Paper orientation

Bars and stick products are flow-wrapped. The printed wrapping, which may be coated paper, orientated polypropylene or metallized film, is supplied as a long roll. The wrapping is unwound from the roll and made into a continuous tubular sleeve (Figure 5.17a). Products are placed in the sleeve (Figure 5.17b), which is heat or pressure sealed along its seam. Finally, the tube is cut across to separate the products and the ends of the wrapping are sealed. 

In this paper, computations are performed for sizing of surface cracks with different orientations with respect to the applied field, complex cross-sections, and unknown shapes by using the algoritlim from It is shown that the algoritlim allows to perform sizing of cracks with complex cross-sections independent of the shape of the crack for orientation angles not exceeding 45°. 

The algorithm for sizing of eraeks with complex cross-sections and unknown shapes based on the method was used in for sizing of cracks oriented perpendicularly to the applied field. This algoritlim is presented in Fig.3. In this paper, the same algorithm is applied readily to sizing of cracks with non-perpendicular orientation with respect to the applied field. 

It is the purpose of this and the following chapter to report the quantitative data concerning the relationship of structure to orientation and reactivity in aromatic nitration. Where data obtained by modern analytical methods are available they are usually quoted in preference to the results of older work. Many of the papers containing the latter are, however, noted in the brief discussion which is given of interpretations of the results. 

Technological History (26,54—61). As a first approach, there are three groups of components supports, paint media, and pigments. The support is the substrate upon which the paint layers are laid down. This can be a specially prepared area on a wall for a wall painting, a wooden panel as in a panel painting, or a fabric in canvas paintings. Paper is a prevalent support in Oriental painting. Other supports are encountered less frequently, eg, metal panels such as copper sheet. 

As the nonwoven fabrics industry has matured and technology has become pubHcly available, emphasis in the various sectors of the industry has changed. In the 1990s, some portions of the nonwovens industry are technology driven, whereas others are market driven. A number of firms are proprietary technology based, and others are turn-key plant operations. Some corporations are commodity roU-goods producers, and others are more oriented to niche market, high value-added products. Many nonwoven produces continue the quest for new markets and more opportunities to compete with textiles, paper, and plastics. 

Because the fibers generally are anisotropic, they tend to be deposited on the wire in layers under shear. There is Htde tendency for fibers to be oriented in an out-of-plane direction, except for small undulations where one fiber crosses or passes beneath another. The layered stmcture results in the different properties measured in the thickness direction as compared to those measured in the in-plane direction. The orthotropic behavior of paper is observed in most paper properties and especially in the electrical and mechanical properties. 

The seminal work on these materials began at American Cyanamid Co. in the 1960s (4,23), though these workers did not author the ion-insertion/extraction model that has become widely accepted (5). Numerous patents were granted to American Cyanamid Co. as a result of its display-oriented work. Much of what others have written in the open Hterature either confirms or adds to what these teach. Important papers (16) about... 

SFA has been traditionally used to measure the forces between modified mica surfaces. Before the JKR theory was developed, Israelachvili and Tabor [57] measured the force versus distance (F vs. d) profile and pull-off force (Pf) between steric acid monolayers assembled on mica surfaces. The authors calculated the surface energy of these monolayers from the Hamaker constant determined from the F versus d data. In a later paper on the measurement of forces between surfaces immersed in a variety of electrolytic solutions, Israelachvili [93] reported that the interfacial energies in aqueous electrolytes varies over a wide range (0.01-10 mJ/m-). In this work Israelachvili found that the adhesion energies depended on pH, type of cation, and the crystallographic orientation of mica. 

Binder formulas for carpet backing, aluminum foil to paper, vinyl flooring, tire cord, paper labeling, masking tape, and oriented polypropylene tape applications are available from Midgley and Rea in Skiest [215]. 

Fig. 3. Molecular graphics images of an archetypal flattened toroidal model of a nanotube with n = 5 and m = 4al three different orientations in a plane perpendicular to the paper. Note the points on the rim where...

The treatment of transverse shear stress effects in plates made of isotropic materials stems from the classical papers by Reissner [6-26] and Mindlin [6-27. Extension of Reissner s theory to plates made of orthotropic materials is due to Girkmann and Beer [6-28], Ambartsumyan [6-29] treated symmetrically laminated plates with orthotropic laminae having their principal material directions aligned with the plate axes. Whitney [6-30] extended Ambartsumyan s analysis to symmetrically laminated plates with orthotropic laminae of arbitrary orientation. 

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