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 resolution error due to finite, possibly coarsened image resolution and a discretization error, and 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.

中文翻译：

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从图像数据到微观结构信息——材料数字化核心的精度分析

数字转换背景下计算固体力学的基石是从先进的断层扫描技术获得的微观结构数据库。2D 中像素化图像的均匀离散化是模拟分析的原始数据起点。本文提出了统一误差分析的概念，用于以均匀分辨率以及自适应粗化离散化的基于图像的微观结构表示。该分析区分了由有限的、可能粗化的图像分辨率引起的分辨率误差和离散化误差，并在计算均匀化的背景下研究了它们的定量关系、空间分布及其对微观和宏观模拟结果的影响。对示例性两相材料进行准确性和效率的评估。除了此处考虑的示例之外，该概念是将原始图像数据转换为适合特定模拟需求的微观结构信息的合理工具，并赋予真实微观结构的数字孪生体经过验证的特性，以实现可靠的预测性模拟。