Analytical remarks on the anchorage of elastic–plastically bonded ductile bars

A simple analytical extension of Hermite–Bresson's results to the domain of the irreversible relative displacements allows the description of the non-linear force–displacement response of a tensile bar embedded in a massive support by means of an elastic–plastic bonding agent.The analytical model evidences the influence of the main governing parameters on the attainment of two ideal anchorage conditions of plasticity initiation occurring in the bar simultaneously with that of the bond material (anchorage length LIP), or of plasticity initiation occurring in the bar just after the complete yielding of this one (anchorage length LCP).The ratio between the expressions of these two anchorage lengths reveals an interesting, compact mathematical form of eloquent mechanical meaning which allows the immediate determination of anchorage length LIP.