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  Prediction of Large Strain Solution for Cavity Contraction Problems from Small Strain Deformation Considering Effects of Intermediate Principal Stress

  This paper presents a closed-form prediction equation of large strain solution based on small strain solution for cavity contraction problems in full three-dimensional space. Its derivation is based on the cylindrical cavity contraction in perfectly elastoplastic soil using unified strength theory (UST) considering effects of different intermediate principal stresses and constant plastic dilatancy. It is shown that the different intermediate principal stress has different effects on the small strain contraction from cavity wall unloading while small and large strain contractions present a constant relationship of hyperbolic function which is only affected by the dilatancy and not by the intermediate principal stresses. Through application examples, it is verified that the small strain assumption amplifies the cavity contraction response making the cavity wall displacement too large; the incorporation of intermediate principal stress coefficient b reduces the cavity contraction response and the larger b value is, the more obvious the response is. The proposed equation can be used to predict the similarity large deformation solution with no necessity of calculating the accurate real deformation.

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