the minimization and penalty formulation and mixed formulation. The solution of the FE set of equations are performed by Newton's method. The authors furnish a description and improvement of the method. The concluding section speaks about augmented Lagrangian algorithm. This entails a new formulation for handling equilibrium problems in nonlinear elasticity, an augmented Lagrangian formulation and the basic iterative method utilizing a positive definite matrix. The chosen example is the buckling of a thick rectangular beam.
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