Characterizing the Interfiber Bonding of Paper Pulps: Tensile Behavior of Some Mathematical Models of Paper Networks (Classic Reprint) - Softcover

Inhaltsangabe

Excerpt from Characterizing the Interfiber Bonding of Paper Pulps: Tensile Behavior of Some Mathematical Models of Paper Networks

The behavior of a thin web-like paper network during elongation has been approximately simulated by two simple mathematical models. One of these is a parallel-spring model consisting of a series of segments formed by connecting springs in parallel between two rigid bars. The other is a square network model consisting of a network with square meshes formed from springs of equal length. The square-network model provides the better simulation of an actual network, but a complicated computer program is required to calculate behaviors. The parallel-spring model is mathematically simple, and can be used to suggest general behaviors which can be verified by calculations for other more suitable models.

In these studies emphasis is placed on the effect of breakage of a central bond when the model is stretched. The resulting distorted mesh configurations, the drop in tensile force, and the energy lost by the network are calculated.

An attempt is made to interpret the behavior of an actual paper network in the light of these results.

There is an energy parameter E obtained experimentally by averaging the energy losses incurred in a series of bond breaks when a web - like paper network is elongated. This energy parameter has been used to characterize the adhesive force between fibers constituting the network. The model studies suggest that the values of E are approximately independent of the size and shape of the test specimens, provided the mesh sizes of the specimen networks are the same.

The model studies indicate that a force drop parameter F, analogous to the energy parameter, would be feasible for characterizing adhesion. This parameter, which has not been tested experimentally, would be obtained as the average of force drops resulting from bond breaks in a specimen as itis elongated. According to the model studies the values of F are approximately inversely proportional to the initial lengths of the specimens, and approximately independent of the widths, provided the mesh sizes of the specimen networks are the same.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This 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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.