基于高阶剪切变形理论的四边形求积元板单元及其应用1)

申志强, 夏军, 宋殿义, 程盼

A QUADRILATERAL QUADRATURE PLATE ELEMENT BASED ON REDDY'S HIGHER-ORDER SHEAR DEFORMATION THEORY AND ITS APPLICATION1)

Shen Zhiqiang, Xia Jun, Song Dianyi, Cheng Pan

表5 复合材料层合板无量纲挠度与应力

Table 5 The dimensionless deflection and stress of the laminated plate

h/a Method $\bar{w}$ $\bar{\sigma_1}$ $\bar{\sigma_2}$ $\bar{\sigma_3}$ 0.1 1/4 model QEM 7 x 7 0.7156 0.5470 0.3893 0.0268 0.1 1/4 model QEM 9 x 9 0.7147 0.545 6 0.388 8 0.0268 0.1 1/4 model QEM 11 x 11 0.7147 0.545 6 0.388 8 0.0268 0.1 full model QEM 7 x 7 0.7147 0.545 5 0.3888 0.0268 0.1 full model QEM 9 x 9 0.7147 0.545 6 0.3888 0.0268 0.1 full model QEM 11 x 11 0.7147 0.545 6 0.3888 0.0268 0.1 Reddy[32] 0.7147 0.545 6 0.3888 0.0268 0.1 1/4 model Phan[7] 0.7161 0.5427 0.385 5 0.0266 0.1 1/4 model Liu[6] 0.7176 0.541 3 0.3873 0.0266 0.01 1/4 model QEM 7 x 7 0.4343 0.5387 0.2708 0.021 3 0.01 full model QEM 7 x 7 0.4349 0.5401 0.271 1 0.021 5 0.01 full model QEM 9 x 9 0.4343 0.5387 0.2708 0.021 3 0.01 full model QEM 11 x 11 0.4343 0.5387 0.2708 0.021 3 0.01 Reddy[32] 0.4343 0.5387 0.2708 0.021 3 0.01 1/4 model Phan[7] 0.4320 0.5301 0.2664 0.021 1 0.01 1/4 model Liu[6] 0.4408 0.5349 0.2670 0.021 1