Modelling the hygroscopic buckling of layered paper sheets

A model is constructed to treat the hygroscopic buckling of layered rectang ular paper sheets. The sheet is assumed to consist of K layers each of whic h has a thickness that varies with position. Each layer of the sheet is tak en to be rectilinearity orthotropic, and both the constitutive constants an d hygroscopic coefficients may vary with position in an individual layer. A set of global constitutive relations is developed and is used to derive th e generalized von Karman equations which govern hygroscopic buckling and po stbuckling behavior. (C) 2000 Elsevier Science Ltd. All rights reserved.