Premium
Adhesive tangential impact without slip of a rigid sphere and a power‐law graded elastic half‐space
Author(s) -
Willert E.,
Popov V. L.
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700017
Subject(s) - dimensionless quantity , coefficient of restitution , power law , restitution , slip (aerodynamics) , mechanics , adhesive , mathematical analysis , half space , mathematics , spheres , law , classical mechanics , physics , materials science , composite material , thermodynamics , statistics , layer (electronics) , astronomy , political science
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.