Simple shear under large deformation: Experimental and theoretical analyses

The aim of the present work is to analyze the simple shear state of an incompressible hyperelastic solid under large deformation by experimental and theoretical approaches. The experimental procedure was performed using a single lap shear test and the displacement fields were determined by the Digital Image Correlation method. The applied force and the measured angular distortion were used to evaluate the shear stress and the amount of shear. Hence, a nonlinear stress-strain response was achieved. In addition, the normal stress components were obtained from the experimental data by assuming two hypotheses: the first one was based on a plane stress condition, while the normal component of the traction on the inclined surfaces was assumed to be zero on the second. Finally, to verify the presented results, the initial shear modulus of the hyperelastic material was estimated and compared with the value obtained using the data from a planar tensile test. The Lopez-Pamies strain energy function was used in the inverse analysis in order to estimate the material property, which was similar for both experimental tests.