Homogenization of an elastic material reinforced by very strong fibres arranged along a periodic lattice
نویسندگان
چکیده
We provide in this paper homogenization results for the L 2 -topology leading to complete strain-gradient models and generalized continua. Actually, we extend obtained (Abdoul-Anziz & Seppecher, 2018 Homogenization of periodic graph-based elastic structures. Journal de l’Ecole polytechnique–Mathématiques 5 , 259–288) using a topology adapted minimization problems set varying domains. Contrary consider lattices embedded soft matrix. Thus our study is placed usual framework homogenization. The contrast between stiffnesses matrix reinforcement zone assumed be very large. prove that suitable choice stiffness on weak part ensures compactness minimizing sequences while energy contained disappears at limit: Γ-limit energies obtain are identical those 259–288).
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ژورنال
عنوان ژورنال: Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2021
ISSN: ['1471-2946', '1364-5021']
DOI: https://doi.org/10.1098/rspa.2020.0620