Interface coupling method for the global–local analysis of heterogeneous models: A second-order homogenization-based strategy
2020; Elsevier BV; Volume: 365; Linguagem: Inglês
10.1016/j.cma.2020.113032
ISSN1879-2138
AutoresMaxence Wangermez, Olivier Allix, Pierre‐Alain Guidault, Oana Ciobanu, Christian Rey,
Tópico(s)Advanced Mathematical Modeling in Engineering
ResumoThis paper proposes a coupling strategy between a homogeneous macroscopic description of a structure and a description at a lower scale of some local details. In order to facilitate its implementation in industrial software, an interface coupling technique using a separation between micro and macro quantities of the unknowns is proposed. The approach leads to local solutions equivalent to those that would be obtained by second-order homogenization techniques. Its interest is that it does not require neither the construction of a second-order homogenized model nor a localization stage. The approach is validated against direct numerical simulations at microscopic scale on periodic structures under uniform and linear macroscopic strains loads.
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