TY - JOUR
T1 - Moisture-induced buckling of paper sheets, analysis and simulation
AU - de Böck, R.
AU - van de Ven, A.A.F.
AU - Saes, L.H.
AU - Maubach, J.M.L.
AU - Koren, B.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - Understanding the effects of water absorption on the geometry of a paper sheet is important for inkjet printing applications, since internal moisture content differences may cause unacceptable out-of-plane deformations. The present work focuses on moisture-induced deformations due to a moisture content that is uniform over the thickness of the sheet. Large enough in-plane differences will cause the sheet to buckle, leading to a wavy pattern at the edges of the sheet. Two approaches are utilized to study this for levels of moisture content up to and including the threshold for buckling. An analytical approach, based on geometrically nonlinear plate theory (von Kármán theory), and a numerical one, using commercially available finite element software, are presented. As a first reference problem an isotropic circular plate, wetted uniformly at its center, is solved both analytically and numerically for the in-plane stress distribution, the buckling threshold, and the resulting buckling mode. Secondly, the same is done for an orthotropic rectangular plate, wetted at its edges. Here, in the analytical approach a Rayleigh-Ritz analysis is employed to approximate the buckling threshold. The latter is also calculated by numerical means. The results show that the methods provide results consistent with each other.
AB - Understanding the effects of water absorption on the geometry of a paper sheet is important for inkjet printing applications, since internal moisture content differences may cause unacceptable out-of-plane deformations. The present work focuses on moisture-induced deformations due to a moisture content that is uniform over the thickness of the sheet. Large enough in-plane differences will cause the sheet to buckle, leading to a wavy pattern at the edges of the sheet. Two approaches are utilized to study this for levels of moisture content up to and including the threshold for buckling. An analytical approach, based on geometrically nonlinear plate theory (von Kármán theory), and a numerical one, using commercially available finite element software, are presented. As a first reference problem an isotropic circular plate, wetted uniformly at its center, is solved both analytically and numerically for the in-plane stress distribution, the buckling threshold, and the resulting buckling mode. Secondly, the same is done for an orthotropic rectangular plate, wetted at its edges. Here, in the analytical approach a Rayleigh-Ritz analysis is employed to approximate the buckling threshold. The latter is also calculated by numerical means. The results show that the methods provide results consistent with each other.
KW - Buckling
KW - Nonlinear simulation
KW - Paper deformation
KW - Rayleigh-Ritz method
KW - Von Kármán plate theory
UR - http://www.scopus.com/inward/record.url?scp=85029772975&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2017.08.038
DO - 10.1016/j.ijsolstr.2017.08.038
M3 - Article
AN - SCOPUS:85029772975
SN - 0020-7683
VL - 128
SP - 296
EP - 308
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
ER -