Discrete-continuum model of symmetric separation of a material

V. V. Glagolev, A. A. Markin, T. A. Mertsalova

Tula State University, Tula, 300600, Russia

Abstract: A problem of the beginning of motion of a finite-width cut in a linearly elastic plane under the action of symmetric external loading is formulated. The material on the way of cut propagation forms a layer (interaction layer). The stress-strain state of the material is postulated to be homogeneous across this layer. A system of integral boundary equations is obtained for determining the stress-strain state. Based on this system of equations, a discrete model of separation of the layer material is constructed under the assumption of a constant stress-strain state in an element of the interaction layer. The stress distribution in the pre-fracture zone is determined.

Keywords: characteristic size, integral boundary equation, linear elasticity.

UDC: 539.375

Received: 22.03.2007
Accepted: 20.11.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:1, 112–117

Bibliographic databases:

•