3D-2 Application of a Micromechanical Model to Wave Propagation Through Nonlinear Rough Interfaces Under Stress

Abstract

Imperfect interfaces between two rough solids are known to exhibit nonlinear, anisotropic behavior under static normal and shear stresses. We expect this nonlinear, anisotropic behavior to have a profound effect on wave propagation through such interfaces. A micromechanical methodology is applied to explicitly model the initial normal and shear stiffness behavior of interfaces. The calculated initial normal and shear stiffness are used to investigate plane wave propagation behavior through interfaces utilizing the imperfectly bonded interface model

Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua

“…where we denoted by t + the tangential component of the force t + on the + side of S. More complex surface contact phenomena may be eventually modelled by means of more sophisticated boundary conditions. In this context future investigations will exploit the results presented in [73,75,76,78,79]. In the considered unidirectional wave propagation these conditions reduce to…”

“…Moreover, the interfaces may be endowed with mass, deformation energy, frictional properties and other physical properties. Many investigations has been made in this field: we consider very interesting those presented in [73] or in [75][76][77][78]80] which suggest how in our model one could incorporate micromechanical, frictional effects or interfacial roughness and nonlinearities. Moreover, if some uncertainties or inhomogeneities are present at a "microscopic" level in the neighborhood of the interface then the methods developed in [12] or [22] would allow the formulation of suitable "interface balance of energy" by generalizing the condition formulated in the present paper: the methods presented in cited papers seem most suitable as they are capable to account for nonstationary processes also.…”