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基于材料切削过程的有限元仿真结果和切削实验数据,提出一种采用多元函数的下山单纯形法来修正材料的本构方程系数的改进方法。该方法充分考虑材料Johnson-Cook(JC)本构方程系数的物理意义,将修正系数数目从5个(A、B、n、C、m)降低为2个(C、m),从而减少了修正过程中40%的有限元仿真工作量。将改进方法获得的45钢JC本构方程系数代入Advant Edge软件,预测出的主切削力Fc和切削推力Ft的平均相对误差分别为13.82%和10.04%,与原方法产生的误差基本相当,从而验证了所提方法的有效性和可行性。
Based on the finite element simulation results and cutting experimental data of the material cutting process, an improved method of correcting the constitutive equation coefficients of the material by using the downhill simplex method of multivariate functions is proposed. The method fully considers the physical meaning of the coefficients of constitutive equation of Johnson-Cook (JC) and reduces the number of correction coefficients from 5 (A, B, n, C, m) to 2 (C, m) 40% of the finite element simulation workload during the correction. Adopting the Advant Edge software, the coefficients of constitutive equations of 45 steel JC obtained by the improved method are 13.82% and 10.04% respectively, which are basically the same as the error of the original method Verify the effectiveness and feasibility of the proposed method.