Stretch-Based Hyperelastic Material Formulations for Isogeometric Kirchhoff–Love Shells with Application to Wrinkling

Modelling nonlinear phenomena in thin rubber shells calls for stretch-based material models, such as the Ogden model which conveniently utilizes eigenvalues of deformation tensor. Derivation and implementation models have been already made Finite Element Methods. This is, however, still lacking shell formulations based on Isogeometric Analysis, where higher-order continuity spline basis is employed improved accuracy. paper fills this gap by presenting isogeometric Kirchhoff–Love shells. We derive general explicit treatment terms derivatives strain energy density functions with respect to principal stretches (in)compressible determination well spectral transformations required. Using several numerical benchmarks, we verify our invariant-based Neo-Hookean Mooney–Rivlin a model. In addition, applied simulate collapsing behaviour truncated cone it used tension wrinkling sheet.