A mixed integration point (MIP) formulation for hyperelastic Kirchhoff–Love shells for nonlinear static and dynamic analysis

Abstract

We present a mixed integration point (MIP) formulation for hyperelastic isogeometric Kirchhoff–Love shells. While previous works have proposed mixed integration point schemes for different structural formulations in the context of geometric nonlinearity, we extend this concept to the large strain regime in this paper. The non-trivial extension to the nonlinear dynamic analysis for these materials based on the one-step energy-conserving method is also proposed. We present a general, consistent derivation of the formulation, which is not restricted to Kirchhoff–Love shells, hyperelastic materials, or isogeometric analysis, but can be applied to any structural problem involving geometric and material nonlinearities. Several numerical benchmark examples demonstrate the applicability and efficiency of the method.