ADHESIVE CONTACT OF VISCOELASTIC SPHERES: A HAND-WAVING INTRODUCTION

We give an overview of the general features of the linear viscoelastic adhesive contact model. The two main features are (1) a delay between the contraction of the contact radius and the onset of the indenter retraction, and (2) the enhancement of the adherence force. We emphasize the role played by stress relaxation within the contact zone in these phenomena and give simple forms of the viscoelastic adhesive contact equations to account for it. Two characteristic timescales are identified, respectively associated with the crack tip and the contact zone. Their asymmetric roles in the growing and receding contact phases is evidenced. Energy release rates for both phases are calculated together with their irreversible components.

[1]  E. Kramer,et al.  Contact Mechanics and Adhesion of Viscoelastic Spheres , 1998 .

[2]  G. Haiat,et al.  Approximate Model for the Adhesive Contact of Viscoelastic Spheres , 2002 .

[3]  H. Hertz.  Ueber die Berührung fester elastischer Körper. , 1882 .

[4]  C. Hui,et al.  Mechanics of contact and adhesion between viscoelastic spheres: An analysis of hysteresis during loading and unloading , 2002 .

[5]  J. A. Greenwood,et al.  The mechanics of adhesion of viscoelastic solids , 1981 .

[6]  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.

[7]  K. Wahl,et al.  Microstructure and microtribology of polymer surfaces , 1999 .

[8]  C. Fretigny,et al.  Kinetics of adhesion on a viscoelastic sample by force microscopy , 2001 .

[9]  T. C. T. Ting,et al.  The Contact Stresses Between a Rigid Indenter and a Viscoelastic Half-Space , 1966 .

[10]  E. Barthel,et al.  Surface Forces and the Adhesive Contact of Axisymmetric Elastic Bodies , 2000 .

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

[12]  Richard Schapery,et al.  A theory of crack initiation and growth in viscoelastic media , 1975 .

[13]  Guillaume Haiat,et al.  The adhesive contact of viscoelastic spheres , 2001 .

[14]  C. Hui,et al.  Viscoelastic contract, work of adhesion and the JKR technique , 1999 .

[15]  E. Barthel.  On the Description of the Adhesive Contact of Spheres with Arbitrary Interaction Potentials , 1998 .

[16]  Adhesion and deformation of a single latex particle , 2000 .

[17]  Richard Schapery,et al.  A theory of crack initiation and growth in viscoelastic media , 1975 .

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

[19]  A. Crosby,et al.  Rheological properties and adhesive failure of thin viscoelastic layers , 2002 .

[20]  K. Johnson,et al.  An alternative to the Maugis model of adhesion between elastic spheres , 1998 .

[21]  M. Tirrell,et al.  Compositional Effects on the Adhesion of Acrylic Pressure Sensitive Adhesives , 2000 .