DING Zhou-xiang1, GONG Xiao-nan2, XIE Yong-li3, et al. Large strain consolidation of roadbed based on various objective constitutive relations[J]. 2006, (9): 1485-1489.
DING Zhou-xiang1, GONG Xiao-nan2, XIE Yong-li3, et al. Large strain consolidation of roadbed based on various objective constitutive relations[J]. 2006, (9): 1485-1489.DOI: 10.16285/j.rsm.2006.09.010.
In traditional large strain analysis of roadbed consolidation
the constitutive relation with Jaumann stress rate is used
which can not consider neighborhood-deformation. In this paper
Truesdell stress rate considering not only rigid-body motion but also neighborhood-deformation was introduced into large strain consolidation (LSC) theory. Using both virtual work principle and Galerkin’s weighted residual method
the finite element formulations for LSC were derived
based on constitutive relations following objectivity principle. The corresponding plane-strain FEM programs were compiled and tested. The influences of Truesdell
Jaumann and simplified Jaumann stress rates on roadbed consolidation were mainly discussed. The results show that the settlement
lateral displacement and pore-water pressure calculated by traditional method are greater than those by the method based on the constitutive relation using Truesdell stress rate. The considerable magnitude of errors may occur for the case of using small-strain constitutive matrix
due to the dissatisfaction with objectivity principle. As far as common problems are concerned
the differences between the results by Jaumann or Truesdell stress rate could be neglected; and the traditional method is adequately accurate for the case of small deformation.