建立了便于敏度分析的偶应力反问题数值求解模型,给出了直接法和伴随法两种敏度计算格式。在反演计算中采用了高斯牛顿技术对未知本构参数进行识别,探讨了测点数目、初值选取和数据噪音对反演结果的影响,数值算例给出了令人满意的结果。
This paper presents a general numerical model facilitating to the sensitivity analysis for solving the inverse couple stress problem. A FE based numerical model is developed to formulate direct problem, and direct and adjoint methods are used to conduct on the sensitivity analysis. Gauss-Newton technique is employed to identify unknown constitutive parameters with the consideration of material inhomogeneity. The effects of initial guess, number of sample points and data noise on the solutions are investigated, and satisfactory results are exhibited in the numerical verification.