A nonlinear bar element with varying stiffness

Abstract eng:
The contribution is devoted to description of an exact bar element with varying stiffness. The 2nd theory solution is based on the full nonincremental nonlinear (geometric and material) lagrange FEM formulation of the body motion equations. The new shape functions of the bar element have been established with consideration of continuous variation of elasticity and plasticity moduli, yield stress and cross-sectional area. The efficiency and accuracy of the new elements have been compared with the solutions of identical problems using the ANSYS program. New finite element meets exactly all the basic equations of the bar in both the local and global sense. The results obtained with this element are not dependent on the mesh density.

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