从图像数据到微观结构信息--材料数字化核心的精度分析
From image data towards microstructure information -- accuracy analysis at the digital core of materials
摘要：
在数字化转型的背景下，计算固体力学的基石是从先进的层析成像技术获得的微结构数据库。二维像素化图像的均匀离散化是模拟分析的原始数据出发点。本文提出了一个统一的误差分析的概念，为基于图像的微结构表示在统一的分辨率以及自适应粗化离散。分析区分建模误差，由于有限的，可能粗化的图像分辨率和离散化误差，研究它们的定量关系，空间分布和它们的影响的模拟结果在微观和宏观尺度的计算均匀化的背景下。针对示例性两相材料进行准确度和效率的评估。除了这里考虑的例子，这个概念是一个合理的工具，在原始图像数据转换成微结构信息适应特定的模拟需要，并赋予真实微结构的数字孪生验证的可靠性，预测性模拟的特点。
英文摘要：
A cornerstone of computational solid mechanics in the context of digital transformation are databases for microstructures obtained from advanced tomography techniques. Uniform discretizations of pixelized images in 2D are the raw-data point of departure for simulation analyses. This paper proposes the concept of a unified error analysis for image-based microstructure representations in uniform resolution along with adaptively coarsened discretizations. The analysis distinguishes between a modeling error due to finite, possibly coarsened image resolution and a discretization error, investigates their quantitative relation, spatial distributions and their impacts on the simulation results both on the microscale and the macroscale in the context of computational homogenization. The assessment of accuracy and efficiency is carried out for an exemplary two-phase material. Beyond the example considered here the concept is a rational tool in the transformation of raw image data into microstructure information adapted to particular simulation needs and endows the digital twin of real microstructures with validated characteristics for reliable, predictive simulations.
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