A MOHR CIRCLE CONSTRUCTION TO PLOT THE STRETCH HISTORY OF MATERIAL LINES

Mohr circles for stretch can be used to find the spatial distribution of material lines which have been shortened, extended, shortened-then-extended and extended-then-shortened in a material plane which underwent area-constant homogeneous deformation by steady-state flow. The distribution is mainly a function of the vorticity of the parent flow, and can be used to determine sense of shear, finite strain, and even vorticity and orientation of finite strain axes. The method may be useful in theoretical and experimental studies and can help to understand the complex deformation patterns in sets of cross-cutting veins in deformed rocks. © 1990.