An experimental technique for reconstructing the received wave of bender element tests based on linear system theory is shown in this paper. In order to identify the frequency response of testing apparatus, bender element tests using frequency-swept signals are performed. Received waves for one-period sine pulse transmitting with various frequencies are calculated and compared with observed waves in several kinds of soil samples and testing apparatuses. The linearity of the testing system is also conˆrmed by coherence function. It is shown that calculated data are less aŠected by random noise and show good agreement with observed data in regards to not only waveform itself but also resulting shear wave velocity. It is mentioned that this technique can provide simulations for arbitrary transmitted waveform with high signal/noise ratio after laboratory tests are performed. It is also mentioned that this technique is advantageous when su‹cient amplitude of received wave cannot be ensured or shear wave velocity must be veriˆed, for example, due to uncertainty of arrival time by near-ˆeld eŠect.
The volumetric change accompanying with plastic shear deformation causes the dependency of q on p where p and q respectively represent the hydrostatic pressure and equivalent deviatoric stress in yielding. Their dependency is called yield curve or yield function. For predicting yield curve the following assumptions are set up. Yield curves expand similarly in shape with plastic deformation and yield function plays as a plastic potintial. Basic yield curve is determined which gives a basic shape in similary expansion of yield curve. Using experimental results obtained under plane strain compression tests, we predict the basic yield curves. The basic yield curve has a limit over which yield curve cannot expand in (p, q) space. We call it expanding limit. First, it is examined whether plastic instability arises or not in plane strain compression tests, but its occurrence is denied consequently. Next, we show that multiple deformation rate can exist at the expanding limit. Hence, the onset of bifurcation is predicted at the expanding limit and the mode of shear plane is determined based on the concept of a characteristic plane. These predictions agree reasonably well with reported experimental observations.
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