ZHOU Tao, SONG Yanqi. Shear Effect Analysis on Plates Based on the 4-Variable Refined Plate Theory[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1268-1281. doi: 10.21656/1000-0887.390066
Citation: ZHOU Tao, SONG Yanqi. Shear Effect Analysis on Plates Based on the 4-Variable Refined Plate Theory[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1268-1281. doi: 10.21656/1000-0887.390066

Shear Effect Analysis on Plates Based on the 4-Variable Refined Plate Theory

doi: 10.21656/1000-0887.390066
Funds:  The National Natural Science Foundation of China(Key Program)(41430640)
  • Received Date: 2018-03-01
  • Rev Recd Date: 2018-04-13
  • Publish Date: 2018-11-01
  • For moderately thick plates or composite plates, due to the low ratio of the transverse shear modulus to the in-plane extension modulus, the shear effects signify much to the mechanical behavior of structures. Based on the 2-variable refined plate theory (RPT), the discussion about the shear effects on the bending of plates was carried out. The RPT was introduced briefly at first, then numerical examples of simply supported rectangular plates subjected to uniformly distributed load were given, with a focus on the geometry and property effects on the shear effects. The shear effects increase with the plate thickness, especially dramatically when the width-thickness ratio is less than 10; the shear effects increase with the ratio of the transverse shear modulus to the in-plane extension modulus; under the same condition, the proportion of the “shear” deflection in the orthotropic plate is always larger than that in the isotropic plate, and the difference of shear effects between these 2 kinds of plates becomes more significant with the increase of the thickness or the aspect ratio; the shear effects in the isotropic plates are more sensitive to the aspect ratios, and the proportion of the “shear” deflection in the isotropic plate decreases with the aspect ratio, but decreases first and increases later in the orthotropic plate.
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