Hybrid equilibrium element with high?order stress fields for accurate elastic dynamic analysis

In the present article two-dimensional hybrid equilibrium element formulation is initially developed, with quadratic, cubic, and quartic stress fields, for static analysis of compressible quasi-incompressible elastic solids in variational framework minimum complementary energy principle. Thereafter, high-order developed dynamic Toupin principle, which form Hamilton The Newmark time integration scheme introduced discretization fields domain both solid ones. provides very accurate solutions a field results analyses are compared solution classic displacement-based quadratic formulation, showing convergence two formulations to exact satisfying performance proposed especially solids.