A new strain energy function to characterize apple and potato tissues

• A mechanical model for tissues is developed for finite deformation.
• Model is fitted to the various experimental data of apple and potato tissues.
• Good agreement between predicted values and experimental values is obtained.
• Obtained results are compared to the results given in literature.
• Obtained results are better in respect of R2 and SD than the previous results.

The article presents a mechanical model to characterize apple and potato by considering tissues as a lattice of hexagonal cellular structure under an external load. It has been considered that the tissues are isotropic, incompressible, homogeneous, thin, and shows hyperelastic behavior. The aptness of the proposed model is explored in the light of numerous experimental data of the apple and potato tissues in isotropic condition. A Levenberg–Marquardt algorithm is used to estimate material constants of the model based on the regression between predicted results and experimental data. Comparisons are made between our results and previous studies and are shown graphically as well as in the form of tables. A good fit of the proposed model is obtained with available experimental data. It was found that tension in tissues increases exponentially as stretch ratio increases.