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从均匀变形率场中各种取向滑移系硬化的基本特征出发,提出了新的单晶硬化系数表示式,内含12个材料常数,各有明确的物理意义,进而以精确模拟宏观力学性质为目标,利用非线性规划理论建立了一种准确可靠又行之有效的材料常数标定方法,作为例子,使用非线性规划中的改进Ganss-Newton法与梯度法相结合的算法、根据典型单轴拉伸实验曲线确定了铜与铝单晶的材料常数,预测了它们在多种位向上拉伸变形时的应力应变响应,与实验结果吻合良好。
Based on the basic characteristics of various orientation slip systems in the uniform deformation rate field, a new expression of single-crystal hardening coefficient is proposed, which contains 12 material constants, each of which has clear physical meaning, and then accurately simulates macroscopic mechanical properties As an example, an accurate and reliable calibration method of material constants is established by using nonlinear programming theory. As an example, the improved Ganss-Newton method combined with gradient method in nonlinear programming is used. According to the typical uniaxial tension Stretching experimental curves determine the material constants of copper and aluminum single crystal, predicting their stress-strain response when tensile deformation in a variety of positions upward, which is in good agreement with the experimental results.