The shear band (SB) spacing phenomenon in geomaterials is addressed in this paper under plane strain extensional conditions. On the basis of sand box observations, a method is proposed for the prediction of the spacing between shear bands based on the so-called ''bookshelf'' deformation mechanism. The proposed method is based on the assumption that the material is softening inside the shear bands whereas outside the SB it undergoes elastic unloading. The underlying assumption for the prediction of SB spacing is that the material reaches the lowest possible energy rate. An analytical expression for the determination of the shear band spacing is presented taking into account the plane strain extensional deformation of the specimen. The friction due to the normal off-plane shear acting on the boundaries is then taken into account.
An empirical and a numerical calculation model were developed to predict the surface settlements due to EPB tunnelling in hard rock with heterogeneous face conditions. For this purpose, surface settlement and TBM driving data from Boßler Tunnel were considered. The TBM launching area characterised by a low overburden (z/D < 2) and a nature conservation area at surface was examined. The developed models were calibrated against the measured surface settlements of the first eastbound tube and were used to predict the surface settlements of the subsequent westbound tube. The prediction was then compared to the actual measured settlements during the excavation of the westbound tube. From this, findings for future settlement predictions in similar ground conditions were derived. It could be shown that both models are suitable for the application in the investigated subsoil conditions and can be used successfully in practice in different phases of the project development.
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