Nonlocal model of inelastic deformations applied to dynamic problem of rock fracturing

Abstract

The major factor of well drilling with PDC bit is a dynamic interaction of cutting tool and rock. In this paper non-stationary nonlocal model of inelastic deformations is applied to rock cutting with cutting tool problem. The suggested numerical solution of 2-dimensional dynamic problem is based on mixed finite element method. The nonlocal model leads to the appearance of two non-classical material constants that by analogy with classic model, can be called ’inelastic’ moduli. Numerical modeling has proven that is possible to predict both chip size and depth of cut within the scope of the suggested model if only the non-classical moduli are defined.