In this paper, the electromechanical response of piezoelectric coating-functionally graded piezoelectric (FGP) interfacial layer–piezoelectric substrate system under the rigid spherical punch is considered. It is assumed that the piezoelectric coating and piezoelectric substrate are connected by the FGP interfacial layer which is simulated by a multi-layer model. The axisymmetric frictionless contact problem of piezoelectric coating–substrate system with FGP interfacial layer is formulated in terms of singular integral equation with the method of transfer matrix and Hankel integral transform technique. The effect of the gradient of material properties on the stress components and electric displacement components in piezoelectric coating–substrate system is gained by solving the equation numerically. The present results could serve as a useful reference for the design of piezoelectric coating–substrate system.
PawanKSurajPH. Static and vibration response analysis of sigmoid function-based functionally graded piezoelectric non-uniform porous plate. J Intel Mater Syst Struct2022; 33(17): 2197–2227.
3.
JorgensenOGiannakopoulosAESureshS. Spherical indentation of composite laminates with controlled gradients in elastic anisotropy. Int J Solid Struct1998; 35: 5097–5113.
4.
MonfaredMMPourseifiMBagheriR. Computation of mixed mode stress intensity factors for multiple axisymmetric cracks in an FGM medium under transient loading. Int J Solid Struct2019; 158: 220–231.
5.
AfsharHBagheriR. Several embedded cracks in a functionally graded piezoelectric strip under dynamic loading. Comput Math Appl2018; 76(3): 534–550.
6.
AyatollahiMBagheriRNourazaM, et al. Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating. Appl Math Comput2017; 293: 394–403.
7.
HejaziAAyatollahiMBagheriR, et al. Dislocation technique to obtain the dynamic stress intensity factors for multiple cracks in a half-plane under impact load. Archiv Appl Mech2014; 84(1): 95–107.
8.
BagheriRAyatollahiM. Multiple moving cracks in a functionally graded strip. Appl Math Model2012; 36: 4677–4686.
9.
FallahnejadMBagheriRNorooziM. Transient analysis of two dissimilar FGM layers with multiple interface cracks. Struct Eng Mech2018; 67(3): 277–281.
10.
BagheriRNorooziM. The linear steady state analysis of multiple moving cracks in a piezoelectric half-plane under in-plane electro-elastic loading. Theor Appl Fract Mech2018; 96: 334–351.
11.
BagheriRAyatollahiMMirzaeiAM, et al. Multiple defects in a piezoelectric half-plane under electro-elastic in-plane loadings. Theor Appl Fract Mech2019; 103: 102316.
12.
HosseiniSMBagheriRMonfaredMM. Transient response of several cracks in a nonhomogeneous half-layer bonded to a magneto-electro-elastic coating. Theor Appl Fract Mech2020; 110: 102821.
13.
JafariAMonfaredMMBagheriR. Mixed-mode computation of the transient dynamic stress intensity factor for multiple interface cracks. J Brazil Soc Mech Sci Eng2019; 41(12): 573.
14.
BagheriRHassaniA. Crack analysis of circular bars reinforced by a piezoelectric layer under torsional transient loading. Archiv Appl Mech2019; 89(8): 1555–1578.
15.
LiuTJXingYM. Stress analysis for bonded materials with a graded interfacial layer under a rigid punch. Mech Adv Mater Struct2016; 23(10): 1163–1172.
16.
LiuTJWangYSXingYM. The axisymmetric contact problem of a coating/substrate system with a graded interfacial layer under a rigid spherical punch. Math Mech Solid2016; 21(3): 383–399.
17.
LiuTJKeLLWangYS, et al. Stress analysis for an elastic semispace with surface and graded layer coatings under induced torsion. Mech Based Design Struct Mach2015; 43(1): 74–94.
18.
ZhuXHZhuJMZhouSH, et al. Microstructures of the monomorph piezoelectric ceramic actuators with functionally gradient. Sens Actuat A: Phys1999; 74(1–3): 198–202.
19.
UedaS. Functionally graded piezoelectric strip with a penny-shaped crack under electromechanical loadings. Europ J Mech A Solid2008; 27: 50–60.
20.
KeLLYangJKitipornchaiS. Electromechanical frictionless contact behavior of a functionally graded piezoelectric layered half-plane under a rigid punch. Int J Solid Struct2008; 45: 3313–3333.
21.
KeLLYangJKitipornchaiS, et al. Frictionless contact analysis of a functionally graded piezoelectric layered half-plane. Smart Mater Struct2008; 17: 025003.
22.
KeLLWangYSKitipornchaiS, et al. Sliding frictional contact analysis of functionally graded piezoelectric layered half-plane. Acta Mech2010; 209: 249–268.
23.
LiuTJZhangCWangYS. Analysis of axisymmetric indentation of functionally graded piezoelectric coating or substrate systems under an insulator indenter. J Intel Mater Syst Struct2017; 28(1): 23–34.
24.
SuJKeLLWangYS. Axisymmetric frictionless contact of a functionally graded piezoelectric layered half-space under a conducting punch. Int J Solid Struct2016; 90: 45–59.
25.
SuJKeLLWangYS. The axisymmetric torsional contact problem of a functionally graded piezoelectric coated half-space. Acta Mechanica Sinica2017; 33(2): 406–414.
26.
OzturkMErdoganF. Axisymmetric crack problem in bonded materials with a graded interfacial zone. Int J Solid Struct1996; 33: 193–219.
27.
CivelekMB. The axisymmetric contact problem for an elastic layer on a frictionless half-space. PhD Thesis, Mechanical Engineering Department, Lehigh University, Bethlehem, PA, 1972.
28.
GiannakopoulosAESureshS. Theory of indentation of piezoelectric materials. Acta Mater1999; 47(7): 2153–2164.
