The elastic and electric fields for three-dimensional contact for transversely isotropic piezoelectric materials

✍ Scribed by Hao-Jiang Ding; Peng-Fei Hou; Feng-Lin Guo

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 473 KB
• Volume: 37
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(99)00027-x

✦ Synopsis

Firstly, the extended Boussinesq and Cerruti solutions for point forces and point charge acting on the surface of a transversely isotropic piezoelectric half-space are derived. Secondly, aiming at a series of common three-dimensional contact including spherical contact, a conical indentor and an upright circular ¯at punch on a transversely isotropic piezoelectric half-space, we solve for their elastic and electric ®elds in smooth and frictional cases by ®rst evaluating the displacement functions and then dierentiating. The displacement functions can be obtained by integrating the extended Boussinesq or Cerruti solutions in the contact region. Then, when only normal pressure is loaded, the stresses in the half-space of PZT-4 piezoelectric ceramic are compared in the ®gures with those of the transversely isotropic material which are assumed to have the same elastic constants as those of PZT-4. Meanwhile, the electric components in the half-space of PZT-4 piezoelectric ceramic are also shown in the same ®gures.