Journal of Material Sciences & Engineering

Kaupp G

Publications

• Research Article
  Important Consequences of the Exponent 3/2 for Pyramidal/Conical Indentations-New Definitions of Physical Hardness and Modulus
  Author(s): Kaupp GKaupp G
  
  The now physically founded exponent 3/2 that governs the relation of normal force to depth3/2 in conical/pyramidal indentation is a physically founded (FN = k h3/2). Strictly linear plots obtain non-iterated penetration resistance k (mN/ μm3/2) as slope, initial effects (including tip rounding), adhesion energy, and phase transitions with their transformation energy and activation energy. The reason for the failing of the Sneddon theory, claiming wrong exponent 2 (as do ABAQUS or ANSYS finite element simulations) is their neglect of long-range effects by shearing. Previous undue trials to rationalize the non-occurrence of exponent 2 are polynomial fittings and "best or variable exponent" iterations for curve fittings that lose all unique information from the loading curve. Also ISO 14577 unloading hardness HISO and reduced elastic modulus Er-ISO lack physical reality. The.. Read More»
  DOI: 10.4172/2169-0022.1000285

  Abstract PDF