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改进了Duncan-Chang模型的切线模量,并证明改进模型能克服传统模型应力应变曲线的数学缺陷。在获得多组三轴试验参数的基础上,利用Matlab中的lsqcurvefit函数对Duncan-Chang切线模量和改进切线模量进行回归分析。结果表明:改进切线模量的残差平方和比Duncan-Chang模型切线模量的残差平方和小,因而改进模型能更好地模拟实际情况;试验参数取平均值时改进切线模量的残差平方和比其利用回归分析所得的残差平方和大,说明利用回归分析法拟合试验参数是一种很好的途径,其结果更符合材料客观平均状态。
The tangent modulus of Duncan-Chang model is improved, and the improved model can overcome the mathematical defect of the stress-strain curve of traditional model. On the basis of obtaining a plurality of sets of triaxial test parameters, the regression analysis of the Duncan-Chang tangent modulus and the improved tangent modulus is performed by using the lsqcurvefit function in Matlab. The results show that the square error of the modified tangent modulus is smaller than that of the tangent modulus of Duncan-Chang model. Therefore, the improved model can better simulate the actual situation. When the experimental parameters are averaged, the tangent modulus is improved The sum of squared differences is larger than the sum of squared residuals obtained by regression analysis. It shows that fitting the experimental parameters by regression analysis is a good way, and the result is more in line with the objective average state of materials.