When studying analytically the penetration of an indenter of revolution into an elastic half-space use is commonly made of the fraction Because of this, only is determined from the indentation test, while the value of ν is usually assumed. However, as shown in the paper, if plastic deformation is involved during loading, the depth-load trajectory depends on the reduced modulus and, additionally, on the Poisson ratio explicitly. The aim of the paper is to show, with reference to a simple plasticity model exhibiting linear isotropic hardening, that the Poisson ratio can be determined uniquely from spherical indentation if the onset of plastic yield is known. To this end, a loading and at least two unloadings in the plastic regime have to be considered. Using finite element simulations, the relation between the material parameters and the quantities characterizing the depth-load response is calculated pointwise. An approximate inverse function represented by a neural network is derived on the basis of these data.
Determination of Poisson’s Ratio by Spherical Indentation Using Neural Networks—Part I: Theory
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, March 26, 1999; final revision, November 1, 2000. Associate Editor: K. T. Ramesh. 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.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Huber, N., Konstantinidis, A., and Tsakmakis, C. (November 1, 2000). "Determination of Poisson’s Ratio by Spherical Indentation Using Neural Networks—Part I: Theory ." ASME. J. Appl. Mech. March 2001; 68(2): 218–223. https://doi.org/10.1115/1.1354624
Download citation file:
- Ris (Zotero)
- Reference Manager