Nonlinear static bending analysis of microplates resting on imperfect two-parameter elastic foundations using modified couple stress theory

The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. The finite element method based on the modified couple stress theory is used to derive the nonlinear finite element formulations. The present theory and mathematical...

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Bibliographic Details
Published inComptes rendus. Mecanique Vol. 350; no. G1; pp. 121 - 141
Main Authors Thai Dung, Nguyen, Minh Thai, Le, Van Ke, Tran, Thi Huong Huyen, Truong, Van Minh, Phung
Format Journal Article
LanguageEnglish
Published Académie des sciences 01.01.2022
Subjects
Imperfect elastic foundations
Microplates
Modified couple stress
Nonlinearity
Static bending
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Summary:The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. The finite element method based on the modified couple stress theory is used to derive the nonlinear finite element formulations. The present theory and mathematical model are validated by comparisons of this work’s results with those of other reputable publications, which show a very good agreement. The influences of length-scale parameter, nonlinearity, elastic foundation parameters, imperfect foundations, and boundary conditions on the nonlinear static bending response of microplates are then explored. The computed data of this study is very intriguing, particularly the interaction of the microplate with the imperfect elastic foundation, and this helps us better understand the mechanical behavior of this structure.
ISSN:1873-7234
1873-7234
DOI:10.5802/crmeca.105