Inversion of polyphase calcite twin data for deviatoric stress tensors: 1. A novel numerical approach
Inversion of polyphase calcite twin data for deviatoric stress tensors: 1. A novel numerical approach
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偏应力张量的多相方解石孪晶数据反演：1.一种新颖的数值方法
DOI：
10.1016/j.jsg.2019.103873
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发表时间：
2019-11
影响因子：
3.1
通讯作者：
Liang Xinquan
中科院分区：
文献类型：
--
作者：
Shan Yehua;Zheng Jian;Liang Xinquan
本文提出了一种新的反演方法来估计多相方解石孪晶的偏应力张量。既要使常见的不相容（孪晶和非孪晶）e面数量最小化，又要使每次减小应力下沿相容性孪晶e面分解的剪应力总和最大化。采用遗传算法求解该优化问题。在规定应力下生成的一系列两相均匀混合的人工数据集证明了该方法的可行性。结果表明，随着规定的最大应力差、规定应力差和孪晶方解石数量的增加，减小应力的精度有增加的趋势。更重要的是，最大应力差变得足够大，即使规定的应力彼此之间是中等相似的，也可以准确地估计出减小的应力。然而，该方法假设一个恒定的临界分解剪切应力值来重新调整应力张量，并且没有考虑应变硬化、晶粒尺寸和温度对临界分解剪切应力值的影响。计算要花费大量的时间。
A new inversion method is developed in this paper to estimate deviatoric stress tensors from a certain population of polyphase calcite twins. It is both to minimize the number of the common incompatible (twinned and untwinned) e-planes and to maximize the sum of the resolved shear stresses along the compatible twinned e-planes under each reduced stress. The genetic algorithm is employed to resolve this optimization problem. A series of two-phase, equally-mixed artificial datasets, generated under the prescribed stresses, were taken to demonstrate the feasibility of this method. Results indicate a strong tendency to have an increasing accuracy of reduced stress with the ascent of the prescribed maximum differential stress, the difference between the prescribed stresses, and the number of twinned calcite crystals, respectively. What is more, the maximum differential stress becomes sufficiently large to permit an accurate estimate of reduced stress, even though the prescribed stresses are intermediately similar to each other. However, the method assumes a constant critical resolved shear stress value to rescale the stress tensors, and does not consider the influence on the critical resolved shear stress value of strain hardening, grain size, and temperature. It takes an enormous amount of time in calculation.
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