SlabCutOpt

Protected version availbale for editors and reviewers of the International Journal of Rock Mechanics and Mining Sciences.

A free public version will be available, once this work will be published

A 3D algorithm for an optimized cutting of slabs from ornamental stone blocks

Mohamed Elkarmotya, Stefano BonduĆ b, Roberto Brunoc

 

 

aPhD Student, University of Bologna, School of Engineering and Architecture, Department of Civil, Chemical, Environmental and Materials Engineering, Geo-resources Group, Via Terracini 28, 40131 Bologna, Italy, mohamed.elkarmoty2@unibo.it(corresponding author)

 

bAssistant Professor, University of Bologna, School of Engineering and Architecture, Department of Civil, Chemical, Environmental and Materials Engineering, Geo-resources Group, Via Terracini 28, 40131 Bologna, Italy, stefano.bondua@unibo.it

 

cAssociate Professor, University of Bologna, School of Engineering and Architecture, Department of Civil, Chemical, Environmental and Materials Engineering, Geo-resources Group, Via Terracini 28, 40131 Bologna, Italy, roberto.bruno@unibo.it

 

The cutting/sawing of ornamental stone blocks into slabs is adversely affected by discontinuities. This paper presents a 3D algorithm for an optimized cutting/sawing of stone blocks based on a 3D deterministic modeling of discontinuities as 3D surfaces. The cutting algorithm was coded in the C++ programming language within a software package named SlabCutOpt allowing fast solving of the problem. The algorithm determines the intersection between a given size of slabs forming a 3D cutting grid and the discontinuities model, allowing to compute the recovery ratio of the block within several sawing orientation and displacements of the cutting grid. We tested the algorithm on a commercial-size limestone block cut from a quarry in Poggio Imperiale, Italy. The algorithm was applied to 37 different commercial-sizes of slabs in the case study, investigating the optimization results in terms of recovery ratio (a geo-environmental direction) and revenue (an economic direction). The results showed that the slab size of 30.0 cm x 10.0 cm x 3.0 cm provided the optimum recovery ratio, whilst the slab size of 30.5 cm x 30.5 cm x 1.0 cm provided the optimum revenue solution.

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