Asymptote intersection

Asymptote intersection. The asymptotes interseet the real axis at a point given by... 

We choose -180° (and not 0°) because we know that there must be a phase lag. On the magnitude log-log plot, the high frequency asymptote has a slope of-2. This asymptote intersects the horizontal K line at co = 1/x. 

The mixing hyperbola has been drawn in Figure 5.5. The two asymptotes intersect... 

The high-frequency asymptote intersects the L = 0 line at breakpoint frequency. The log modulus is "flat (horizontal) out to this point and then begins to drop off. 

This pseudo-asymptote intersects the ordinate at point that corresponds to the contribution to polarization provided by rapid processes occurring at very low r/ij. In accordance with Eq. (1.2.27), the value of (r ) formally determined from the linear dependence considered above has the sense of r i averaged only over the slower proces s t with renormalized wei ts related only to these processes... 

We see that the maximum difference between this exact result and the nearest of the two asymptotes is about 20% at the point where the two asymptotes intersect. 

Equation (1) represents a curved transition from a straight-Une asymptote with slope Eo to another asymptote with slope bEo (Figure 1 Unes (a) and (fi) respectively). <70 and So are the stress and the strain at the point where two asymptotes of the branch under consideration meet (Figure 1, point A), while Or and denote the stress and the strain at the point where the last strain reversal with stress of equal sign took place (Figure 1, point B). The shape of the transition curve allows a good representation of the Baushinger effect. This is a function of the curvature parameter R and depends on the strain difference between the current asymptote intersection point and the previous... 

When using the graphical method to estimate Ti, eq. (11) gives the condition where the asymptote intersects the tangent for small values ofX at Wo to be... 

This will approach zero as tj approaches zero. The extrapolated asymptotes intersect on the line 77 = 0 at log Iq. 

---