A P-1-P-3-NZT FEM for solving general elastic multi-structure problems
A new finite element method is introduced for solving general elastic multi-structure problems, where displacements on bodies, longitudinal displacements on plates, longitudinal displacements and rotational angles on rods are discretized by conforming linear elements, transverse displacements on rods and plates are discretized respectively by Hermite elements of third order and Zienkiewicz-type elements due to Wang, Shi, and Xu, and the discrete generalized displacement fields in individual elastic members are coupled together by some feasible interface conditions. The optimal error estimate in the energy norm is established for the method, which is also validated by some numerical examples.
elastic multi-structures error estimates new zienkiewicz-type elements