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Using the base line forces as fundamental variables, the complementary energy of an element with geometrical nonlinearity is constructed, which contains both deformation part and rotation part. Based on the complementary energy principle for large elastic deformation by Gao, the equilibrium conditions are released by the Lagrange multiplier method, and a modified complementary energy principle related to the base line forces is obtained. The 4-node plane element model with geometrical nonlinearity is derived by assuming uniform stress distribution on each faces of the element. A nonlinear finite element code is developed. Numerical results show that this model works very well.
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