Derivation of the exact stiffness matrix for a two-layer Timoshenko beam element with partial interaction

On the influence of interfacial properties to the bending rigidity of layered structures

“…Xu and Wu (2007) obtained analytical solutions for beams subjected to uniformly distributed load with different boundary conditions. More commonly, numerical method are employed to solve the nonlinear problems (Ayoub and Filippou (2000), Salari and Spacone (2001), Cas et al (2004), Nguyen et al (2011). It is noted that while previous works laid out the basic strategy to analyze bilayer beams, there is no comprehensive theoretical work to show how the stiffness of layered materials depends on interfacial properties.…”

Static and dynamic analysis of beam assemblies using a differential system on an oriented graph

“…3. Some details related to this problem have been studied in [32][33][34] focusing on the properties of the beam itself.…”

“…Náprstek, C. Fischer / Computers and Structures 155 (2015)[28][29][30][31][32][33][34][35][36][37][38][39][40][41] …”

Geometrically nonlinear analysis of hybrid beam–column with several encased steel profiles in partial interaction

“…The development of formulation is based on the extension of previous works on the behavior of composite beam with interlayer slip. Most of the work on composite beam with partial interaction is restricted to the case of two layers (see for among others [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]) and multi-layered beams have received less attention. Ranzi [19] proposed two types of displacement-based elements to evaluate locking problems in partial interaction of multi-layered beams based on Euler-Bernoulli kinematics.…”