Geometric non-linearity in a multi-fiber displacement-based finite element beam model – An enhanced local formulation under torsion

This paper deals with a geometrically nonlinear finite element formulation for the analysis of torsional behaviour of RC members. Using the corotational framework, the formulation is developed for the inclusion of nonlinear geometry effects in a multi-fiber finite element beam model. The assumption of small strains but large displacements and rotations is adopted. The principle is an element-independent algorithm, where the element formulation is computed in a local reference frame which is uncoupled from the rigid body motions (translations and rotations) of the reference frame. In the corotational based frame, strains and stresses are measured from corotated to current, while base configuration is maintained as reference to measure rigid body motions.
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Geometric non-linearity in a multi-fiber displacement-based finite element beam model – An enhanced local formulation under torsion