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Chapter VIII Micro-hardness studies… 8.7 Proportional Specimen Resistance (PSR) model Bradt [15] explained the ISE with the help of the general model i.e. “Proportional Specimen Resistance” (PSR). According to PSR model micro- hardness can be described with two components, which are the frictional forces between the test specimen and the indenter faces and the elastic resistance of the test specimen. The indentation load P is related to indentation size d, as, P = a1d + a2d 2 309 (8.12) Where, the coefficient a1 is contribution of proportional specimen resistance to apparent micro-hardness and a2 coefficient is related to the load independent micro-hardness or load independent constant. The parameter a1 characterizes the load dependence of hardness [15] and it is suggested that the a1/a2 can be considered as measure of the residual stress and these are connected with defect. The term a1d has been attributed to the specimen surface energy [86], the deformed surface layer [87], the indenter edges acting as plastic hinges [88] and the proportional specimen resistance [15, 89]. Modifying equation (8.12), P/d = a1 + (Pc / d0 2 ) d (8.13) Where, Pc is the critical applied test load above which micro-hardness become load independent and do is the corresponding diagonal length of the indentation. The applicability of the PSR model to describe the observed ISE in relatively wide range of applied test loads can be examined by the linearity between P/d and d. The term a2 is not related to ISE. Rather, it is related to the load independent micro-hardness and is equal to Pc/d0 2 [90]. Plot of P/d
Chapter VIII Micro-hardness studies… versus d should be a straight line and its slope which gives the value of load independent hardness. Applying PSR model to pure and doped KDP crystals, it has been observed that, a plot of P/d versus d gives a straight line as shown in figure (8.8). This linear relation confirms that PSR model is applicable in these samples. 310
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Saurashtra University Re - Accredit
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Statements Under O. Ph.D.7 of Saura
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ACKNOWLEDGEMENT The author expresse
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in-law, Mother- in -law and all oth
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of NLO materials in rapidly develop
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doped samples in comparison to the
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micro-hardness decreases. Also, as
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Papers Published in National and In
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Seminar on Recent Advances in Conde
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Chapter II Solution Growth…. Tabl
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Chapter III CHN Analysis, FT IR …
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