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Chapter VIII Micro-hardness studies…<br />

time a measure of intrinsic bonding of the material [4]”. “There are clear<br />

connections between chemical bonding, hardness and dislocation mobility<br />

[5]”. The precise definition of hardness depends entirely on the method of<br />

measurement [6]. Resistance to the movement of dislocations will determine<br />

the hardness of the materials [7].The above quotes suggest a complexity in<br />

defining the hardness.<br />

For quite some time, only metallurgists and mineralogists were<br />

interested in hardness. However, in the last several decades, physicists and<br />

chemists also have involved themselves in studies of hardness. Discussion of<br />

various aspects of hardness and data on a large number of materials are<br />

found in books [3-6], compilations [7-13] and also in several articles strewn<br />

over many scientific journals.<br />

Several methods are available for the measurement of hardness. Shaw<br />

[11] has listed various hardness tests and categorized them. Nevertheless,<br />

the most commonly used form of measuring hardness of sample is the<br />

indentation type. An elaborate description of these methods, with their relative<br />

merits and demerits, is given in the books by Tabor [3] and Mott [6]. In order to<br />

describe the ISE (Indentation Size Effect) and RISE (Reverse Indentation<br />

Size Effect) behaviors of materials, several models for relation between<br />

applied indentation test load and indentation diagonal length have been<br />

reported in the literature [3] and in this chapter it has been explained with the<br />

help of Meyer’s law [6] and Kick’s law [13], Hays and Kendall’s [14] approach<br />

and Proportional Specimen Resistance (PSR) model proposed by Li and<br />

Bradt [15].<br />

284

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