NONLINEAR ANALYSIS OF TRUSSES IN HIPERELASTICITY BY POSITIONAL FINITE ELEMENT METHOD
Hyperelasticity; Positional FEM; Non-linearity; Newton-Raphson.
In recent years, there has been an increase in the use of hyperelastic materials in structures, such as vulcanized or natural polymers. As a result, it becomes relevant to expand the knowledge regarding the mechanical performance of these materials through the development of numerical models that simulate their behavior and that are capable of presenting more realistic predictions. For materials represented by hyperelastic models, the consideration of physical and geometric nonlinearities is more adequate to represent their mechanical behavior when subjected to large deformations. Thus, the present work aims at the implementation of a computer program, with the purpose of analyzing and comparing the mechanical behavior of trusses considering the physical nonlinearity, described by hyperelastic models, and the geometric nonlinearity using the positional formulation in finite elements, comparing the result with the linear solutions. The Newton-Raphson iterative algorithm was adopted to solve the problem of non-linearity and the validation of the implemented program took place through the comparison with analytical solutions and experimental results of scientific works.