Multivariate Statistical Analysis of the Wear on Diamond Beads in the Cutting of Andesitic Rocks

Abstract

The wearing rate on the beads of diamond wire is the major parameter that effects the cost of a hard rock marble quarry in the diamond wire cutting method. Therefore, it is very important to develop the predictive equations that can be used to assess the wearing on beads during the rock cutting. This study is primarily concerned with this problem. Diamond wire cutting studies in industrial scale were performed at andesitic rocks of different mechanical and physical characteristics. The andesitic rocks are located at Çubuk District of Ankara Province (TURKEY). The wearings on beads in two modes of vertical and horizontal cuttings are evaluated separetely and modelled as function of rock properties, machine and cutting characteristics. Multivariate statistical methods include factor and regression analysis in reduced and unreduced forms. The unreduced model covers all the independent variables. In the reduced model one of the variables that is strongly interrelated (X 2 , X 11 , X 13 , X 16 , X 17 ) is eliminated and the rest is used in the analysis. Reduced and unreduced model equations predicting the wearing of diamond beads in the wire cutting of andesitic rocks are developed.

Rock variability and establishing confining pressure levels for triaxial tests on rocks

“…Ozcelik [23] has investigated the effects of the mechanical and physical properties of Ankara andesite on the wearing rate of diamond wire beads. Karpuz and Pasamehmetoglu [24] have extensively studied the area where the rock blocks are gathered for the laboratory work.…”

“…The rock type used in the experiments for the rock mechanics course taught by the authors is broadly described as Ankara andesite [23][24][25][26]. Andesite is a finegrained igneous, volcanic (extrusive) rock, of intermediate composition, with aphanitic to porphyritic texture.…”

The effect of the rock anisotropy on the efficiency of diamond wire cutting machines

“…Polat [4] found statistically significant relationships between the bead wear and uniaxial compressive strength (UCS) and elasticity modulus and also textural properties at a 95% confidence level for metamorphic and sedimentary rocks. Ozcelik [7] investigated the effect of physical and mechanical properties of andesitic rock on the bead wear in diamond wire cutting. He found in his study that wear rate is positively correlated with the modulus of elasticity, UCS, shore hardness, tensile strength and specific gravity while it is negatively correlated with water adsorption and Bohme surface abrasion strength.…”

“…Many studies have been carried out that aim to investigate the effect of these parameters, given in Table 1, on the efficiency parameters, namely unit wear (UW), CR and SE in the diamond wire cutting method [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Some researchers have attempted to investigate the effects of physical and mechanical factors including uniaxial compressive and the tensile strength and textural properties of rocks, on the diamond bead wear [2][3][4][5][6][7], motor power and wire speed [8,9], bead shape [10], number of beads on the wire [1,11], wear type on diamond beads during cutting in different kinds of rock [12], marble block dimension to be cut [1,13,14], cutting geometry during cutting [2,15], structure of the diamond bead and wire [2,16,17], use of chemical additives during cutting [18] and a computer simulation of diamond wire cutting [19,20].…”

“…Some researchers have attempted to investigate the effects of physical and mechanical factors including uniaxial compressive and the tensile strength and textural properties of rocks, on the diamond bead wear [2][3][4][5][6][7], motor power and wire speed [8,9], bead shape [10], number of beads on the wire [1,11], wear type on diamond beads during cutting in different kinds of rock [12], marble block dimension to be cut [1,13,14], cutting geometry during cutting [2,15], structure of the diamond bead and wire [2,16,17], use of chemical additives during cutting [18] and a computer simulation of diamond wire cutting [19,20]. Ozcelik [2] revealed that as the amount of wear on diamond beads and SE increases, the CR and wire production decrease.…”