Abstract
Complex geometric models are usually built with multiple NURBS patches with non-conforming interfaces, which bring difficulties within the isogeometric analysis. In this paper, Nitsche’s method is employed to glue different patches for nonlinear isogeometric analysis of hyperelastic material models which are widely used to describe the material behavior of rubbers, foams, biological tissues, etc. Nitsche based weakly governing equations and discretized stiffness matrices are detailedly developed in total Lagrangian form for isogeometric implementation. Different popular hyperelastic materials including Neo–Hookean, Mooney–Rivlin and Yeoh materials are employed for derivation. The Legendre–Gauss quadrature rule is used for numerical calculation. Several numerical examples in two dimensions are performed and compared with the results from commercial software to verify the validity of the proposed method and show the prospect in solving engineering problems.
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