Analysis of 1-D Tension Stiffening with Discrete Cracks

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Title: Analysis of 1-D Tension Stiffening with Discrete Cracks

Author(s): D. Z. Yankelevsky and M. Jabareen

Publication: Special Publication

Volume: 225

Issue:

Appears on pages(s): 55-82

Keywords: analysis; bond stress; discrete cracks; reinforced concrete; tension stiffening

Date: 3/1/2005

Abstract:
The fundamental problem of tension stiffening under consideraton is composed of a reinforcing bar that is surrounded by a concrete cylinder. A tensile force that is applied at the rebar ends produces variable tension along the rebar, due to bond stresses acting along the rebar-concrete common interface. When the applied load increases, cracking of the concrete occurs and internal stress redistribution develops as a result, accompanied by the composite’s stiffness decrease. The loading process terminates when finally the rebar yields. That continuous process of variation of stiffness with the applied load is formulated in a new 1-D model, that provides a complete prediction of the variation of stresses and displacements in the concrete and the rebar. It also predicts the locations of discrete cracks and their width at any load level. The paper presents the new model and some numerical results demonstrate its capabilities.