Solutions for Discontinuous Bifurcation Analysis of SFRC

Abstract

In this work, the main properties of the discontinuous bifurcation conditions for Steel Fiber Reinforced Concrete (SFRC) under different scenarios of stress states, fiber contents and directions are derive and evaluated by the spectral properties of the critical localization tensor. A fracture energy-based elastoplastic constitutive theory is considered for the concrete matrix. The contribution of three different phases, i. e. concrete matrix, steel fibers bond-slip and dowel matrix-fibers effects are taken into account through the Mixture Theory. Numerical results demonstrate the appropriate performance of the localization indicator regarding different fiber volumes and distributions.