Concrete is a pressure-sensitive material. To ensure the safety of structures, it is required to understand the mechanical behavior of concrete. The stress-strain relation of concrete is highly nonlinear and pressure dependent. Therefore, design problems involving concrete materials need an appropriate constitutive model to quantify its stress-strain relation. Presented in this paper is a new cap-type constitutive law for concrete. The model is prominent in the sense that it satisfies the compatibility between the failure surface and the yield cap. It has modified the classical cap model to obtain smooth yield surfaces. In addition, the model effectively describes strength variations along various directions in the octahedral plane. The model has shown to realistically predict concrete responses in experiments by 7 parameters. The proposed concept can also be extended to include as many previous models for describing various observed material behavior as it is required.
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