To overcome the difficulty in the convergence of hysteretic analysis on numerical calculation by available models for concrete, an incompatible D-P model was proposed to simulate concrete based on the classical Drucker-Prager(D-P for short) model with modified cap yield criterion. A large amount of trial calculation was implemented to reveal the rational range of incompatible parameters αandk. The proposed model was used to simulate the mechanical behavior of a reinforced concrete specimen under monotonic load at mid-span, as well as hysteretic behavior of a reinforced concrete specimen and a steel reinforced specimen under low cyclic loading separately. By comparing with the experimental results, the adaptability of the model was verified adequately, and the restoring force model of concrete specimen under low cyclic loading could be obtained through numerical calculation.
