Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch

被引：4

作者：

Lyu, Xin ^{[1
]}

Ke, Liaoliang ^{[1
]}

Tian, Jiayong ^{[2
]}

Su, Jie ^{[1
]}

机构：

[1] Tianjin Univ, Sch Mech Engn, Tianjin 300350, Peoples R China

[2] Minist Emergency Management China, Natl Inst Nat Hazards, Beijing 100085, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2022年 / 43卷 / 08期

基金：

中国国家自然科学基金;

关键词：

contact vibration; functionally graded material (FGM); spherical punch; perturbation method; O322; SLOW VERTICAL MOTIONS; FRICTIONLESS INDENTATION; DYNAMIC INDENTATION; PLANE; LAYER; ADHESIVE; INDENTER; WEDGE;

D O I：

10.1007/s10483-022-2885-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials (FGMs) subject to a rigid spherical punch. A static force superimposing a dynamic time-harmonic force acts on the rigid spherical punch. Firstly, we give the static contact problem of FGMs by a least-square fitting approach. Next, the dynamic contact pressure is solved by employing the perturbation method. Lastly, the dynamic contact stiffness with different dynamic contact displacement conditions is derived for the FGM coated half-space. The effects of the gradient index, coating thickness, internal friction, and punch radius on the dynamic contact stiffness factor are discussed in detail.

引用

页码：1187 / 1202

页数：16

共 50 条

[1] Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch
Xin LYU
Liaoliang KE
Jiayong TIAN
Jie SU
AppliedMathematicsandMechanics(EnglishEdition), 2022, 43 (08) : 1187 - 1202
[2] Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch
Xin Lyu
Liaoliang Ke
Jiayong Tian
Jie Su
Applied Mathematics and Mechanics, 2022, 43 : 1187 - 1202
[3] Axisymmetric contact vibration analysis of a rigid spherical punch on a piezoelectric half-space
Lv, Xin
Ke, Liao-Liang
Su, Jie
Tian, Jia-Yong
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2021, 210 : 224 - 236
[4] Contact behaviors of a rigid punch and a homogeneous half-space coated with a graded layer
Peijian Chen
Shaohua Chen
Acta Mechanica, 2012, 223 : 563 - 577
[5] Contact behaviors of a rigid punch and a homogeneous half-space coated with a graded layer
Chen, Peijian
Chen, Shaohua
ACTA MECHANICA, 2012, 223 (03) : 563 - 577
[6] Penetration of a spherical conductive punch into a piezoelectric half-space with a functionally graded coating
Vasiliev, Andrey S.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2019, 142 : 230 - 241
[7] Axisymmetric frictionless contact of a functionally graded piezoelectric layered half-space under a conducting punch
Su, Jie
Ke, Liao-Liang
Wang, Yue-Sheng
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2016, 90 : 45 - 59
[8] On the problem of shear of a functionally graded half-space by a punch
Zelentsov, Vladimir
XIII INTERNATIONAL SCIENTIFIC-TECHNICAL CONFERENCE DYNAMIC OF TECHNICAL SYSTEMS (DTS-2017), 2017, 132
[9] Adhesive contact problem of functionally graded materials coated half-space
Liu, Tiejun
Wang, Yuesheng
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND MECHANICS 2007, VOLS 1 AND 2, 2007, : 864 - 868
[10] Axisymmetricial smooth contact problem of a functionally graded coated half-space
Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China
Guti Lexue Xuebao, 2007, 1 (49-54):

← 1 2 3 4 5 →