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首页> 外文期刊>Philosophical Magazine Letters >A novel method for constructing the mean field of grain-orientation-dependent residual stress
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A novel method for constructing the mean field of grain-orientation-dependent residual stress

机译：一种构造与晶粒取向有关的残余应力平均场的新方法

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The heterogeneity of grain-orientation-dependent residual stress (ODRS) in polycrystalline materials has received a great deal of attention in the past few years. This letter describes a novel method, called the spherical harmonics approach (SHA), for analysing ODRS. The stress orientation distribution function (SODF) is defined to describe quantitatively the mean field of the residual stress as a function of grain orientation in the Euler space. This stress field can be expanded in terms of generalized spherical harmonics, and its series coefficients can be determined directly from lattice strain maps (strain pole figures). While solving the deconvolution problem of this stress field, the stress or strain equilibrium between neighbouring grains is considered simultaneously by implementing a self-consistent model in the iterative algorithm. The application of the SHA is illustrated by the construction of the SODF for a cold-rolled and annealed austenite stainless steel, using strain pole figures obtained by neutron diffraction.
机译：在过去的几年中，多晶材料中与晶粒取向有关的残余应力（ODRS）的异质性受到了广泛的关注。这封信描述了一种新颖的方法，称为球谐方法（SHA），用于分析ODRS。定义了应力取向分布函数（SODF），以定量描述残余应力的平均场与Euler空间中晶粒取向的关系。可以根据广义球谐函数来扩展该应力场，并且可以从晶格应变图（应变极图）直接确定其应力系数。在解决该应力场的反卷积问题时，通过在迭代算法中实现自洽模型，可以同时考虑相邻晶粒之间的应力或应变平衡。 SHA的应用通过使用中子衍射获得的应变极图，通过用于冷轧和退火奥氏体不锈钢的SODF构造来说明。

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