MIXED FORMULATION OF NONLINEAR STEEL-CONCRETE COMPOSITE BEAM ELEMENT

By A. Ayoub, Filippos Filippou. 2000

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Locking-free two-layer Timoshenko beam element with interlayer slip (2007, methodology): “Among all those numerical methods, the majority of researchers have employed the displacement-based [16, 18], force-based [19] and mixed [18–22] finite element method.”
Variational principle of partial-interaction composite beams using Timoshenko's beam theory (2012, background): “In the above-mentioned some works concerning FEM [18–31], the principles of virtual work and minimum potential energy were used to derive the formulation of the elements.”
A mixed finite element method for beam and frame problems (2003, unknown): “With the work of Ayoub and Filippou [28, 29] attempts are undertaken to generalize the formulation to mixed methods with independent interpolation of force and displacement variables for applications with displacement dependent equilibrium equations.”