**TRANSACTION PAPER**

**Analysis of the radial and tangential stress distribution between two neighbouring circular holes under internal pressure by numerical modelling**

**Sh. Arshadnejad ^{I}; K. Goshtasbi^{II}**

^{I}Department of Mining Engineering, Mahallat Branch, Islamic Azad University, Mahallat, Iran

^{II}Department of Mining Engineering, Tarbiat Modares University, Tehran, Iran

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**SYNOPSIS**

Stress analysis in a rock medium is essential to determine the stress concentration between two consecutive circular holes and prediction of fracture behaviour. When two consecutive circular holes in a hard rock medium such as granite are loaded internally by the pressure of non-explosive expansion material (NEEM), stress concentration occurs between the holes which then causes the rock to fracture. In this work, finite element (FE) analysis using Phase^{2} code was employed to study the stress concentration between two consecutive circular holes under internal pressure induced by NEEM. Effects of different hole diameters and spacings, rock properties and NEEM pressures have been analysed. The data gained from the numerical analysis and analytical solutions were then used to develop two models. These models were then modified by using the FE data and polynomial regression analysis. The developed analytical models showed to be in a very good agreement with the FE analysis. Hence, the developed models can be used with confidence to determine stress distribution and concentration factors around two consecutive circular holes in a hard and brittle rock which are loaded internally by the pressure induced from the NEEM.

**Keywords**: Finite element method, non-explosive, quarry mining, stress concentration

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