Formulation, validation and numerical procedures for Hencky's elasticity model

Hencky's elasticity model based on the logarithmic strain tensor is discussed. Continuum formulation makes use of the conjugate stress tensor derived by Hoger. Constitutive equations are cast in two settings: General Lagrangean and isotropic Eulerean forms. Recent experimental data for tension, compression, simple shear and torsion loadings with the inclusion of Poynting's effect are employed to validate this constitutive model. Subsequently, the performance of numerical methods in the finite element method context is tested. The paper closes with numerical examples, involving 60% compression test, which exhibits barreling caused by friction.

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