An asymptotic strain gradient Reissner-Mindlin plate model

作者：Serpilli Michele^*; Krasucki Francoise; Geymonat Giuseppe

来源：Meccanica, 2013, 48(8): 2007-2018.

DOI：10.1007/s11012-013-9719-6

• Asymptotic analysis
• Strain gradient elasticity
• Plate models
• Micro-plates

In this paper we derive a strain gradient plate model from the three-dimensional equations of strain gradient linearized elasticity. The deduction is based on the asymptotic analysis with respect of a small real parameter being the thickness of the elastic body we consider. The body is constituted by a second gradient isotropic linearly elastic material. The obtained model is recognized as a strain gradient Reissner-Mindlin plate model. We also provide a mathematical justification of the obtained plate model by means of a variational weak convergence result.

• 出版日期2013-10