Dupre

Equation X-17 was stated in qualitative form by Young in 1805 [30], and we will follow its designation as Young s equation. The equivalent equation, Eq. X-19, was stated in algebraic form by Dupre in 1869 [31], along with the definition of work of adhesion. An alternative designation for both equations, which are really the same, is that of the Young and Dupre equation (see Ref. 32 for an emphatic dissent). 

Dupre C, Lahmam-Bennani A and Duguet A 1991 About some experimental aspeots of double and triple ooinoidenoe teohniques to study eleotron impaot double ionizing prooesses Meas. Sol. Technol. 2 327... 

By relating the work required to force a volume dp" of mercury into the pore of a solid to the work required to form an element d/4 of mercury-solid interface, and making use of the Young-Dupre equation (3.70) one arrives at the expression... 

Methods of Measurement Methods of characterizing the rate process of wetting include four approaches as illustrated in Table 20-37. The first considers the ability of a drop to spread across the powder. This approach involves the measurement of a contact angle of a drop on a powder compact. The contact angle is a measure of the affinity of the fluid for the solid as given by the Young-Dupre equation, or... 

Substitution of Eq. 3 into Eq. 1 leads to the Young-Dupre equation ... 

Combination of Eq. 7 or Eq. 8 with the Young-Dupre equation, Eq. 3, suggests that the mechanical work of separation (and perhaps also the mechanical adhesive interface strength) should be proportional to (I -fcos6l) in any series of tests where other factors are kept constant, and in which the contact angle is finite. This has indeed often been found to be the case, as documented in an extensive review by Mittal [31], from which a few results are shown in Fig. 5. Other important studies have also shown a direct relationship between practical and thermodynamic adhesion, but a discussion of these will be deferred until later. It would appear that a useful criterion for maximizing practical adhesion would be the maximization of the thermodynamic work of adhesion, but this turns out to be a serious over-simplification. There are numerous instances in which practical adhesion is found not to correlate with the work of adhesion at ail, and sometimes to correlate inversely with it. There are various explanations for such discrepancies, as discussed below. 

The van der Waals and other non-covalent interactions are universally present in any adhesive bond, and the contribution of these forces is quantified in terms of two material properties, namely, the surface and interfacial energies. The surface and interfacial energies are macroscopic intrinsic material properties. The surface energy of a material, y, is the energy required to create a unit area of the surface of a material in a thermodynamically reversible manner. As per the definition of Dupre [14], the surface and interfacial properties determine the intrinsic or thermodynamic work of adhesion, W, of an interface. For two identical surfaces in contact ... 

Tobolsky, A. V. and DuPre, D. B. Macromolecular Relaxation in the Damped Torsional Oscillator and Statistical Segment Models. Vol. 6, pp. 103 — 127. 

The equation is usually called Dupres, or Rankine s, formula. 

Manometric Stability Tests. Based on press measurements developed by gases formed on decompn of ex pis. Am on this group of tests are (1) Brame s Method, (2) Chiaraviglio and Corbino Method, (3) Desmaroux Method, (4) Dupre s-Vacuum Test, (5) Farmer s Vacuum Stability Test, (6) Haid, Becker Dittmar Test, (7) Meerscheidt-Hullassem s Test, (8) Mittasch s Method, (9) Obermuller s Method, and (10) Talliani Test... 

It should be noted that nearly simultaneously with Obemuiller, A. Dupre invented a very simi lar method (Ref 8, p 245), and that Taliani s method [GazzChimltal 51, I, 184 (1921)] can be considered an improvement over that of Obermtiller... 

The first systematic study of metallic picrates seems to have been done in 1901 by Dupre... 

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