Fast moving edge dislocations on the (110) plane in anisotropic body-centred-cubic crystals

Abstract The elastic displacement field around a uniformly moving edge dislocation has been obtained for the case where the dislocation glides on a (110) plane in a direction in an anisotropic body-centred-cubic crystal. A general solution is found which involves elastic displacements in all three coordinate directions. The situation where the degree of anisotropy is small is analysed in detail. An equation is obtained for the velocity (the Rayleigh wave velocity) at which the shear stress on the slip plane of a moving dislocation is zero. Dislocations of like sign moving at velocities faster than this velocity attract rather than repel one another. It is concluded that when anisotropy is small and the elastic constant c 11 is smaller than c 12 + 2c 44 (the more commonly occurring relationship between the elastic constants) the Rayleigh wave velocity is increased above its value in an isotropic crystal and therefore the extent of the velocity region where dislocations exhibit an anomalous behaviour ...