Mechanics of a Near Net-Shape Stress-Coated Membrane. Volume II of II

摘要

This report is the sequel to Volume I of the same title, in which asymptotic methods were used to derive theories that would aid in understanding the mechanical behavior of a stress-coated membrane. In Volume II we have applied those theories to a number of boundary value problems, obtaining generalizations of well-known solutions for a membrane, plate, or shell of a single material to solutions for the same structure, but now consisting of a multilayer-coated polymer material. Perhaps the most significant accomplishment of this work was the discovery of simple prescriptions for the coating stress that would maintain the shape of an initially parabolic coated membrane after removal from the mold upon which it was cast. These solutions involve linear combinations of Kelvin functions. Coating prescriptions are given for membrane laminates both with, and without, pressure and gravitational loads. The prescriptions are presently being used in the preliminary design of a near net- shaped stress-coated membrane, to be demonstrated hopefully in the near future.