2020/09/04 by Bernhard Eidel, Andreas Fischer, Eidel, Bernhard +3
Computer Science · Engineering · #65N30 #74G15 #74G65 #74Q05 #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #FOS: Mathematics #Mineral Processing and Grinding #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2009.02180
openalex publication_date 2020/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A cornerstone of computational solid mechanics in the context of digital\ntransformation are databases for microstructures obtained from advanced\ntomography techniques. Uniform discretizations of pixelized images in 2D are\nthe raw-data point of departure for simulation analyses. This paper proposes\nthe concept of a unified error analysis for image-based microstructure\nrepresentations in uniform resolution along with adaptively coarsened\ndiscretizations. The analysis distinguishes between a modeling error due to\nfinite, possibly coarsened image resolution and a discretization error,\ninvestigates their quantitative relation, spatial distributions and their\nimpacts on the simulation results both on the microscale and the macroscale in\nthe context of computational homogenization. The assessment of accuracy and\nefficiency is carried out for an exemplary two-phase material. Beyond the\nexample considered here the concept is a rational tool in the transformation of\nraw image data into microstructure information adapted to particular simulation\nneeds and endows the digital twin of real microstructures with validated\ncharacteristics for reliable, predictive simulations.\n