TY - JOUR
T1 - An effective method for the sliding frictional contact of a conducting cylindrical punch on FGPMs
AU - Su, Jie
AU - Ke, Liao-Liang
AU - El-Borgi, Sami
AU - Xiang, Yang
AU - Wang, Yue-Sheng
PY - 2018
Y1 - 2018
N2 - This paper presents an effective method to solve the sliding frictional contact between a rigid conducting cylindrical punch and a functionally graded piezoelectric coated half-plane. The electro-mechanical properties of the functionally graded piezoelectric materials (FGPMs) are position dependent along the thickness direction in the form of an exponential function against the thickness coordinate. A constant surface electric potential is assumed for the punch and the friction is of the Coulomb type. Using the superposition theorem and the Fourier integral transform, the present problem is reduced to a set of coupled Cauchy singular integral equations. These integral equations are then numerically discretized to form an overdetermined system which may lead to a non-unique solution for the conducting cylindrical punch problem. By using the least squares method together with an iterative procedure, the overdetermined algebraic equations are effectively solved to obtain the optimal solution. The effects of the friction coefficient and gradient index on the surface electro-mechanical fields are discussed.
AB - This paper presents an effective method to solve the sliding frictional contact between a rigid conducting cylindrical punch and a functionally graded piezoelectric coated half-plane. The electro-mechanical properties of the functionally graded piezoelectric materials (FGPMs) are position dependent along the thickness direction in the form of an exponential function against the thickness coordinate. A constant surface electric potential is assumed for the punch and the friction is of the Coulomb type. Using the superposition theorem and the Fourier integral transform, the present problem is reduced to a set of coupled Cauchy singular integral equations. These integral equations are then numerically discretized to form an overdetermined system which may lead to a non-unique solution for the conducting cylindrical punch problem. By using the least squares method together with an iterative procedure, the overdetermined algebraic equations are effectively solved to obtain the optimal solution. The effects of the friction coefficient and gradient index on the surface electro-mechanical fields are discussed.
KW - friction
KW - functionally gradient materials
KW - least squares
KW - piezoelectric materials
UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:46233
U2 - 10.1016/j.ijsolstr.2018.02.017
DO - 10.1016/j.ijsolstr.2018.02.017
M3 - Article
SN - 0020-7683
VL - 141-142
SP - 127
EP - 136
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
ER -