Modelos constitutivos para materiais hiperelásticos: estudo e implementação computacional / Constitutive models for hyperelastic materials: study and computational implementation

AUTOR(ES)

João Paulo Pascon

DATA DE PUBLICAÇÃO

2008

RESUMO

The main objective of this work is to implement nonlinear hyperelastic constitutive models in a computational code of geometrically nonlinear analysis of shells. For this purpose, concepts of linear and tensor algebras, kinematics, strain, stress, balances, variational principles, numerical methods and hyperelasticity are necessary. Such program uses the positional Lagrangian formulation, the finite element method, the principle of virtual work and the iterative method of Newton-Raphson for the solution of the nonlinear equations. The shell finite element has ten nodes, seven parameters per node and presents linear variation of the strain along the thickness. To achieve the new constitutive models the multiplicative decomposition of the deformation gradient, the Green-Lagrange strain tensor and the second Piola-Kirchhoff stress tensor are used. The developed code is tested for simulations of various examples and presents good accuracy in the mechanical analysis of highly deformable natural rubber. The locking phenomena didnt appear in the proposed analysis. The present research confirms other works, corroborates the need of using nonlinear hyperelastic models to simulate the mechanical behavior of natural rubber and presents suitable results when compared to existent experimental data of the scientific literature and to the respective analytical solutions.

ASSUNTO(S)

positional lagrangian formulation hyperelasticity finite element method geometrically nonlinear analysis hiperelasticidade seven nodal parameters shells formulação lagrangiana posicional método dos elementos finitos materiais poliméricos altamente deformáveis análise não linear geométrica highly deformable rubber materials cascas com sete parâmetros nodais

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