Standard methods of beam indentation analysis use a beam theory solution to obtain the load-displacement relationship and a Hertz solution to calculate local stresses. However, when the contact length exceeds the thickness of the beam point contact can no longer be assumed and Hertzian relations are no longer valid. This paper presents an improved superposition solution technique that uses a true elasticity solution to obtain the load-displacement relationship in non-Hertzian indentation problems.
Smooth Asymmetric Two-Dimensional Indentation of a Finite Elastic Beam
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received and accepted by the ASME Applied Mechanics Division, May 31, 2000; final revision, Oct. 10, 2000. Associate Editor: M.-J. Pindera.
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Zhou , M., and Schonberg , W. P. (May 31, 2000). "Smooth Asymmetric Two-Dimensional Indentation of a Finite Elastic Beam ." ASME. J. Appl. Mech. March 2001; 68(2): 357–360. https://doi.org/10.1115/1.1352068
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