APPLICATION OF BOUNDARY INTEGRAL EQUATIONS TO THE PENETRATION PROBLEM

SUDHIRA WASUWANICH

ABSTRACT: The present paper is a study of the formation of chips due to the penetration of a rigid wedge into brittle-elastic material such as rock.

The analysis of stress field has been numerically calculated by using published Boundary Integral Equations. It is found that the position of crack initiation is along the normal line from middle upper part of the wedge to the wedge side. When the load is increased less than 1.24 % beyond the critical limit fracture begin to propagate. Consequently the interior damaged region is growing around the wedge. The growing damaged region becomes more shallow and longer in the direction parallel to the wedge side. It grows in both horizontal and vertical directions. Stress near the damaged region is much more affected than stress far away. The stress path at some point is changed from the straight line to a curve with upward concavity. If the load is increased more than 1.24% of critical load the fracture becomes unstable.

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Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand

Received 27 April 1987