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Mathematical modeling of materially nonlinear problems in structural analyses, Part II: Application in contemporary software

Bonić Zoran (Faculty of Civil Engineering and Architecture, Niš)
Vacev Todor (Faculty of Civil Engineering and Architecture, Niš)
Prolović Verka (Faculty of Civil Engineering and Architecture, Niš)
Mijalković Marina (Faculty of Civil Engineering and Architecture, Niš)
Dančević Petar (Faculty of Civil Engineering and Architecture, Niš)

The paper presents application of nonlinear material models in the software package Ansys. The development of the model theory is presented in the paper of the mathematical modeling of material nonlinear problems in structural analysis (part I - theoretical foundations), and here is described incremental-iterative procedure for solving problems of nonlinear material used by this package and an example of modeling of spread footing by using Bilinear-kinematics and Drucker-Prager mode was given. A comparative analysis of the results obtained by these modeling and experimental research of the author was made. Occurrence of the load level that corresponds to plastic deformation was noted, development of deformations with increasing load, as well as the distribution of dilatation in the footing was observed. Comparison of calculated and measured values of reinforcement dilatation shows their very good agreement.

Keywords: material models, nonlinearity, Bilinear kinematic, Drucker Prager, experiment