Force on a piezoelectric screw dislocation. (English) Zbl 0735.73072

Pak, Y. E.

J. Appl. Mech. 57, No. 4, 863-869 (1990).

Summary: A screw dislocation in a hexagonal crystal exhibiting piezoelectric behavior is analyzed in the framework of linear elasticity theory. Considered is a straight dislocation with the Burgers vector normal to the isotropic basal plane. In addition to having a discontinuous displacement and a discontinuous electric potential across the slip plane, the dislocation is subjected to a line force and a line charge at the core. The solution is obtained in a closed form by means of a semi- inverse method. The electric-enthalpy which takes the place of the internal energy is calculated for the screw dislocation considered in the analysis. The interaction energy for two different internal stress-field systems is derived to calculate the force acting on an electro-elastic singularity. Both the standard method and a generalized path-independent integral is used to calculate the force on a piezoelectric screw dislocation subjected to external mechanical and electrical loads. Also calculated are the force between two parallel screw dislocations and the image force due to a free surface.

MSC:

74F15	Electromagnetic effects in solid mechanics
74A60	Micromechanical theories
74M25	Micromechanics of solids
74E15	Crystalline structure

Keywords:

screw dislocation; hexagonal crystal; linear elasticity; semi-inverse method; electric enthalpy; internal energy; interaction energy; internal stress-field systems; electro-elastic singularity; generalized path- independent integral