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Informing Mechanical Model Development Using Lower-Dimensional Descriptions of Lattice Distortion
Integrating Materials and Manufacturing Innovation ( IF 2.4 ) Pub Date : 2020-12-11 , DOI: 10.1007/s40192-020-00196-y
Darren C. Pagan , Gideon H. Schmidt , Andy D. Borum , Timothy J. Long , Armand J. Beaudoin

This paper describes a method combining in situ X-ray diffraction data and dimensionality reduction (local linear embedding) to inform the development of state variable plasticity models. The method is applied to developing a state variable plasticity model for pure nickel deformed in uniaxial tension in the small strain regime. Prior to model development, connections between state variables representing evolution of mobile dislocations and the lower-dimensional representations of the data are established. Correlations between lower-dimensional representation of data and state variable evolution motivate the introduction of new evolution equation terms to increase alignment between experiment and model. These terms capture dislocation interactions leading to hardening transients prior to steady-state plastic flow. The discussion focuses on interpreting these new evolution terms and outstanding issues associated with linking lower-dimensional representations of data to state variable evolution modeled with ordinary differential equations.



中文翻译:

使用晶格畸变的低维描述通知机械模型开发

本文介绍了一种结合原位X射线衍射数据和降维(局部线性嵌入)的方法来告知状态变量可塑性模型的开发方法。该方法用于建立在小应变状态下单轴拉伸变形的纯镍的状态变量可塑性模型。在模型开发之前,建立表示移动位错演变的状态变量与数据的低维表示之间的联系。数据的低维表示与状态变量演化之间的相关性促使引入新的演化方程项,以提高实验与模型之间的一致性。这些术语捕获位错相互作用,从而导致稳态塑性流动之前的硬化瞬变。

更新日期:2020-12-12
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