Development of dimensionless P-I diagram for curved SCS sandwich shell subjected to uniformly distributed blast pressure

doi:10.1007/s11709-019-0566-y

Front. Struct. Civ. Eng.

2019, Vol. 13

Issue (6) : 1432-1445 https://doi.org/10.1007/s11709-019-0566-y

RESEARCH ARTICLE

Development of dimensionless P-I diagram for curved SCS sandwich shell subjected to uniformly distributed blast pressure

Yonghui WANG^1,²(

), Ximei ZHAI^1,²

¹. Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China
². Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters of the Ministry of Industry and Information Technology, Harbin Institute of Technology, Harbin 150090, China

Download: PDF(1212 KB) HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract

The curved steel-concrete-steel (SCS) sandwich shell was recently proposed to resist blast loading and it showed better blast resistant performance as compared to flat SCS sandwich shell via developing compressive force along the shell. In this paper, a dimensionless Pressure-Impulse (P-I) diagram was constructed as a convenient tool to predict the damage level of curved SCS sandwich shell subjected to uniformly distributed blast loading. The curved SCS sandwich shell was equivalent to a single-degree-of-freedom (SDOF) system and the equation of motion was established by employing the Lagrange’s equation. To construct the dimensionless P-I diagram, the energy balance method was utilized to yield the pressure and impulse asymptotes and the responses in the dynamic response regime were obtained via employing the SDOF method. Then, the finite element method was employed to validate the developed dimensionless P-I diagram. Finally, the procedures of using the constructed dimensionless P-I diagram to quickly conduct the blast resistant design of curved SCS sandwich shell were presented.

Keywords blast loading curved steel-concrete-steel sandwich shell Pressure-Impulse diagram single-degree-of-freedom method finite element analysis

Corresponding Author(s): Yonghui WANG

Just Accepted Date: 26 July 2019 Online First Date: 23 September 2019 Issue Date: 21 November 2019

Cite this article:

Yonghui WANG,Ximei ZHAI. Development of dimensionless P-I diagram for curved SCS sandwich shell subjected to uniformly distributed blast pressure[J]. Front. Struct. Civ. Eng., 2019, 13(6): 1432-1445.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-019-0566-y
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I6/1432

Fig.1 Curved SCS sandwich shell as blast resistant wall.

Fig.2 Quarter FE model of curved SCS sandwich shell.

Fig.3 Simplified FE model of shear connectors.

Tab.1 Geometry of curved SCS sandwich shell (unit: mm)

Tab.2 Material properties of concrete in FE analysis

Fig.4 True stress–effective plastic strain curve for mild steel.

Fig.5 Comparison of FE predictions with test results.

Fig.6 Comparison of failure modes: (a) test observation and (b) FE prediction.

Fig.7 Details of SCS sandwich beam (unit: mm).

Fig.8 Load-displacement response of SCS sandwich beam.

Tab.3 Material properties of steel and concrete in Ref. [⁵⁰]

Fig.9 Simplification of curved shell to an arch.

Fig.10 Geometry of arch.

Fig.11 Deflection shape with varying angle a.

Fig.12 Effect of a and h/R on the strain error.

Fig.13 Relationship between (h/R)_max and angle a.

Fig.14 Geometry of curved SCS sandwich shell.

Fig.15 Typical P-I diagram.

Fig.16 Dimensionless P-I diagram from analytical model.

Fig.17 Modified dimensionless P-I diagram with FE analyses.

Fig.18 Comparison of stress–strain curves from FE analyses and EC2.

Fig.19 Flow chart for determining the geometry of curved SCS sandwich shell.

