Wrinkling in finite plane-stress theory

Abstract

A general and complete formulation is given for the wrinkling phenomenon in the context of finite plane-stress theory. The planar portion of the true three-dimensional displacement field, called the pseudo-displacement field, is used as a basis for the necessary kinematic analysis. It is assumed that the principal directions associated with the <italic>pseudo</italic>-deformation field are the same as those associated with the true stress field. The true stress field is governed by equilibrium and the assumption that one of the principal stresses vanishes, and hence is statically determinate. The difference between the <italic>pseudo</italic>-strain and the <italic>true</italic> strain calculated from the true stress is a new tensor, called the wrinkle-strain tensor, and serves as a measure of the wrinkliness of the surface.