A dual interpolation boundary face method with Hermite-type approximation for elasticity problems

Abstract This paper proposed the dual interpolation boundary face method with Hermite-type approximation for elasticity problems. Considering the physical relationship between displacement and traction, we also firstly present the Hermite-type approximation for elasticity problems. Compared with the standard moving least-square (MLS) approximation, shape functions in Hermite-type approximation are directly constructed with Cartesian coordinates rather than parameter coordinates. This new approach can attain high accuracy and efficiency, the same as original dual interpolation boundary face method (DiBFM). Furthermore, the influence domain in the Hermite-type approximation can cover multiple edges. Thus, compared with the original DiBFM, this new scheme is more suitable for handling structures with thin walls and small features. Numerical examples with engineering background have illustrated the accuracy, efficiency and practicality of the method.