1	T O S Oduyemi, H D Wright. An experimental investigation into the behavior of double skin sandwich beams. Journal of Constructional Steel Research, 1989, 14(3): 197–220 https://doi.org/10.1016/0143-974X(89)90073-4
2	N Malek, A Machida, H Mutsuyoshi, T Makabe. Steel-concrete sandwich members without shear reinforcement. Transactions of the Japan Concrete Institute, 1993, 15(2): 1279–1284
3	N Foundoukos. Behavior and design of steel-concrete-steel sandwich construction. Thesis for the Doctoral Degree. London: University of London, 2005
4	Z Huang, J Y R Liew. Structural behaviour of steel-concrete-steel sandwich composite wall subjected to compression and end moment. Thin-walled Structures, 2016, 98: 592–606 https://doi.org/10.1016/j.tws.2015.10.013
5	J B Yan, J Y R Liew, M H Zhang. Tensile resistance of J-hook connectors used in Steel-Concrete-Steel sandwich structure. Journal of Constructional Steel Research, 2014, 100: 146–162 https://doi.org/10.1016/j.jcsr.2014.04.023
6	J Y R Liew, K M A Sohel, C G Koh. Impact tests on steel-concrete-steel sandwich beams with lightweight concrete core. Engineering Structures, 2009, 31(9): 2045–2059 https://doi.org/10.1016/j.engstruct.2009.03.007
7	A M Remennikov, S Y Kong. Numerical simulation and validation of impact response of axially-restrained steel-concrete-steel sandwich panels. Composite Structures, 2012, 94(12): 3546–3555 https://doi.org/10.1016/j.compstruct.2012.05.011
8	N Anandavalli, N Lakshmanan, J Rajasankar, A Parkash. Numerical studies on blast loaded steel-concrete composite panels. JCES, 2012, 1(3): 102–108
9	Y Wang, J Y R Liew, S C Lee. Theoretical models for axially restrained steel-concrete-steel sandwich panels under blast loading. International Journal of Impact Engineering, 2015, 76: 221–231 https://doi.org/10.1016/j.ijimpeng.2014.10.005
10	J E Crawford, S Lan. Blast barrier design and testing. In: Proceedings of the ASCE Structures Congress, St. Louis, Missour, 2006
11	J Y R Liew, T Y Wang. Novel steel-concrete-steel sandwich composite plates subjected to impact and blast load. Advances in Structural Engineering, 2011, 14(4): 673–687 https://doi.org/10.1260/1369-4332.14.4.673
12	S Lan, T S Lok, L Heng. Composite structural panels subjected to explosive loading. Construction & Building Materials, 2005, 19(5): 387–395 https://doi.org/10.1016/j.conbuildmat.2004.07.021
13	Y Wang, J Y R Liew, S C Lee. Experimental and numerical studies of non-composite Steel-Concrete-Steel sandwich panels under impulsive loading. Materials & Design, 2015, 81: 104–112 https://doi.org/10.1016/j.matdes.2015.05.033
14	Y Wang, X Zhai, S C Lee, W Wang. Responses of curved steel-concrete-steel sandwich shells subjected to blast loading. Thin-walled Structures, 2016, 108: 185–192 https://doi.org/10.1016/j.tws.2016.08.018
15	J B Yan, J Y R Liew, M H Zhang, K M A Sohel. Experimental and analytical study on ultimate strength behavior of steel-concrete-steel sandwich composite beam structures. Materials and Structures, 2015, 48(5): 1523–1544 https://doi.org/10.1617/s11527-014-0252-4
16	J B Yan, J Y R Liew, M H Zhang, Z X Li. Punching shear resistance of steel-concrete-steel sandwich composite shell structure. Engineering Structures, 2016, 117: 470–485 https://doi.org/10.1016/j.engstruct.2016.03.029
17	J B Yan, M X Xiong, X Qian, J Y R Liew. Numerical and parametric study of curved steel-concrete-steel sandwich composite beams under concentrated loading. Materials and Structures, 2016, 49(10): 3981–4001 https://doi.org/10.1617/s11527-015-0768-2
18	J B Yan, J Y Richard Liew, X Qian, J Y Wang. Ultimate strength behavior of curved Steel-Concrete-Steel sandwich composite beams. Journal of Constructional Steel Research, 2015, 115: 316–328 https://doi.org/10.1016/j.jcsr.2015.08.043
