A NOVEL MULTI-FIBER TIMOSHENKO BEAM FINITE ELEMENT FORMULATION WITH EMBEDDED DISCONTINUITIES TO SIMULATE THE BEHAVIOR OF REINFORCED CONCRETE STRUCTURE TILL FAILURE

Abstract eng:
A novel multi-fiber beam finite element formulation based on the Timoshenko model [1], [2] is proposed in this paper to simulate failure of reinforced concrete structural elements. The beam cross section is divided into fibers of concrete and steel. The behavior of these fibers is described with a continuum-discrete approach. In the bulk of the material, concrete fibers behave following a continuum damage mechanics law and steel fibers have a continuum elasto-plastic behaviour. A strong discontinuity is introduced, using the embedded discontinuity approach, to enrich the displacement field of the fibers in order to describe the opening of cracks in concrete and the development of plastic hinges in steel. The material behavior at the discontinuity is characterized by a discrete law linking the axial stress and the displacement jump through a linear relation, which allows capturing the released fracture energy. The variational formulation is presented in the context of the incompatible modes method. Moreover, the additional enhanced discontinuity modes are statically condensed at the fiber level. The corresponding computational procedure is also detailed. Several numerical applications and general remarks are finally provided to illustrate the performance of the proposed finite element.

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