or blasting method involves a number of factors. Tunnel length is a key issue that needs to be addressed because large mining tunnel drilling machines have high capital costs. This means that shorter tunnels are generally less economical to build with these machines and, therefore, are usually built using blasting.

Therefore, the question remains the amount of explosives needed for safe operation.

Purpose of study: the study the propagation of waves in a rock mass caused by a short-term load.

Research methods: The explosion process is simulated by the finite element method in the cross-platform software COMSOL Multiphysics® 5.4. The Body Load tool with the Force per unit volume parameter is used to simulate the total volume loads.

The force per unit volume in COMSOL Multiphysics® 5.4 is calculated according to the equation of motion (density * acceleration = gradient of the 1st Piola-Kirchhoff stress tensor + force per unit volume). The Piola-Kirchhoff stress tensor connects forces acting in spatial directions with regions in the initial undeformed configuration. Thus, its components are defined by indices related to various configurations.

The following tasks have been completed:

  • modeling of the propagation of blast waves (calculated pressure and displacement inside the barrel);
  • the fracture limit of a steel barrel is calculated.

As a result of the calculation, the following data were obtained:

  • pressure and displacement inside the steel tank during the propagation of blast waves;
  • tensile strength of a steel tank.

Conclusion: The result of this work was the simulation of an explosion in a solid medium (granite) in a steel barrel. The barrel pressure and displacement field were calculated.

Also, the fracture pressure was calculated, above which the barrel will be destroyed and the simulation will stop.

This basic model of the explosion will further allow for a broader study by increasing the number of simulation parameters, for example, temperature.

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