Drag Patterns of Planar Structures around Rigid Inclusions

Abstract

The drag-patterns of planar structures around rigid spherical and ellipsoidal inclusions may be classified on the basis of their symmetry or asymmetry, on relative lengths of segments showing normal and reverse drag and on the basis of whether the planar structures around the inclusion bow in or bow out. If the bulk deformation is by a combination of simultaneous pure shear and simple shear, the pattern of drag will be determined by the initial orientation of the marker planes (parallel to the long axis of inclusion), the total deformation of the matrix and the ratio between the rates of pure shear and simple shear. These physical factors would decide whether the total rotation of the inclusion is greater than or less than or is equal to the total rotation of the planar structure in the matrix. If the total rotation of inclusion is greater, predominantly normal drag would result. If the total rotation of inclusion is less than or equal to that of the marker, dominantly reverse drag or a symmetrical pattern would develop.