PURPOSES : Concrete, which is a construction material, is the most widely used compression material; however, unlike steel, it exhibits nonlinear material characteristics. Therefore, to examine the behavior of structures under the nonlinear conditions of concrete materials, one must select an appropriate numerical-analysis technique and a reasonable material model. When performing the nonlinear numerical analysis of a structure using general-purpose structural analysis software, the stress–strain curve or the Mohr–Coulomb failure criterion is typically employed to consider the nonlinear material characteristics. In this study, an efficient nonlinear numerical analysis is conducted by defining the stress–strain curves and Mohr–Coulomb parameters applicable to Strand7 to examine and design the stability of reinforced concrete structures. METHODS : This study was conducted by improving existing data. Based on the tensile region of the concrete stress–strain curve presented in a simple shape and the results of the splitting test, the proposed Mohr–Coulomb parameter was improved based on regulations stipulated in the design standards of concrete structures. The characteristics and usability of the improved material models were examined using concrete splitting tensile and bending models. RESULTS : A yield area distribution similar to that of the reference data is obtained when the Mohr–Coulomb material model is used in the numerical analysis of the concrete splitting tension, thus confirming the validity of the model. In the Mohr–Coulomb material model, nonlinear resistance continues even after the maximum reaction force occurs. However, when the stress–strain curve material model is applied, at the moment the maximum reaction force occurs, the material yields and begins to be damaged. In addition, by applying the Mohr–Coulomb material model to the bending numerical-analysis model, the magnitude of stress in the tensile region from the initial stage exceeds the yield stress defined in the stress–strain curve. CONCLUSIONS : Based on a series of examples, the usability of the proposed concrete stress–strain curve and Mohr–Coulomb parameters is confirmed. However, to obtain numerical-analysis results that are consistent with the nonlinear behavior of actual structures, nonlinear testing of reinforced concrete structures shall be conducted and material models shall be improved.

고강도 PSC 콘크리트 휨부재의 비선형 수치해석을 위해 적층법과 설계기준에 의한 비선형 모멘트 -곡률 관계의 계산방법이 제안되었다. 제안된 수치해석에 의한 모멘트-곡률 관계와 처짐계산을 위한 비선형 수치해석 과정에 의한 계산결과는 해석적인 방법에 의한 모멘트-곡률 관계 그리고 기존의 고강도 PSC 콘크리트 휨부재에 대한 실험결과와 비교되었다. 이 논문의 적층법에 의한 에너지흡수율은 강도설계법과 CEB-FIP 제안식보다 약 30%크게 계산되었다. 적층법에 의한 극한하중과 외부일은 각각 실험결과의 92%와 85%로 안전하게 계산되었으며, 강도설계법은 97%와 122%로 극한하중에 대해서는 안전하나 외부일은 과대 평가되었다. CEB-FIP 제안식은 극한하중과 외부일에서 실험결과의 113% 와 173%로 고강도 콘크리트에 대한 극한변형률 0.0035의 적용에 문제가 있었다 제안된 비선형 수치해석 과정은 고강도 PS 콘크리트 휨부재의 거동을 극한상태까지 안정적으로 해석할 수 있었으며, 극한하중의 80%가지 하중-처짐 관계와 균열의 전파정도의 계산결과는 실험결과와 유사하였다