@article{Bechir_Yaya_Djema_2020, title={Characterization of Multi-axial Hyperelastic Behavior of Mooney-Rivlin Materials: Results of Finite Element Simulations}, volume={40}, url={https://journals.ub.ovgu.de/index.php/techmech/article/view/1810}, DOI={10.24352/UB.OVGU-2020-009}, abstractNote={<p>The calibration of the parameters of hyperelastic consitutive equations of elastomeric materials requires multi-axial&nbsp;mechanical test data. For this reason, planar biaxial tests have been used extensively in the literature. The drawback of the&nbsp;biaxial tensile test is that difficult to manage and gives raise to heterogeneous stress and strain fields. Noting that, a homogeneous&nbsp;stress-strain field allows for more precise determination of the mechanical properties of a sample. To this end, we present an&nbsp;alternative to biaxial testing, i.e. a novel test protocol that is consisting to deform a sample by coupling both the deformations of&nbsp;pure shear and of simple shear (or rectilinear shear). The sample is oriented in the plane of a special device, which is attached to&nbsp;a universal tensile testing machine. As a result, the stress-strain relations depend on the direction of stretching, i.e. Θ 2]0, π/2[ (angle of orientation of the sample in the device) and displacement U (or γ). We compute analytically the Cauchy stresses on the&nbsp;basis of assumption of homogeneous strain field in core region of the sample. We show that, these stresses are almost equal to&nbsp;that arising from the FE simulations. The homogeineity of fields in the core region allows us to relate the Cauchy stresses to the&nbsp;applied forces (under condition that the boundary value problems are well controlled allowing to obtain uniform stresses). So,&nbsp;the experimental data arising from this test could be suitable for identification or/and validation of hyperelastic models.</p>}, number={1}, journal={Technische Mechanik - European Journal of Engineering Mechanics}, author={Bechir, Hocine and Yaya, Kamel and Djema, Amar}, year={2020}, month={Mar.}, pages={15–21} }