A novel test for the appraisal of solid/solid interfacial interactions

Abstract The Johnson, Kendall and Roberts (JKR) technique has been used with considerable success for assessing solid/solid interfacial interactions over the past 25 years or so. Nevertheless, the contact zone between the two spherical solids is often small and the energy of adhesion scales with the cube of the contact radius (at low load), thus potentially magnifying errors in adhesion assessment. The theoretical aspects of a novel technique are presented here, in which a hollow, slightly inflated, spherical membrane replaces a full sphere, and is placed in contact with a flat rigid solid. A judicious choice of experimental conditions should lead to increased contact radius and the energy of adhesion scales with its square (at low load), thus reducing possible errors. An added advantage is that the effective elasticity of the sphere depends on internal gas pressure. Thus surface and bulk effects are decoupled.

[1]  H. Brown,et al.  Molecular Weight Effects in Chain Pullout , 1994 .

[2]  A. Gent,et al.  Adhesion of viscoelastic materials to rigid substrates , 1969, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[3]  L. Girifalco,et al.  A Theory for the Estimation of Surface and Interfacial Energies. I. Derivation and Application to Interfacial Tension , 1957 .

[4]  Hans Dannenberg Measurement of adhesion by a blister method , 1961 .

[5]  D. Maugis,et al.  Fracture mechanics and the adherence of viscoelastic bodies , 1978 .

[6]  L. Girifalco,et al.  A THEORY FOR ESTIMATION OF SURFACE AND INTERFACIAL ENERGIES. III. ESTIMATION OF SURFACE ENERGIES OF SOLIDS FROM CONTACT ANGLE DATA , 1960 .

[7]  M. Shanahan,et al.  Physical adhesion of rubber to glass : cross-link density effects near equilibrium , 1991 .

[8]  A. Gent,et al.  Effect of Wetting Liquids on the Strength of Adhesion of Viscoelastic Material , 1972 .

[9]  F. Fowkes,et al.  DETERMINATION OF INTERFACIAL TENSIONS, CONTACT ANGLES, AND DISPERSION FORCES IN SURFACES BY ASSUMING ADDITIVITY OF INTERMOLECULAR INTERACTIONS IN SURFACES , 1962 .

[10]  M. Williams Cohesive-Adhesive Fracture in a Pressurized Double Blister , 1973 .

[11]  B. V. Derjaguin,et al.  Effect of contact deformations on the adhesion of particles , 1975 .

[12]  J. Ferry Viscoelastic properties of polymers , 1961 .

[13]  G. Whitesides,et al.  Direct measurement of interfacial interactions between semispherical lenses and flat sheets of poly(dimethylsiloxane) and their chemical derivatives , 1991 .

[14]  D. Maugis Adhesion of spheres : the JKR-DMT transition using a dugdale model , 1992 .

[15]  M. Chaudhury,et al.  Interfacial Lifshitz-van der Waals and polar interactions in macroscopic systems , 1988 .

[16]  K. Kendall,et al.  Surface energy and the contact of elastic solids , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[17]  J. Israelachvili,et al.  Relationship between adhesion and friction forces , 1994 .