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MATHEMATICAL AND COMPUTER SIMULATION OF THE STRESS STATE CAUSED BY THE DISPLACEMENT OF A RIGID CIRCLE DISC IN A PIEZOELECTRIC SPACE

Using the mathematical model that takes into account the coupling of force and electric fields in piezoelectric bodies, the stress distribution that occurs when a rigid thin circle disk moves along the axis of symmetry of an electroelastic transversely isotropic material is studied. The exact solution of the space problem of electroelasticity is obtained on the basis of the solution representing of the static equations of electroelasticity for a transversely isotropic body through harmonic functions and using a harmonic potential of a special type. As special cases, from the found analytical solution follow the expressions for evaluating the stress state in an elastic transversely isotropic material for the displacement of a circle hard disk. Computer simulation have been carried out, the influence of the coupling of the force and electric fields on the distribution of stresses under a rigid circle disk. 233 KEY WORDS: MATHEMATICAL MODEL, COMPUTER SIMULATION, PIEZOELECTRIC SPACE, HARD CIRCLE DISK, ELECTRICAL AND STRESS STATE, STRESS DISTRIBUTION, FIELD COUPLING EFFECT.