Asymptotic analysis of plates in static and dynamic strain gradient elasticity
Issued Date
2022-01-01
Resource Type
ISSN
16310721
eISSN
18737234
Scopus ID
2-s2.0-85139349867
Journal Title
Comptes Rendus - Mecanique
Volume
350
Start Page
325
End Page
342
Rights Holder(s)
SCOPUS
Bibliographic Citation
Comptes Rendus - Mecanique Vol.350 (2022) , 325-342
Suggested Citation
Licht C., Weller T. Asymptotic analysis of plates in static and dynamic strain gradient elasticity. Comptes Rendus - Mecanique Vol.350 (2022) , 325-342. 342. doi:10.5802/crmeca.118 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/84625
Title
Asymptotic analysis of plates in static and dynamic strain gradient elasticity
Author's Affiliation
Other Contributor(s)
Abstract
We study the steady-state and transient responses of a second-order elastic plate by implementing an asymptotic analysis of the three-dimensional equations with respect to two geometric characteristics seen as parameters: the thickness of the plate and an inner material length. Depending on their ratio, four different models arise. Conditions under which Reissner-Mindlin kinematics may appear are discussedwhile the influence of crystalline symmetries is studied. The transient situation is solved through Trotter's theory of approximation of semi-groups of operators acting on variable spaces.