C1 Natural Element Method for Couple-Stress Elasticity
The shape functions in C1 natural element method (C1 NEM) are built upon the natural neighbor interpolation (NNI), and realize the interpolation to nodal function and nodal gradient values, so that the essential boundary conditions (EBCs) can be imposed directly in a Galerkin scheme for the partial differential equations (PDEs). In the present paper, C1 NEM for couple-stress (CS) elasticity is constructed, and the typical example which has analytical solutions is presented to illustrate the effectiveness of the constructed method.
Paul P. Lin and Chunliang Zhang
R. J. Han and Z. F. Nie, "C1 Natural Element Method for Couple-Stress Elasticity", Applied Mechanics and Materials, Vols. 105-107, pp. 370-373, 2012