Rolling/sliding of a Linear Elastic Body on a Deformable Layered Substrate
Abstract
We analyze a three-dimensional frictional contact problem between a homogeneous and isotropic linear elastic body and a substrate consisting of a homogeneous and isotropic linear elastic half-space coated with a transversely isotropic elastic layer. The problem formulation includes the kinematics of the body, including its rolling/sliding on the substrate. Expressions relating the displacements of a point on the contact surface to the surface tractions acting there have been derived. We have also proposed a variational problem for the determination of surface tractions at points of the contact surface. An example problem involving the motion of a homogeneous spherical rigid ball on a substrate made of a homogeneous thin layer of a linear elastic material and bonded to a rigid base is studied. It is shown that there can be at most one adhesion zone followed by a slipping zone. Numerical results illustrating the dependence of the slip velocity upon the resultant frictional force are also presented graphically. © 1994.
Recommended Citation
A. Spector and R. C. Batra, "Rolling/sliding of a Linear Elastic Body on a Deformable Layered Substrate," International Journal of Non-Linear Mechanics, vol. 29, no. 3, pp. 335 - 348, Elsevier, Jan 1994.
The definitive version is available at https://doi.org/10.1016/0020-7462(94)90006-X
Department(s)
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
0020-7462
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Jan 1994
