MOMENT FINITE ELEMENT FOR SOLVING 3D ELASTICITY PROBLEMS

The implementation of a new 8-node finite element for solving 3D elasticity static problems is considered. idea this based on the projection rare mesh FEM scheme into space lower dimension. resulting hexahedral has number features compared to classical polyline element. This one integration point in eight element, as well presence four parameters that allow you adjust convergence computational process. In given stresses their moments (three bending and torsional) are assumed be constant within Also, continuity displacement fields preserved only nodes elements. circumstance not disadvantage characteristic many numerical schemes (suffice it mention recently actively developed direction discontinuous Galerkin method). issues using well-known problem increased shear stiffness (shear locking) discussed. hourglass instability, which typical with reduced other schemes, particular, Wilkins scheme, popular dynamic plasticity problems, also technique solution three-dimensional theory basis framework traditional vector-matrix notation described. results test presented.