2. Benchmark solution

It is a numerical - experimental comparison. The work of La Borderie & Pijaudier-Cabot [bib1] consisted in a campaign of pull-out tests carried out on fibers and reinforcements for reinforced concrete. The purpose of these tests was to study the influence of the stress state in the matrix on the mechanical properties of the interface.

Each specimen was a \(80\mathrm{\times }80\mathrm{\times }80\mathit{mm}\) cube whose concrete paste was \(\mathit{Grade}\mathit{C30}\mathrm{/}37\) (\(16\mathrm{mm}\) gravel) with a strength at the time of the test (three days after pouring and with a heat treatment of 4 hours) of \(14.5\mathrm{MPa}\), a Young’s modulus of \(15500\mathit{MPa}\) and a Poisson’s ratio of \(\mathrm{0,17}\). For the reinforcements, they used high-adhesion bars of \(8\mathrm{mm}\) in diameter, with a length of steel-concrete contact of \(45\mathrm{mm}\), plus \(10\mathrm{mm}\) free at the edge of the concrete, which made it possible to eliminate the singularities in the field of concrete stresses in the field of concrete stresses in the embedded surface of the cube. The test was carried out with controlled movements (\(\dot{u}=8.3\times 10E-3\mathrm{mm}/s\)) and four levels of confinement: \(\mathrm{0,}5\), \(10\) and \(15\mathrm{MPa}\), which were constant during each experiment.

2.1 Bibliographical references

• LA BORDERIE C. & PIJAUDIER - CABOT G. - Experimental study of the behavior of reinforced materials: Experimental determination of the behavior laws of the fiber-matrix interface. Mechanics and Technology Laboratory (LMT); ENS Cachan/ CNRS /Paris 6 University; Contract I 70/1F 3146 with Electricity de France, 1994