The canonical problems of rapid indentation by, respectively, a rigid smooth wedge and a rigid smooth cylinder, are examined for a transversely isotropic or orthotropic half-space in plane strain. An exact transient analysis based on integral transforms is carried out for the case of contact zone expansion at a constant subcritical rate. Certain functions in the transform space can be factored in such a manner that the resulting solutions, despite anisotropy, have rather simple forms. This factorization is also exploited to obtain a compact exact formula for the Rayleigh wave speed, which serves as the critical contact zone expansion rate. Aspects of contact zone behavior for the two problems are illustrated for five specific materials.
Rapid Indentation of Transversely Isotropic or Orthotropic Half-Spaces
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, October 2, 2000; final revision, December 16, 2000. Associate Editor: A. K. Mal. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Brock, L. M., Georgiadis, H. G., and Hanson, M. T. (December 16, 2000). "Rapid Indentation of Transversely Isotropic or Orthotropic Half-Spaces ." ASME. J. Appl. Mech. May 2001; 68(3): 490–495. https://doi.org/10.1115/1.1365154
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