A multifiber Timoshenko beam with embedded discontinuities

Abstract

An enhanced high order multifiber Timoshenko beam is introduced to simulate structural behavior up to failure. The beam is displacement based and geometrically linear, its section can be of arbitrary shape and a local constitutive law is assigned to each fiber. The Strong Discontinuity Approach is adopted to enhance the displacement field of the fibers to describe crack openings. The material behaviour at the discontinuity is characterized by a linear cohesive law linking the axial stress and the displacement jump. The variational formulation is presented in the context of the incompatible modes method and details are given on the corresponding computational procedure and the numerical integration of the constitutive laws. The simulation of the non linear behavior of a cantilever beam structure and of a reinforced concrete frame are provided to illustrate the performance of the novel enhanced high order multifiber Timoshenko beam.

Hybrid of monolithic and staggered solution techniques for the computational analysis of fracture, assessed on fibrous network mechanics

“…The E-FEM has received significant attention in the description of failure in truss-bars, beams, and structures thereof [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68]. No crack-tracking algorithm is then needed [69].…”

A shear warping kinematic enhancement for fiber beam elements with a damaging cross-section

“…The internal variables are defined from the extension strain ε µt and compressive strain ε µc in equation (28). The strains are computed from the two first strain tensor invariants I ε and J ε , as described in equation (29). ε µt 0 and ε µc 0 represent the damage thresholds.…”

Effect of early age drying shrinkage on the seismic response of RC structures

“…Each of these scales can be enhanced by adding internal degrees of freedoms. At the element scale: Internal degrees of freedom can be added to the Timoshenko beam elements in order to account for embedded discontinuities [52] (to take into account the development of cracks within the element or plastic hinges). At the section scale, internal degrees of freedom can be added to account for warping, shear and lateral connements due to stirrups [53], thus by enhancing the section kinematic.…”