Mechanical Aspects ofDeformation-Induced SurfaceRoughening in the Presence ofInclusions in a Subsurface Layer.Numerical Modeling

摘要

The mechanical aspects of deformation-induced surface roughening inherent inmicrostructural inhomogeneity are studied numerically using single inclusion models.Three-dimensional finite-element calculations of uniaxial tension are performed for aset of single inclusion models where a cubic-shaped inclusion is embedded into ahomogeneous matrix. The inclusion-to-surface distance, tilt angle about the axis oftension, and the ratio between the matrix and inclusion elastic-plastic properties arevaried in different combinations to study the effects which these parameters have onthe development of out-of-plane surface displacements under uniaxial tension. It hasbeen shown that all stress and strain tensor components in the vicinity of inclusions takeon non-zero values, including those directed across the load axis. Thus, the free surfacebecomes rough under the action of internal forces originated from the inhomogeneousstress-strain fields. Some illustrative examples of surface roughening under uniaxialtension are shown for multiple ellipsoidal inclusions periodically arranged in a subsurfacelayer of an elastic-plastic material.