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
收藏
页码：872 / 878
页数：7
相关论文
共 13 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] 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
  • [4] 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
  • [5] 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
  • [6] 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
  • [7] Mechanics of non-slipping adhesive contact on a power-law graded elastic half-space
    Guo, Xu
    Jin, Fan
    Gao, Huajian
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2011, 48 (18) : 2565 - 2575
  • [8] 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):
  • [9] Impact of an elastic sphere with an elastic half space with a constant coefficient of friction: Numerical analysis based on the method of dimensionality reduction
    Willert, E.
    Popov, V. L.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2016, 96 (09): : 1089 - 1095
  • [10] A STUDY ON GROSS SLIP AND FRETTING WEAR OF THE CONTACTS INVOLVING A POWER-LAW GRADED ELASTIC HALF-SPACE
    Hess, Markus
    FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING, 2019, 17 (01) : 47 - 64
12