The contact interaction of two compressed electroelastic transversely isotropic half-spaces with different properties is studied. One of the half-spaces has an axisymmetric notch of special shape. The contact plane coincides with the plane of isotropy of the half-spaces. Explicit formulas for the contact pressure, displacements, and the size of the gap between piezoelectric half-spaces are derived. These contact characteristics for transversely isotropic and isotropic elastic half-spaces are obtained as special cases
Similar content being viewed by others
References
S. Yu. Babich, A. N. Guz, and V. B. Rudnitskii, “Contact problems for prestressed elastic bodies and rigid and elastic punches,” Int. Appl. Mech., 40, No. 7, 744–765 (2004).
N. M. Borodachev, “Solving the contact problem of thermoelasticity in the case of axial symmetry,” Izv. AN SSSR, Otd. Tekhn. Nauk Mekh. Mashinostr., No. 5, 86–90 (1962).
L. A. Galin, Contact Problems of Elasticity and Viscoelasticity [in Russian], Nauka, Moscow (1980).
A. N. Guz, “Contact problems for compressible elastic prestressed bodies,” Dokl. AN USSR, Ser. A, No. 6, 46–52 (1980).
V. T. Grinchenko, A. F. Ulitko, and N. A. Shul’ga, Electroelasticity, Vol. 5 of the five-volume series Mechanics of Coupled Fields in Structural Members [in Russian], Naukova Dumka, Kyiv (1989).
R. M. Martynyak, N. I. Malanchuk, and B. E. Monastyrs’kyi, “Shear of compressed half-planes with a surface notch. Part 1. Full contact,” Fiz.-Khim. Mekh. Mater., 41, No. 2, 39–41 (2005).
B. E. Monastyrs’kyi, “Axisymmetric contact problem for half-spaces with a geometrically distorted surface,” Fiz.-Khim. Mekh. Mater., 35, No. 6, 22–26 (1999).
Yu. N. Podil’chuk and V. F. Tkachenko, “Contact electroelasticity problem for a nonplane elliptical die,” Int. Appl. Mech., 35, No. 6, 544–554 (1999).
Yu. N. Podil’chuk, “Exact analytical solutions of static electroelastic and thermoelectroelastic problems for a transversely isotropic body in curvilinear coordinate systems,” Int. Appl. Mech., 39, No. 2, 132–170 (2003).
L. A. Galin (ed.), Development of the Theory of Contact Problems in the USSR [in Russian], Nauka, Moscow (1976).
N. A. Shul’ga, “Wave potentials in the electroelasticity of piezoceramic materials,” Teor. Prikl. Mekh., 15, 73–76 (1984).
W. Q. Chen, C. W. Lim, and H. J. Ding, “Point temperature solution for penny-shaped crack in an infinite transversely isotropic thermo-piezo-elastic medium,” Eng. Anal. Bound. Elem., 29, No. 6, 524–532 (2005).
X. F. Li and K. Y. Lee, “Three-dimensional electroelastic analysis of a piezoelectric material with a penny-shaped dielectric crack,” J. Appl. Mech., 71, No. 6, 866–877 (2004).
H. J. Ding, P. F. Hou, and F. L. Guo, “The elastic and electric fields for three-dimensional contact for transversely isotropic piezoelectric materials,” Int. J. Solids Struct., 37, No. 23, 3201–3229 (2000).
S. A. Kaloerov and O. A. Sorochan, “Plane problem of thermoelectromagnetoelasticity for multiply connected bodies,” Int. Appl. Mech., 45, No. 4, 413–423 (2009).
V. S. Kirilyuk, “On the stress state of a piezoceramic body with a flat crack under symmetric loads,” Int. Appl. Mech., 41, No. 11, 1263–1271 (2005).
V. S. Kirilyuk, “On the relationship between the solutions of static contact problems of elasticity and electroelasticity for a half-space,” Int. Appl. Mech., 42, No. 11, 1256–1269 (2006).
V. S. Kirilyuk, “Stress state of a piezoceramic body with a plane crack opened by a rigid inclusion,” Int. Appl. Mech., 44, No. 7, 757–768 (2008).
V. S. Kirilyuk and O. I. Levchuk, “Indentation of punches into a piezoceramic body: Two-dimensional contact problem of electroelasticity,” Int. Appl. Mech., 44, No. 11, 1244–1257 (2008).
T. Y. Zhang and C. F. Gao, “Fracture behaviors of piezoelectric materials,” Theor. Appl. Fract. Mech., 41, No. 1–3, 339–379 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 46, No. 4, pp. 38–48, April 2010.
Rights and permissions
About this article
Cite this article
Kirilyuk, V.S., Levchuk, O.I. Contact interaction of two compressed electroelastic half-spaces. Int Appl Mech 46, 400–409 (2010). https://doi.org/10.1007/s10778-010-0321-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-010-0321-5