19	Z Huang, J Y R Liew. Nonlinear finite element modeling and parametric study of curved steel-concrete-steel double skin composite panels infilled with ultra-lightweight cement composite. Construction & Building Materials, 2015, 95: 922–938 https://doi.org/10.1016/j.conbuildmat.2015.07.134
20	Z Y Huang, J Y Wang, J Y Richard Liew, P William Marshall. Lightweight steel-concrete-steel sandwich composite shell subject to punching shear. Ocean Engineering, 2015, 102: 146–161 https://doi.org/10.1016/j.oceaneng.2015.04.054
21	J M Biggs. Introduction to Structural Dynamics. New York: McGraw-Hill, 1964
22	Y Wang, M X Xiong. Analysis of axially restrained water storage tank under blast loading. International Journal of Impact Engineering, 2015, 86: 167–178 https://doi.org/10.1016/j.ijimpeng.2015.07.012
23	S E Rigby, A Tyas, T Bennett. Elastic-plastic response of plates subjected to cleared blast loads. International Journal of Impact Engineering, 2014, 66: 37–47 https://doi.org/10.1016/j.ijimpeng.2013.12.006
24	C M Morison. Dynamic response of walls and slabs by single-degree-of-freedom analysis-a critical review and revision. International Journal of Impact Engineering, 2006, 32(8): 1214–1247 https://doi.org/10.1016/j.ijimpeng.2004.11.008
25	A A Nassr, A G Razaqpur, M J Tait, M Campidelli, S Foo. Single and multi degree of freedom analysis of steel beams under blast loading. Nuclear Engineering and Design, 2012, 242(1): 63–77 https://doi.org/10.1016/j.nucengdes.2011.10.020
26	G Carta, F Stochino. Theoretical models to predict the flexural failure of reinforced concrete beams under blast loads. Engineering Structures, 2013, 49: 306–315 https://doi.org/10.1016/j.engstruct.2012.11.008
27	T Krauthammer, N Bazeos, T J Holmquist. Modified SDOF analysis of box-type structures. Journal of Structural Engineering, 1986, 112(4): 726–744 https://doi.org/10.1061/(ASCE)0733-9445(1986)112:4(726)
28	S Astarlioglu, T Krauthammer, D Morency, T P Tran. Behavior of reinforced concrete columns under combined effects of axial and blast-induced transverse loads. Engineering Structures, 2013, 55: 26–34 https://doi.org/10.1016/j.engstruct.2012.12.040
29	UFC 3-340-02. Structures to Resist the Effects of Accidental Explosions. Washington, D.C.: US Department of Army, Navy and the Air Force, 2008
30	ASCE. Design of Blast-Resistant Buildings in Petrochemical Facilities. American Society of Civil Engineers, 2010
31	ASCE. Blast Protection of Buildings. ASCE/SEI 59-11. American Society of Civil Engineers, 2011
32	G Mays, P D Smith. Blast Effects on Buildings: Design of Buildings to Optimize Resistance to Blast Loading. London: T. Telford, 1995
33	Q M Li, H Meng. Pressure-impulse diagram for blast loads based on dimensional analysis and single-degree-of-freedom mode. Journal of Engineering Mechanics, 2002, 128(1): 87–92 https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(87)
34	Q M Li, H Meng. Pulse loading shape effects on pressure-impulse diagram of an elastic-plastic, single-degree-of-freedom structural model. International Journal of Mechanical Sciences, 2002, 44(9): 1985–1998 https://doi.org/10.1016/S0020-7403(02)00046-2
35	A S Fallah, L A Louca. Pressure-impulse diagrams for elastic-plastic-hardening and softening single-degree-of-freedom models subjected to blast loading. International Journal of Impact Engineering, 2007, 34(4): 823–842 https://doi.org/10.1016/j.ijimpeng.2006.01.007
36	T Krauthammer, S Astarlioglu, J Blasko, T B Soh, P H Ng. Pressure-impulse diagrams for the behaviour assessment of structural components. International Journal of Impact Engineering, 2008, 35(8): 771–783 https://doi.org/10.1016/j.ijimpeng.2007.12.004
37	J Dragos, C Wu. A new general approach to derive normalised pressure impulse curves. International Journal of Impact Engineering, 2013, 62: 1–12 https://doi.org/10.1016/j.ijimpeng.2013.05.005
