双钢板混凝土单元平面内屈服准则

doi:10.16183/j.cnki.jsjtu.2020.347

摘要/Abstract

摘要：

针对承受平面内薄膜内力的双钢板混凝土(Steel-Concrete-Steel, SCS)单元,基于固体力学的3个基本方程(平衡条件、变形协调条件以及本构方程),提出了满足钢板Tresca屈服准则的SCS单元平面(主)应力空间的屈服准则.提出了一种结合试验数据确定SCS单元屈服荷载的计算方法,并将该方法应用于SCS单元双向拉压试验,分析9个不同配钢率和不同拉压比的SCS单元试件,将SCS单元的屈服准则与试验结果进行对比.此外,采用Ozaki的7个剪切单元试件进行进一步验证.结果表明,SCS单元的屈服准则与试验结果具有较好的一致性.

关键词: 双钢板混凝土结构, 平面应力状态, 力学分析, 屈服准则

Abstract:

A yield criterion for the steel-concrete-steel (SCS) unit panel subjected to in-plane membrane forces is proposed, which is expressed in the in-plane (principal) stress space and follows the Tresca yielding principle for steel plates. This yield criterion for the SCS unit panel is based on the Navier’s three principles (equilibrium conditions, strain compatibility, and the constitutive laws of materials). A calculation method for determining the yield load of the SCS unit in combination with the test data is proposed, and the method is applied to the bidirectional tensile and compression test of the SCS unit. By using this method, nine SCS tested panels with different steel ratios and different tension compression ratios are analyzed, and the yield criterion of the SCS unit is compared with the test results. In addition, seven SCS shear specimens tested by Ozaki are used for further verification. The results derived from the yield criterion of the SCS panel elements are found in good agreement with the test results.

Key words: steel-concrete-steel structure, in-plane stress state, mechanical analysis, yield criterion

中图分类号:

TU398

黄城均, 朱天怡, 宋晓冰. 双钢板混凝土单元平面内屈服准则[J]. 上海交通大学学报, 2022, 56(4): 422-430.

HUANG Chengjun, ZHU Tianyi, SONG Xiaobing. In-Plane Yield Criterion of Steel-Concrete-Steel Unit Panel[J]. Journal of Shanghai Jiao Tong University, 2022, 56(4): 422-430.

图/表 10

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图7

表1

图8

表2

SCS屈服准则与剪切试验的屈服荷载

试件编号	钢板		混凝土 f_c(E_c)/MPa	试验结果		SCS单元屈服准则
试件编号	A_s(A_p)/cm²	f_y( $E s)$ /MPa	混凝土 f_c(E_c)/MPa	轴力/kN	剪力/kN	剪力/kN	相对误差/%
S2-00NN	53.5(17.1)	340(1.97×10⁵)	42.2(2.72×10⁴)	0	2290	2381	3.99
S2-15NN	53.5(17.1)	340(1.97×10⁵)	41.6(2.77×10⁴)	353	2330	2564	10.04
S2-30NN	53.5(17.1)	340(1.97×10⁵)	42.0(2.79×10⁴)	705	2490	2693	8.14
S3-00NN	75.4(16.9)	351(1.99×10⁵)	41.9(2.71×10⁴)	0	3070	3176	3.44
S3-15NN	75.4(16.9)	351(1.99×10⁵)	41.6(2.67×10⁴)	353	3130	3238	3.43
S3-30NN	75.4(16.9)	351(1.99×10⁵)	40.1(2.70×10⁴)	705	3170	3307	4.33
S4-00NN	104.9(16.7)	346(2.07×10⁵)	42.8(2.76×10⁴)	0	3560	3805	6.89
平均值							5.75

表2

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试件编号	试验结果		SCS单元屈服准则		相对误差/%
试件编号	拉力/ kN	压力/ kN	拉力/ kN	压力/ kN	相对误差/%
S3-51	840	-4370	789	-4106	-6.05
S3-10	0	-6624	0	-6977	5.32
S5-11	1902	-1902	2081	-2081	9.33
S5-41	1184	-4386	1188	-4400	0.31
S6-01	2640	0	2640	0	0.00
S6-21	1815	-3213	1845	-3264	1.61
S6-41	1283	-4472	1296	-4517	1.00
S6-81	756	-6039	728	-5812	3.75
S6-10	0	-7300	0	-7473	2.36
平均值					3.30