Page 101 - Handbook of Adhesives and Sealants
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Theories of Adhesion  69


            served between these two angles, the most common cause is the en-
            trapment of liquid in the valleys and pores of the surface as the liquid
            advances over it. When the liquid recedes, the surface uncovered usu-
            ally includes wet areas. For this reason   is smaller than   . However,
                                                  R
                                                                   A
            when extreme care is used in preparing clean, sufficiently smooth sur-
            faces, no differences are found. Wenzel 15  noticed that the apparent or
            measured contact angle (  ) between the liquid and the surface of the
            solid and the true contact angle ( ) between the liquid and the surface
            follow the relationship:

                                            cos
                                        r
                                            cos

            where r is a measure of roughness (r   1.0 for smooth surface and
            generally r   1.5 to 3.0 for machined and ground metal surfaces). Here
               can be thought of as the contact angle between the liquid and its
            envelope to the solid surface, and   is the contact angle between the
            liquid and the surface at the air-liquid-solid contact boundary. Since
            most organic liquids exhibit contact angles of less than 90 degrees on
            clean polished metals, the effect of roughening the surface is to make
                  . Thus, wetting is improved, and the resulting joint strength is
            positively affected by the roughening. However, when the surface is
            wet by a liquid with a contact angle greater than 90 degrees, then the
            effect of roughening is to make        and to reduce wetting.
              This effect is evident when trying to bond a low energy surface, such
            as polyethylene, with an epoxy adhesive. Without surface preparation,
            the contact angle that the liquid epoxy makes on the polyethylene is
            greater than 90 degrees. Therefore, epoxy adhesive joints made by
            roughening the surface of polyethylene will be weaker than joint
            strengths made with a non-roughened surface. This is sometimes dis-
            concerting to those accustomed to bonding metal surfaces. With metal
            surfaces, most adhesives make contact angles less than 90 degrees,
            and surface roughening is usually, and correctly, looked upon as a pos-
            sible way of improving joint strength. However, with untreated poly-
            ethylene, the effect is just the opposite—exactly what is not wanted.


            2.4.2  Setting or solidification
            When a liquid adhesive or sealant solidifies, the loss in joint strength
            is much greater than simply the loss of contact area due to the con-
            siderations noted above. On setting or curing, there can be possible
            reductions in adhesive strength due to:

            1. Localized stress concentration points at the interface
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