A finite element method with discontinuous rotations for the Mindlin-Reissner plate model

作者：Han**o Peter^*; Heintz David; Larson Mats G

来源：Computer Methods in Applied Mechanics and Engineering, 2011, 200(5-8): 638-648.

DOI：10.1016/j.cma.2010.09.009

• Nitsche's method
• Discontinuous Galerkin
• Plate model
• Error estimates

We present a continuous-discontinuous finite element method for the Mindlin-Reissner plate model based on continuous polynomials of degree k >= 2 for the transverse displacements and discontinuous polynomials of degree k - 1 for the rotations. We prove a priori convergence estimates, uniformly in the thickness of the plate, and thus show that locking is avoided. We also derive a posteriori error estimates based on duality, together with corresponding adaptive procedures for controlling linear functionals of the error. Finally, we present some numerical results.

• 出版日期2011