Integration of deformed objects into a composite object analogous to the strain ellipse: a novel graphic method of Rf/ϕ strain analysis

Abstract

The composite object of post-strain elliptical objects is defined as having a radial length that is the square root of the normalized sum of the squared radial lengths of the objects. It proves analogous to the strain ellipse and makes R_f/ϕ strain analysis simple. The finite strain is estimated from the overall shape of the composite object. The discrepancy between the composite object and the estimated strain ellipse is used to appraise the assumption of the uniformly distributed major axes of pre-strain objects. Two strain methods, direct calculation and numerical estimation, are developed to determine the strain from the composite object. Synthetic and natural datasets are used to validate the methods.