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The Reissner-Mindlin plate is the Y-limit of Cosserat elasticity

Tipo de material: TextoTextoSeries ; Mathematical Models and Methods in Applied Sciences, 20(09), p.1553-1590, 2010Trabajos contenidos:
  • Neff, P
  • Hong, K. I
  • Jeong, J
Tema(s): Recursos en línea: Resumen: The linear Reissner-Mindlin membrane-bending plate model is the rigourous ?-limit for zero thickness of a linear isotropic Cosserat bulk model with symmetric curvature. For this result we use the natural nonlinear scaling for the displacements u and the linear scaling for the infinitesimal microrotations A ? so(3). We also provide formal calculations for other combinations of scalings by retrieving other plate models previously proposed in the literature by formal asymptotic methods as corresponding ?-limits. No boundary conditions on the microrotations are prescribed.
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The linear Reissner-Mindlin membrane-bending plate model is the rigourous ?-limit for zero thickness of a linear isotropic Cosserat bulk model with symmetric curvature. For this result we use the natural nonlinear scaling for the displacements u and the linear scaling for the infinitesimal microrotations A ? so(3). We also provide formal calculations for other combinations of scalings by retrieving other plate models previously proposed in the literature by formal asymptotic methods as corresponding ?-limits. No boundary conditions on the microrotations are prescribed.

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