Micromechanical model for bounds on effective elastic and visco-elastic interface stiffness of mating rough surfaces

Rough surface contact between blocks and particles occurs in many engineering problems. The intent here is to focuses on upon the mathematical modeling of stress-deformation of rough surfaces. The interaction between surfaces is via asperity on the surface. Elastic as well as rate-dependent deformations are considered at inclined asperity contacts. The connection between the local asperity force-deformation behavior and the overall interface stress-deformation behavior is defined through two approaches using: (1) Kinematic and (2) Static assumptions. The resultant stress-deformation model is used to obtain the bounds of normal and shear stiffness behavior of mating rough surface for elastic and viscoelastic contact. Parametric study for kinematic and static model for elastic interface by varying contact stiffness and contact orientation parameters. Complex modulus for viscoelastic interface is obtained by mathematical operation, for both static and kinematic conditions. Parametric studies of complex modulus are performed by varying frequency of loading for both kinematic and static models. Furthermore, functions are parametrically investigated by conducting monotonic loading tests.