Adhesive tangential impact without slip of a rigid sphere and a power-law graded elastic half-space: Numerical analysis based on the Method of Dimensionality Reduction

被引：0

作者：

Willert, E. ^{[1
]}

Popov, V. L. ^{[1
,2
,3
]}

机构：

[1] Berlin Univ Technol, D-10623 Berlin, Germany

[2] Natl Res Tomsk State Univ, Tomsk 634050, Russia

[3] Natl Res Tomsk Polytech Univ, Tomsk 634050, Russia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2017年 / 97卷 / 07期

关键词：

Oblique elastic impacts; JKR-theory; power-law graded elastic half-space; no-slip; Method of Dimensionality Reduction; CONTACT; MECHANICS; MODEL; INDENTATION; BEHAVIOR; SOLIDS; ENERGY;

D O I：

10.1002/zamm.201700017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The JKR-adhesive impact of a rigid sphere on a power-law graded half space is studied analytically and numerically under the assumptions of elastic similarity, no-slip and quasi-stationarity. The coefficient of normal restitution is determined analytically. The tangential problem is solved by a numerical algorithm based on the Method of Dimensionality Reduction. The tangential coefficient of restitution is depending on only two properly chosen dimensionless parameters. Thereby the presence of only very weak adhesion severely changes the tangential restitution of the sphere. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：872 / 878

页数：7

共 16 条

[1] The oblique impact of a rigid sphere on a power-law graded elastic half-space
Willert, E.
Popov, V. L.
MECHANICS OF MATERIALS, 2017, 109 : 82 - 87
[2] Adhesive impact of an elastic sphere with an elastic half space: Numerical analysis based on the method of dimensionality reduction
Lyashenko, I. A.
Willert, E.
Popov, V. L.
MECHANICS OF MATERIALS, 2016, 92 : 155 - 163
[3] Adhesive contact of a power-law graded elastic half-space with a randomly rough rigid surface
Jin, Fan
Zhang, Wei
Wan, Qiang
Guo, Xu
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2016, 81 : 244 - 249
[4] Mechanics of adhesive contact on a power-law graded elastic half-space
Chen, Shaohua
Yan, Cong
Zhang, Peng
Gao, Huajian
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (09) : 1437 - 1448
[5] Non-slipping adhesive contact of a rigid cylinder on an elastic power-law graded half-space
Jin, Fan
Guo, Xu
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2010, 47 (11-12) : 1508 - 1521
[6] Numerical analysis on the adhesive contact between a rigid power-law shaped axisymmetric asperity and an elastic half-space
Wu, Jiunn-Jong
JOURNAL OF ADHESION SCIENCE AND TECHNOLOGY, 2022, 36 (02) : 195 - 219
[7] Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
Lyashenko, I. A.
Popov, V. L.
SCIENTIFIC REPORTS, 2015, 5
[8] Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
I. A. Lyashenko
V. L. Popov
Scientific Reports, 5
[9] A Unified Treatment of Axisymmetric Adhesive Contact on a Power-Law Graded Elastic Half-Space
Jin, Fan
Guo, Xu
Zhang, Wei
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2013, 80 (06):
[10] A unified treatment of axisymmetric adhesive contact on a power-law graded elastic half-space
Guo, X. (guoxu@dlut.edu.cn), 1600, American Society of Mechanical Engineers (ASME), United States (80):

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