Abstract In the study of thick plates, an accurate description of shear strains is important in order to correctly predict the plate behavior. In the setting of two dimensional theories, improved accuracy with respect to Kirchhoff–Love and Reissner–Mindlin theories can be obtained by introducing higher order terms in the description of the displacement. In this paper, the third order theory proposed by Reddy (1984) for laminated plates is thoroughly evaluated for the isotropic plates. A corresponding finite element model is developed and implemented in a computer code for modal analysis of plates. The results are compared with the three dimensional theory and with the predictions given by traditional two dimensional models.

A Comparison of Two Dimensional Structural Theories for Isotropic Plates

VIOLA, ERASMO;DAGHIA, FEDERICA
2007

Abstract

Abstract In the study of thick plates, an accurate description of shear strains is important in order to correctly predict the plate behavior. In the setting of two dimensional theories, improved accuracy with respect to Kirchhoff–Love and Reissner–Mindlin theories can be obtained by introducing higher order terms in the description of the displacement. In this paper, the third order theory proposed by Reddy (1984) for laminated plates is thoroughly evaluated for the isotropic plates. A corresponding finite element model is developed and implemented in a computer code for modal analysis of plates. The results are compared with the three dimensional theory and with the predictions given by traditional two dimensional models.
2007
Mechanical Vibration: Where Do We Stand?
43
55
E. Viola; F. Daghia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/40772
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