Excerpt from Construction of a Three Dimensional Displacement Field From a Solution to the Von Karman EquationsIn a previous report the displacements for the exact theory were expressed in terms of the vertical deflection of the middle surface and a stress function. It was expected that those formulas for the displacements could be used here to define a displacement field. However, changes were made in the formulas used here since the stress function is now an exact solution to the von Karman equations rather than an approximate solution. The method used to obtain the formulas for the displacements is the same, however, as used in We simply exhibit the formulas in rather than repeat the derivation.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.