Damage area of structural plane under water-rock interaction and repeated shear sequence

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Flow chart for calculating horizontal capacity factor

2020, 42(4): 773-781.

Simplified model for upper bound method to analyze horizontal bearing capacity of torpedo anchors .

Figures of the Article

Tables of the Article

锚型	符号	锚长	锚直径	锚尖长	锚翼厚	锚翼宽	锚翼长				长径比	面积
锚型	符号	L/m	D/m	L_t/m	t/m	W_f/m	L_f/m	L_f1/m	L_f2/m	L_f3/m	L_f/D_w	A_f/m²
W型-鱼雷锚	W-0	12	0.96	1.82	0.1	1.91	5.92	0.48	3.84	1.6	1.24	74.57
	W-1	12	0.96	1.82	0.1	1.44	5.92	0.48	3.84	1.6	1.54	56.22
	W-2	12	0.96	1.82	0.1	0.83	5.92	0.48	3.84	1.6	2.26	32.40
	W-3	12	0.96	1.82	0.1	0.45	5.92	0.48	3.84	1.6	3.18	17.57
	W-4	12	0.96	1.82	0.1	0.39	5.92	0.48	3.84	1.6	3.40	15.23
N型-鱼雷锚	N-0	12	0.96	1.82	0.1	0.90	9.39	0.48	7.31	1.6	3.40	60.12
	N-1	12	0.96	1.82	0.1	0.90	8.85	0.48	6.77	1.6	3.21	56.23
	N-2	12	0.96	1.82	0.1	0.90	6.15	0.48	4.97	1.6	2.23	36.79
	N-3	12	0.96	1.82	0.1	0.90	4.35	0.48	4.07	1.6	1.58	23.83
	N-4	12	0.96	1.82	0.1	0.90	3.45	0.48	3.17	1.6	1.25	17.35
验证锚型	T-0	12	0.96	1.82	0.1	1.16	5.92	0.48	3.84	1.6	1.81	45.29
	T-1	12	0.96	1.82	0.1	0.65	5.92	0.48	3.84	1.6	2.63	25.38
	T-2	12	0.96	1.82	0.1	0.90	7.05	0.48	0.68	1.6	2.55	43.27
	T-3	12	0.96	1.82	0.1	0.90	5.25	0.48	2.27	1.6	1.90	30.31
	注：面积（A_f）是锚翼侧面积之和。

Sizes of torpedo anchor

锚型	s_u=10 kPa			s_u=1z kPa
锚型	数值解/kN	解析解/kN	差值/%	数值解/kN	解析解/kN	差值/%
W-0	2032.70	2054.42	-1.07	1806.92	1847.86	2.27
W-1	1766.03	1755.14	-0.62	1556.13	1563.07	0.45
W-2	1311.34	1309.16	-0.17	1154.11	1172.85	1.62
W-3	1000.55	975.32	-2.52	882.76	900.09	1.96
W-4	958.70	917.55	-4.29	843.42	847.72	0.51
N-0	1420.92	1416.60	-0.30	1283.30	1265.55	-1.38
N-1	1410.73	1404.80	-0.42	1278.23	1269.89	-0.65
N-2	1395.33	1377.29	-1.29	1232.93	1235.57	0.21
N-3	1285.38	1215.69	-5.42	1069.06	1068.05	-0.09
N-4	1153.28	1087.87	-5.67	940.64	950.43	1.04

Comparison of horizontal capacity between FEM results and analytical solutions

土体强度	s_u=10 kPa			s_u=50 kPa			s_u=1z kPa			s_u=5z kPa
名称单位	数值解/kN	解析解/kN	差值/%	数值解/kN	解析解/kN	差值/%	数值解/kN	解析解/kN	差值/%	数值解/kN	解析解/kN	差值/%
T-1	1563.49	1575.16	0.75	7817.46	7769.07	-0.62	1381.69	1387.07	0.39	6178.64	6142.38	-0.59
T-2	1168.06	1178.48	0.89	5840.32	5800.86	-0.68	1025.47	1052.09	2.59	4673.03	4652.62	-0.44
T-3	1401.44	1414.52	0.93	7007.22	6973.86	-0.48	1270.51	1277.19	0.52	5576.40	5651.63	1.35
T-4	1350.36	1327.22	-1.71	6751.79	6541.69	-3.11	1150.69	1164.11	1.17	5303.29	5152.94	-2.83

Comparison of horizontal capacity between FEM results and analytical solutions of simplified models of torpedo anchors

名称单位	锚直径/m	锚翼宽/m	锚翼长/m	$L_{f} / D_{w}$	旋转中心/m	数值解/MN	解析解/MN	差值/%
s_u=3z kPa	1.1	0.15	11.1	7.93	12.76	6.7	6.86	2.39
	1.1	0.45	11.1	5.55	11.96	8.91	8.95	0.45
	1.1	0.9	11.1	3.83	10.61	11.72	11.84	1.02
s_u=1.5z kPa	1.1	0.9	11.1	3.83	10.61	5.9	5.94	0.68
s_u=6z kPa	1.1	0.9	11.1	3.83	10.61	20.98	19.88	5.24

Comparison between de’sousa FEM results and analytical solutions of simplified model

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