Analysis of ultimate load-bearing behavior of stiffened plate under axial cyclic loading

Table 1. Model size of stiffened plates
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Table 1. Model size of stiffened plates
参　数数值
板强横梁间距a/mm 1 000
相邻纵骨间距b/mm 350
厚度t/mm 9
加强筋（T型材）腹板高度h_w /mm 200
腹板厚度t_w /mm 6.4
面板宽度b_f /mm 140
面板厚度t_f /mm 8.8

Table 2. Boundary conditions of stiffened plates
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Table 2. Boundary conditions of stiffened plates
加筋板单元边界条件
板格长边 Uy = Rx = Rz = 0
板格短边固定端：Ux = Ry = Rz = 0加载端：Ry = Rz = 0
强横梁与板相交处：Uz = 0与加强筋相交处：Uy = 0

Table 3. Numerical calculation results of ultimate strength of stiffened plates with different grid sizes
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Table 3. Numerical calculation results of ultimate strength of stiffened plates with different grid sizes
网格尺寸(长×宽)/mm 极限强度/MPa
50×50 280.98
25×25 277.67
12.5×12.5 276.56

Table 4. Loading mode and material properties

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Table 4. Loading mode and material properties

工况编号	幅值	循环模式	循环次数	材料属性	材料参数
1	$2.5\varepsilon _{\rm{Y}}$	单次压缩	−	理想弹塑性	E$ ＝207\;000\;{\rm{MPa}} $，$ v＝0.3 $，$\sigma _{\rm{Y}}$$ ＝310.5\;{\rm{MPa}} $，$\varepsilon _{\rm{Y} } = 0.001\;5$
2	$1.5\varepsilon _{\rm{Y}} - 2.0\varepsilon _{\rm{Y}} - 2.5\varepsilon _{\rm{Y}}$	循环压缩	3	理想弹塑性
11	$ 2.5\varepsilon _{\rm{Y}} $	单次压缩	−	各向同性强化	E$ ＝207\;000\;{\rm{MPa}} $，$ v＝0.3 $，$\sigma _{\rm{Y}}$$ ＝310.5\;{\rm{MPa}} $，G=$10\;000\;{\rm{MPa}}$，$\varepsilon _{\rm{Y}} = 0.001\;5$
22	$1.5\varepsilon _{\rm{Y}} - 2.0\varepsilon _{\rm{Y}} - 2.5\varepsilon _{\rm{Y}}$	循环压缩	3	各向同性强化
3	$4.0\varepsilon _{\rm{Y}}$	单次压缩	−	理想弹塑性	E$ ＝207\;000\;{\rm{MPa}} $，$ v＝0.3 $，$\sigma _{\rm{Y}}$$ ＝310.5\;{\rm{MPa}} $，$\varepsilon _{\rm{Y} } = 0.001\;5$
4	$2.0\varepsilon _{\rm{Y}} - 3.0\varepsilon _{\rm{Y}} - 4.0\varepsilon _{\rm{Y}}$	循环压缩	3	理想弹塑性
33	$4.0\varepsilon _{\rm{Y}}$	单次压缩	−	各向同性强化	E$ ＝207\;000\;{\rm{MPa}} $，$ v＝0.3 $，$\sigma _{\rm{Y}}$$ ＝310.5\;{\rm{MPa}} $，G=$10\;000\;{\rm{MPa}}$，$\varepsilon _{\rm{Y}} = 0.001\;5$
44	$2.0\varepsilon _{\rm{Y}} - 3.0\varepsilon _{\rm{Y}} - 4.0\varepsilon _{\rm{Y}}$	循环压缩	3	各向同性强化
5	$ \pm 1.5\varepsilon _{\rm{Y}}$	循环压缩−拉伸	3	理想弹塑性	E$ ＝205\;800\;{\rm{MPa}} $，$ v＝0.3 $，$\sigma _{\rm{Y}}$$ ＝285\;{\rm{MPa}} $，$\varepsilon _{\rm{Y}} = 0.001\;38$
6	$ \pm 1.8\varepsilon _{\rm{Y}}$
7	$ \pm 2.0\varepsilon _{\rm{Y}}$
55	$ \pm 1.5\varepsilon _{\rm{Y}}$		3	循环塑性	Chaboche模型，$\varepsilon _{\rm{Y}} = 0.001\;38$
66	$ \pm 1.8\varepsilon _{\rm{Y}}$
77	$ \pm 2.0\varepsilon _{\rm{Y}}$
8	$ \pm 1.8\varepsilon _{\rm{Y}}$	循环压缩−拉伸	10	理想弹塑性	E$ ＝205\;800\;{\rm{MPa}} $，$ v＝0.3 $，$\sigma _{\rm{Y}}$$ ＝285\;{\rm{MPa}} $，$\varepsilon _{\rm{Y}} = 0.001\;38 $
88	$ \pm 1.8\varepsilon _{\rm{Y}}$	循环压缩−拉伸	10	循环塑性	Chaboche模型，$\varepsilon _{\rm{Y} } = 0.001\;38$

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Huwei CUI, Qiyin DING. Analysis of ultimate load-bearing behavior of stiffened plate under axial cyclic loading[J]. Chinese Journal of Ship Research, 2022, 17(4): 204

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