38	Y Shi, H Hao, Z X Li. Numerical derivation of pressure-impulse diagrams for prediction of RC column damage to blast loads. International Journal of Impact Engineering, 2008, 35(11): 1213–1227 https://doi.org/10.1016/j.ijimpeng.2007.09.001
39	A A Mutalib, H Hao. Development of P-I diagrams for FRP strengthened RC columns. International Journal of Impact Engineering, 2011, 38(5): 290–304 https://doi.org/10.1016/j.ijimpeng.2010.10.029
40	T Rabczuk, P M A Areias, T Belytschko. A meshfree thin shell method for non-linear dynamic fracture. International Journal for Numerical Methods in Engineering, 2007, 72(5): 524–548 https://doi.org/10.1002/nme.2013
41	N Nguyen-Thanh, K Zhou, X Zhuang, P Areias, H Nguyen-Xuan, Y Bazilevs, T Rabczuk. Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling. Computer Methods in Applied Mechanics and Engineering, 2017, 316: 1157–1178 https://doi.org/10.1016/j.cma.2016.12.002
42	T Rabczuk, J Y Kim, E Samaniego, T Belytschko. Homogenization of sandwich structures. International Journal for Numerical Methods in Engineering, 2004, 61(7): 1009–1027 https://doi.org/10.1002/nme.1100
43	T Rabczuk, G Zi, S Bordas, H Nguyen-Xuan. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758 https://doi.org/10.1016/j.engfracmech.2008.06.019
44	T Rabczuk, G Zi, S Bordas, H Nguyen-Xuan. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455 https://doi.org/10.1016/j.cma.2010.03.031
45	T Rabczuk, T Belytschko. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799 https://doi.org/10.1016/j.cma.2006.06.020
46	J O Hallquist. LS-DYNA Theory Manual. Livermore Software Technology Corporation (LSTC), 2006
47	N Foundoukos, J C Chapman. Finite element analysis of steel-concrete-steel sandwich beams. Journal of Constructional Steel Research, 2008, 64(9): 947–961 https://doi.org/10.1016/j.jcsr.2007.10.011
48	S K Clubley, S S J Moy, R Y Xiao. Shear strength of steel-concrete-steel composite panels. Part II—Detailed numerical modelling of performance. Journal of Constructional Steel Research, 2003, 59(6): 795–808 https://doi.org/10.1016/S0143-974X(02)00062-7
49	X Li, J F Chen, Y Lu, Z Yang. Modelling static and dynamic FRP-concrete bond behaviour using a local concrete damage model. Advances in Structural Engineering, 2015, 18(1): 45–58 https://doi.org/10.1260/1369-4332.18.1.45
50	W Chen, H Hao, S Chen. Numerical analysis of prestressed reinforced concrete beam subjected to blast loading. Materials & Design, 2015, 65: 662–674 https://doi.org/10.1016/j.matdes.2014.09.033
51	Federal Highway Administration. Users Manual for LS-DYNA Concrete Material Model 159. Publication No. FHWA-HRT-05-062, 2007
52	Federal Highway Administration. Evaluation of LS-DYNA Concrete Material Model 159. Publication No. FHWA-HRT-05-063, 2007
53	G R Cowper, P S Symonds. Strain Hardening and Strain Rate Effects in the Impact Loading of Cantilever Beams. Applied Mathematics Report. 1958
54	N Jones. Structural Impact. Cambridge/New York: Cambridge University Press, 1988
55	W K Kang, S C Lee, J Y R Liew. Analysis of steel-concrete composite column subject to blast. Proceedings of the Institution of Civil Engineers. Structures and Buildings, 2013, 166(1): 15–27 https://doi.org/10.1680/stbu.9.00092
56	M Xie, N Foundoukos, J C Chapman. Static tests on steel-concrete-steel sandwich beams. Journal of Constructional Steel Research, 2007, 63(6): 735–750 https://doi.org/10.1016/j.jcsr.2006.08.001
57	C L Dym, H E Williams. Stress and displacement estimates for arches. Journal of Structural Engineering, 2011, 137(1): 49–58 https://doi.org/10.1061/(ASCE)ST.1943-541X.0000267
58	W E Baker, P A Cox, P S Westine, J J Kulesz, R A Strehlow. Explosion and Hazards and Evaluation. Amsterdam: Elsevier Scientific Publishing Compay, 1983
59	Eurocode 2. Design of concrete structures—part 1-1: General rules and Rules for Buildings. EN 1992-1-1. London: British Standards Institution, 2004

