The objective of this study is to present the theory and implementation of the analysis procedures that are used in the 2-D and 3-D finite element analysis considering large displacement and large strain, and plasticity. An updated Lagrangian formulation was used with incremental loading and/or unloading.
An existing code GTQSA was utilized which is an initial version for analysis of a general 3-D quasi-static analysis with geometric and material nonlinearity for orthotropic material, but limited only to isoparametric brick elements. In addition to the existing capability of orthotropic 3-d nonlinear analysis, 2-D and axisymmetric isoparametric elements were developed. The analysis of plastic deformation was incorporated based on the deformation theory.
The developed program has been tested for accuracy through examples which were found in the literature and applied to several practical problems; a spring-back analysis and autofrettage problems.
