Tangential strain

An additional radial stress, i(a,z), acts at the interface that arises from the differential Poisson contraction between the fiber and the matrix when the matrix is subjected to an axial tension at remote ends. q (a,z) is obtained from the continuity of tangential strain at the interface (i.e. e (a,z) = e (a,z)) (Gao et al., 1988)... 

Over the last decade several explanations have been proposed for specific systems. In [38] the effect of shear flow on layer fluctuations in lamellar phases has been considered. The authors found that the lifetime of thermal fluctuations is significantly influenced by the shear flow and concluded that this can give rise to a destabilization of the layers. In [39], Williams and MacKintosh calculated the effect of the tangential strain on each layer in a sheared block copolymer. By minimization... 

The ultimate strain in tension was determined experimentally. The results were 2.0% in the x-direction (tangential direction at 90°) and 1.4% in the y-direction (tangential direction at 0°). The ultimate strain at 45° was not determined experimentally. The lowest of the strain values measured in the x- and y-directions (1.4%) is taken for the ultimate tangential strain at 45°. The calculated strength values are presented in Table 5.6. 

For a thin multilayered disc, the stress normal to the disc can be ignored and the radial and the tangential stresses, Or and oe, are related to the radial and the tangential strains, Sr and se, by... 

The oxidation leads to an increase in the strain in the circumferential direction (tangential strain Eqx) with a rate of... 

Cell membranes rupture when exposed to excessive tangential strain, and so cause cell necrosis... 

Changes in cell height, cell width, cell volume, hydrostatic pressure, and tangential strain on the cell membrane were compared for the different loading rates for the cells located at the three different positions (superficial, middle and deep zone) (Fig. 2 ). 

The rate of change of the cell membrane tangential strain (Fig. 4) was highest for the highest loading rate for the superficial but not the middle and deep zone cells. 

Fig. 4 Absolute peak tangential strain rate on cell membrane for cells in the superficial, middle and deep zones of the cartilage tissue exposed to four different strain rates...

In recent calculations Stemstein3 has worked out the problem of swelling of rubber containing spherical filler particles subjected to the boundary conditions that the tangential strain is zero at the surface of the particle. He has obtained expressions... 

Relation [2.6] defines the magnitude and sign of demand the sign of resulting radial and tangential stresses. This tangential strain results in a two-component, radial and tangential, stress state of the oxide scale that would then depend on its ability to creep to relax these stresses. 

Yielding of the fibers is not predicted in this internal pressurization case. Failures of the inner and outer polymer layers are considered to indicate total failure of the catheter, even though the fibers in both layers are still intact and un-deformed plastically. Figure 6 plots the variation of axial and tangential strains with applied... 

Figure 3 Axial and Tangential Strains (divided by internal pressure variable, Po) plotted against winding angle for the Filament Woimd composite nnder internal pressurization.

Figure 6 Axial and Tangential Strains plotted against apphed Intemal Pressures for a selection of winding angles...

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