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50                                             Mechanisms of Adhesion Loss


            fraction of debonded particles increases because of an increase in the overlap of the stress
                                                           17
            fields caused by a reduced average interparticle separation.
            3.5 LIQUID PENETRATION

                                                        This  section  includes  continua-
                                                        tion of the discussion of delamina-
                                                        tion caused by the effect of water
                                                        with  a  focus  on  the  effects  of
                                                        moisture  concentration  at  the
                                                        interface. In the earlier studies of
                                                        adhesion loss due to the action of
                                                        environmental  factors,  the  funda-
                                                        mental  mechanisms  of  adhesion
                                                        loss at a critical relative humidity
                                                        was  studied  for  polymethyl-
                                                        methacrylate  by  combining  the
                                                        detailed  characterization  of  the
            Figure 3.4. Schematic diagram of the proposed mechanism of   moisture  distribution  within  the
            adhesion failure at the critical RH based upon coupled interfacial   film  and  the  adhesive  strength  of
            and bulk swelling effects. The water phase at the interface grows as   18
            the humidity is increased; this decreases the contact area between   joints.   Figure  3.4  illustrates  the
            the polymer and substrate (glass). The increase in bulk solubility at   proposed  mechanism  of  adhesion
            the critical RH leads to significant swelling. The interfacial water is   loss  due  to  the  water  penetration
            then compressed, but the difference in constraint between in-plane
            and out-of-plane expansion results in deformation of the water   and the figure caption outlines the
            phase, leading to a normal force that decreases the energy require-  details of the proposed mechanism
            ment for adhesive failure. [Adapted, by permission, from Tan, KT;   which, in essence, purports that at
            Vogt, BD; White, CC; Steffens, KL; Goldman, J; Satija, SK;
            Clerici, C; Hunston, DL, Langmuir, 24, 9189-93, 2008.]  the  critical  relative  humidity  the
                                                        amount  of  absorbed  water  at  the
                                                        interface  with  substrate  is  suffi-
                                                        cient  to  considerably  swell  poly-
                                                        mer matrix and to separate it from
                                                        the  interface  and,  thus,  diminish
                                                        the  surface  area  which  is  bonded
                                                                  18
                                                        to  the glass.  Several  years  later
                                                        the   same   group   conducted
                                                        research  on  the  same  subject  but
                                                        using 2 additional polymers (poly-
                                                        n-butylmethacrylate,  PBMA,  and
                                                        polyethylmethacrylate,  PEMA). 19
            Figure 3.5. The fracture energy, G c , for different polymers (PMMA
            , PEMA O, and PBMA ) on silica surfaces over a wide range of   The  direction  of  the  study  was
                                    o
            RH: blister tests were conducted at (23 C). Error bars represent two   similar  but  questions  to  answer
            standard deviations. [Adapted, by permission, from White, C;   were  more  focused  (what  deter-
            Tan, KT; Hunston, D; Steffens, K; Stanley, DL; Satija, SK;
            Akgun, B; Vogt, BD, Soft Matter, 11, 3994-4001, 2015.]  mines  the  critical  level  of  RH  at
                                                        which the adhesion strength drops
            for a particular system? how is the water distributed in the polymer at various RHs and is
            this directly related to the adhesion strength? what role, if any, is played by the bulk prop-
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