Identification of microstructural information from macroscopic boundary measurements in steady‐state linear elasticity

نویسندگان

چکیده

We consider the upscaled linear elasticity problem in context of periodic homogenization. Based on measurements deformation (macroscopic) boundary a body for given forcing, it is aim to deduce information geometry microstructure. For parametrized microstructure, we are able prove that there exists at least one solution associated minimization based L 2 $$ {L}^2 -difference measured and resulting parameter. To facilitate use gradient-based algorithms, derive Gâteaux derivatives using Lagrangian method Céa, present numerical experiments showcasing functioning method.

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ژورنال

عنوان ژورنال: Mathematical Methods in The Applied Sciences

سال: 2022

ISSN: ['1099-1476', '0170-4214']

DOI: https://doi.org/10.1002/mma.8581