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Gerd Kaupp

Gerd Kaupp

University of Oldenburg, Germany

Title: Consequences of the Physical Foundation of the Exponent 3/2 in Pyramidal/Conical (Nano)Indentations for the Mechanical Parameters and for Daily Life

Biography

Biography: Gerd Kaupp

Abstract

The recently published physical foundation of the experimental exponent 3/2 for pyramidal indentations (validated since 2003 by the author, while ISO still dictates exponent 2 from textbooks and work of half a century) on the depth h in relation to normal force FN creates dilemma for industry and security agencies. They have to obey ISO standards with legal character, even though physics tells differently. Even NIST (US member of ISO) published 6 new mechanical parameters in a tutorial that continues distributing "false physics" using exponent 2. We must thus urgently try to change that situation, because falsely calculated mechanical properties severely harm all public in daily life, in medicine (implants with bone cements), and techniques. Material's compatibilities (including solders) and mechanical stress are ubiquitous, to name a few. Material's failures have been claimed as fatigue of materials, rather than calculations against physics. Errors are with finite element simulations always resulting with exponent 2, unnoticed phase transitions with their onset and energies, or surface effects. These are only recognized when applying exponent 3/2, but not by polynomial curve fittings, or "best exponent iterations". Almost all mechanical parameters require re-deduction on the basis of the correct exponent. ISO-hardness H and ISO-modulus Er are doubly flawed: they rely on the false exponent against physics and they often unconsciously characterize after phase transitions. All materials require genuine physical characterization! Thus, physical H, Er, and other parameters (adhesion energy, etc.) have to be deduced. This will be addressed upon, and we will find unexpected applications.