For convenient characterization of the roughness of the interface between two different piezoelectric/piezomagnetic materials (PPMs), a wavy contact model is developed. Eight potential functions are proposed, which makes the considered mixed boundary values problems mathematically tractable. Important physical objectives, such as the unknown contact region and surface normal stress, are presented explicitly. Results in a special case, full contact, are offered. Figures are plotted to show the effects of the piezoelectric phase volume fraction and the external loading on the interactions between two different PPMs. Numerical test reveals that enhancing the piezoelectric phase volume fraction produces a wider contact region.
Issue Section:
Research Papers
References
1.
Nan
, C. W.
, Bichurin
, M. I.
, Dong
, S. X.
, Viehland
, D.
, and Srinivasan
, G.
, 2008
, “Multiferroic Magnetoelectric Composites: Historical Perspective, Status, and Future Directions
,” J. Appl. Phys.
, 103
(3), p. 031101
.10.1063/1.28364102.
Ma
, J.
, Hu
, J. M.
, Li
, Z.
, and Nan
, C. W.
, 2011
, “Recent Progress in Multiferroic Magnetoelectric Composites: From Bulk to Thin Films
,” Adv. Mater.
, 23
(9
), pp. 1062
–1087
.10.1002/adma.2010036363.
Zhang
, J. X.
, Dai
, J. Y.
, Lu
, W.
, Chan
, H. L. W.
, Wu
, B.
, and Li
, D. X.
, 2008
, “A Novel Nanostructure and Multiferroic Properties in Pb(Zr0.52Ti0.48)O3/CoFe2O4 Nanocomposite Films Grown by Pulsed-Laser Deposition
,” J. Phys. D: Appl. Phys.
, 41
(23), p. 235405
.10.1088/0022-3727/41/23/2354054.
Bichurin
, M. I.
, Petrov
, V. M.
, and Petrov
, R. V.
, 2012
, “Direct and Inverse Magnetoelectric Effect in Layered Composites in Electromechanical Resonance Range: A Review
,” J. Magn. Magn. Mater.
, 324
(21), pp. 3548
–3550
.10.1016/j.jmmm.2012.02.0865.
Sreenivasulu
, G.
, Fetisov
, L. Y.
, Fetisov
, Y. K.
, and Srinivasan
, G.
, 2012
, “Piezoelectric Single Crystal Langatate and Ferromagnetic Composites: Studies on Low-Frequency and Resonance Magnetoelectric Effects
,” Appl. Phys. Lett.
, 100
(5), p. 052901
.10.1063/1.36796616.
Srinivasan
, G.
, Hayes
, R.
, and Bichurin
, M. I.
, 2003
, “Low Frequency and Microwave Magnetoelectric Effects in Thick Film Heterostructures of Lithium Zinc Ferrite and Lead Zirconate Titanate
,” Solid State Commun.
, 128
(6–7), pp. 261
–266
.10.1016/S0038-1098(03)00727-07.
Hao
, F.
, Pei
, Y. M.
, and Fang
, D. N.
, 2013
, “The Effects of Interface Misfit Strain and Surface Tension on Magnetoelectric Effects in Layered Magnetostrictive-Piezoelectric Composites
,” J. Appl. Phys.
, 114
(4), p. 044109
.10.1063/1.48166938.
Piliposyan
, D.
, 2012
, “Shear Surface Waves at the Interface of Two Magneto-Electro-Elastic Media
,” Multidiscip. Model. Mater. Struct.
, 8
(3), pp. 417
–426
.10.1108/157361012112691869.
Zhong
, Z.
, and Meguid
, S. A.
, 1997
, “On the Elastic Field of a Spherical Inhomogeneity With an Imperfectly Bonded Interface
,” J. Elasticity
, 46
(2
), pp. 91
–113
.10.1023/A:100734260510710.
Fabrikant
, V. I.
, 1989
, Applications of Potential Theory in Mechanics
, Kluwer Academic
, Dordrecht
.11.
Fabrikant
, V. I.
, 1991
, Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering
, Kluwer Academic
, Dordrecht
.12.
Su
, R. K. L.
, Feng
, W. J.
, and Liu
, J.
, 2007
, “Transient Response of Interface Cracks Between Dissimilar Magneto-Electro-Elastic Strips Under Out-of-Plane Mechanical and In-Plane Magneto-Electrical Impact Loads
,” Compos. Struct.
, 78
(1), pp. 119
–128
.10.1016/j.compstruct.2005.08.01713.
Gao
, C. F.
, and Noda
, N.
, 2004
, “Thermal-Induced Interfacial Cracking of Magnetoelectroelastic Material
,” Int. J. Eng. Sci.
, 42
(13–14), pp. 1347
–1360
.10.1016/j.ijengsci.2004.03.00514.
Ma
, P.
, Feng
, W. J.
, and Su
, R. K. L.
, 2011
, “Fracture Assessment of an Interface Crack Between Two Dissimilar Magnetoelectroelastic Materials Under Heat Flow and Magnetoelectromechanical Loadings
,” Acta Mech. Solida Sin.
, 24
(5
), pp. 429
–438
.10.1016/S0894-9166(11)60042-615.
Chen
, W. Q.
, Pan
, E.
, Wang
, H. M.
, and Zhang
, C. Z.
, 2010
, “Theory of Indentation on Multiferroic Composite Materials
,” J. Mech. Phys. Solids
, 58
(10
), pp. 1524
–1551
.10.1016/j.jmps.2010.07.01216.
Zhou
, Y. T.
, and Lee
, K. Y.
, 2012
, “Contact Problem for Magneto-Electro-Elastic Half-Plane Materials Indented by a Moving Punch. Part I: Closed-Form Solutions
,” Int. J. Solids Struct.
, 49
(26), pp. 3853
–3865
.10.1016/j.ijsolstr.2012.08.01717.
Zhou
, Y. T.
, and Lee
, K. Y.
, 2012
, “Contact Problem for Magneto-Electro-Elastic Half-Plane Materials Indented by a Moving Punch. Part II: Numerical Analysis
,” Int. J. Solids Struct.
, 49
(26
), pp. 3866
–3882
.10.1016/j.ijsolstr.2012.08.01818.
Zhou
, Y. T.
, and Zhong
, Z.
, 2014
, “Application of Dual Series Equations Approach to Wavy Contact Between Piezoelectric Materials and an Elastic Solid
,” ASME Int. J. Appl. Mech.
, 6
(4), p. 1450046
.10.1142/S175882511450046X19.
Guan
, Q.
, and He
, S. R.
, 2005
, “Two-Dimensional Analysis of Piezoelectric/Piezomagnetic and Elastic Media
,” Compos. Struct.
, 69
(2
), pp. 229
–237
.10.1016/j.compstruct.2004.07.00520.
Zhou
, Z. G.
, Zhang
, P. W.
, and Wu
, L. Z.
, 2007
, “The Closed Form Solution of a Mode-I Crack in the Piezoelectric/Piezomagnetic Materials
,” Int. J. Solids Struct.
, 44
(2
), pp. 419
–435
.10.1016/j.ijsolstr.2006.04.03521.
Dundurs
, J.
, Tsai
, K. C.
, and Keer
, L. M.
, 1973
, “Contact Between Elastic Bodies With Wavy Surfaces
,” J. Elasticity
, 3
(2
), pp. 109
–115
.10.1007/BF00045817Copyright © 2015 by ASME
You do not currently have access to this content.