| An Updated Lagrangian method of finite element analysis for large strain and large rotation, combined with remeshing and interpolations of the history-dependent variables after the remeshing, has been formulated. This method is applied to some practical large elastoplastic deformation problems including plane stress, plane strain and axisymmetric case. A yielding criterion based on the modified Mohr-Coulomb yield criterion which exhibits the elastoplastic deformation in geotechnical engineering materials more accurately than the classical Mohr-Coulomb criterion is presented and employed in these problems. Some results from the present work have been compared with those obtained from standard finite element analysis for large deformation. These examples will illustrate the effectiveness of the present finite element analysis for large deformation. In particular, the present formulation can overcome the weakness of standard finite element analysis for large deformation in which the amount of strain and rotation is limited by mesh distortion. Thus, the large deformations are really permitted in the material, while the mesh will never be distorted. |
