Numerical inspection of crack in solid bar using conduction

Abstract

The nature, behavior and position of a longitudinal crack in a homogeneous slab is investigated using FVM (Finite Volume Method). Effect of the crack on the stationary temperature field around the slab is also investigated. The slab is presumed to have a source subjected to high temperature and the crack surface is specified with two boundary conditions: ‘constant heat-flux’ and ‘constant-temperature’. Numerical results are also provided for various positions and different lengths of the crack (with above mentioned boundary conditions) along with two different boundary conditions of the bottom edge of the slab (i.e. bottom edge with constant heat flux and constant temperature). The heat transfer in the slab is assumed to be occurred through conduction only. Using the temperature profiles elsewhere in the slab, one can predict the nature, position and behavior of the crack.