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Indentation theory on orthotropic materials subjected to a frictional moving punch

Zhou Y. T., Lee K. Y., Jang Y. H.

Archives of Mechanics

2014

Vol. 66, nr 2

71--94

The present article establishes a general theory of frictional moving contact of orthotropic materials indented by a moving rigid punch with various punch profiles. The punch moves to the right or left at a constant speed with the shear stress arising inside the contact region. The motion should be subsonic. By using Galilean transformation and Fourier transform, a singular integral equation of the second kind is obtained, solution of which has a non-square-root or unconventional singularity. Numerical results are presented to show the influences of relative moving velocity and the friction coefficient on surface in-plane stress for each case of the four types of punches, which demonstrates that the surface crack initiation and propagation in load transfer components more likely occur at the trailing edge. The present theory provides a basis for explaining the surface damage mechanism of orthotropic materials under an indentation loading and for exploiting the physics behind the different punch profiles.

Influences of the moving velocity and material property on frictionless contact problem of orthotropic materials indented by a moving punch

Zhou Y. T., Lee K. Y., Jang Y. H.

Archives of Mechanics

2013

Vol. 65, nr 3

195--217

In analyzing the contact behavior of a material indented by a moving punch, of much importance are the contributions of the moving velocity and material property. The present paper develops a smoothly moving contact model for orthotropic materials indented by a rigid punch. Based on fundamental solutions of each eigenvalue case, the mixed boundary-value problem is reduced to a Cauchy type singular integral equation by applying the Galilean transformation and Fourier transform. Particularly, the exact solution of the obtained singular integral equation is presented, and closed-form expressions of the physical quantities are given for a flat punch and a cylindrical punch. Figures are plotted to show the influences of the moving velocity, material properties and other loadings on the contact behaviors and to reveal the surface damage mechanism, which may provide useful guidelines for material’s designing and optimization.