[1]	Yi RUI, Mei YIN. Finite element modeling of thermo-active diaphragm walls[J]. Front. Struct. Civ. Eng., 2020, 14(3): 646-663.
[2]	Jordan CARTER, Aikaterini S. GENIKOMSOU. Investigation on modeling parameters of concrete beams reinforced with basalt FRP bars[J]. Front. Struct. Civ. Eng., 2019, 13(6): 1520-1530.
[3]	Alireza FARZAMPOUR, Matthew Roy EATHERTON. Parametric computational study on butterfly-shaped hysteretic dampers[J]. Front. Struct. Civ. Eng., 2019, 13(5): 1214-1226.
[4]	Hassan ABEDI SARVESTANI. Parametric study of hexagonal castellated beams in post-tensioned self-centering steel connections[J]. Front. Struct. Civ. Eng., 2019, 13(5): 1020-1035.
[5]	Farhoud KALATEH. Dynamic failure analysis of concrete dams under air blast using coupled Euler-Lagrange finite element method[J]. Front. Struct. Civ. Eng., 2019, 13(1): 15-37.
[6]	Il-Sang AHN, Lijuan CHENG. Seismic analysis of semi-gravity RC cantilever retaining wall with TDA backfill[J]. Front. Struct. Civ. Eng., 2017, 11(4): 455-469.
[7]	Witarto WITARTO,Liang LU,Rachel Howser ROBERTS,Y. L. MO,Xilin LU. Shear-critical reinforced concrete columns under various loading rates[J]. Front. Struct. Civ. Eng., 2014, 8(4): 362-372.
[8]	Haitham DAWOOD,Mohamed ELGAWADY,Joshua HEWES. Factors affecting the seismic behavior of segmental precast bridge columns[J]. Front. Struct. Civ. Eng., 2014, 8(4): 388-398.
[9]	Yiyi CHEN,Wei SUN,Tak-Ming CHAN. Cyclic stress-strain behavior of structural steel with yield-strength up to 460 N/mm²[J]. Front. Struct. Civ. Eng., 2014, 8(2): 178-186.
[10]	Sunghwan KIM,Halil CEYLAN,Kasthurirangan GOPALAKRISHNAN. Finite element modeling of environmental effects on rigid pavement deformation[J]. Front. Struct. Civ. Eng., 2014, 8(2): 101-114.
[11]	Yuepeng DONG, Harvey BURD, Guy HOULSBY, Yongmao HOU. Advanced finite element analysis of a complex deep excavation case history in Shanghai[J]. Front Struc Civil Eng, 2014, 8(1): 93-100.
[12]	Guochang LI, Hongping YU, Chen FANG. Performance study on T-stub connected semi-rigid joint between rectangular tubular columns and H-shaped steel beams[J]. Front Struc Civil Eng, 2013, 7(3): 296-303.
[13]	Chin-Yee ONG, Jin-Chun CHAI. Lateral displacement of soft ground under vacuum pressure and surcharge load[J]. Front Arch Civil Eng Chin, 2011, 5(2): 239-248.
[14]	DONG Zhen, ZHANG Qilin. Study on shear resistance of aluminum alloy I-section members[J]. Front. Struct. Civ. Eng., 2008, 2(1): 79-86.
[15]	TONG Lewei, GU Min, CHEN Yiyi, ZHOU Liying, SUN Jiandong, CHEN Yangji, LIN Yingru, LIN Gao. Strength of tubular welded joints of roof trusses in Shanghai Qizhong Tennis Center[J]. Front. Struct. Civ. Eng., 2008, 2(1): 30-36.

Viewed

Full text

Abstract

Cited

Shared

Discussed