2010 Volume 66 Issue 1 Pages 145-155
We develop a multi-scale analysis method for partially improved grounds by using the nonlinear elastic constitutive equation, which is newly proposed to characterize the isotropic, three-dimensional, confined-pressure-dependent behavior of an in-situ ground in this study. First, the general framework of the multiscale method based on the homogenization theory is briefly summarized. Secondly, we propose the constitutive model relevant to the numerical algorithm and validate its basic performance. Finally, after demonstrating the macroscopically anisotropic responses with a single macroscopic finite element, we carry out the 3D simulation of an improved ground to demonstrate the capability of the proposed multiscale analysis method and validate the result in comparison with that of the direct analysis in which the heterogeneities of the improving material are directly discretized.
