Development of dimensionless P-I diagram for curved SCS sandwich shell subjected to uniformly distributed blast pressure
Yonghui WANG, Ximei ZHAI
Development of dimensionless P-I diagram for curved SCS sandwich shell subjected to uniformly distributed blast pressure
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.
blast loading / curved steel-concrete-steel sandwich shell / Pressure-Impulse diagram / single-degree-of-freedom method / finite element analysis
[1] |
Oduyemi T O S, Wright H D. An experimental investigation into the behavior of double skin sandwich beams. Journal of Constructional Steel Research, 1989, 14(3): 197–220
CrossRef
Google scholar
|
[2] |
Malek N, Machida A, Mutsuyoshi H, Makabe T. Steel-concrete sandwich members without shear reinforcement. Transactions of the Japan Concrete Institute, 1993, 15(2): 1279–1284
|
[3] |
Foundoukos N. Behavior and design of steel-concrete-steel sandwich construction. Thesis for the Doctoral Degree. London: University of London, 2005
|
[4] |
Huang Z, Liew J Y R. Structural behaviour of steel-concrete-steel sandwich composite wall subjected to compression and end moment. Thin-walled Structures, 2016, 98: 592–606
CrossRef
Google scholar
|
[5] |
Yan J B, Liew J Y R, Zhang M H. Tensile resistance of J-hook connectors used in Steel-Concrete-Steel sandwich structure. Journal of Constructional Steel Research, 2014, 100: 146–162
CrossRef
Google scholar
|
[6] |
Liew J Y R, Sohel K M A, Koh C G. Impact tests on steel-concrete-steel sandwich beams with lightweight concrete core. Engineering Structures, 2009, 31(9): 2045–2059
CrossRef
Google scholar
|
[7] |
Remennikov A M, Kong S Y. Numerical simulation and validation of impact response of axially-restrained steel-concrete-steel sandwich panels. Composite Structures, 2012, 94(12): 3546–3555
CrossRef
Google scholar
|
[8] |
Anandavalli N, Lakshmanan N, Rajasankar J, Parkash A. Numerical studies on blast loaded steel-concrete composite panels. JCES, 2012, 1(3): 102–108
|
[9] |
Wang Y, Liew J Y R, Lee S C. Theoretical models for axially restrained steel-concrete-steel sandwich panels under blast loading. International Journal of Impact Engineering, 2015, 76: 221–231
CrossRef
Google scholar
|
[10] |
Crawford J E, Lan S. Blast barrier design and testing. In: Proceedings of the ASCE Structures Congress, St. Louis, Missour, 2006
|
[11] |
Liew J Y R, Wang T Y. Novel steel-concrete-steel sandwich composite plates subjected to impact and blast load. Advances in Structural Engineering, 2011, 14(4): 673–687
CrossRef
Google scholar
|
[12] |
Lan S, Lok T S, Heng L. Composite structural panels subjected to explosive loading. Construction & Building Materials, 2005, 19(5): 387–395
CrossRef
Google scholar
|
[13] |
Wang Y, Liew J Y R, Lee S C. Experimental and numerical studies of non-composite Steel-Concrete-Steel sandwich panels under impulsive loading. Materials & Design, 2015, 81: 104–112
CrossRef
Google scholar
|
[14] |
Wang Y, Zhai X, Lee S C, Wang W. Responses of curved steel-concrete-steel sandwich shells subjected to blast loading. Thin-walled Structures, 2016, 108: 185–192
CrossRef
Google scholar
|
[15] |
Yan J B, Liew J Y R, Zhang M H, Sohel K M A. Experimental and analytical study on ultimate strength behavior of steel-concrete-steel sandwich composite beam structures. Materials and Structures, 2015, 48(5): 1523–1544
CrossRef
Google scholar
|
[16] |
Yan J B, Liew J Y R, Zhang M H, Li Z X. Punching shear resistance of steel-concrete-steel sandwich composite shell structure. Engineering Structures, 2016, 117: 470–485
CrossRef
Google scholar
|
[17] |
Yan J B, Xiong M X, Qian X, Liew J Y R. Numerical and parametric study of curved steel-concrete-steel sandwich composite beams under concentrated loading. Materials and Structures, 2016, 49(10): 3981–4001
CrossRef
Google scholar
|
[18] |
Yan J B, Richard Liew J Y, Qian X, Wang J Y. Ultimate strength behavior of curved Steel-Concrete-Steel sandwich composite beams. Journal of Constructional Steel Research, 2015, 115: 316–328
CrossRef
Google scholar
|
[19] |
Huang Z, Liew J Y R. 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
CrossRef
Google scholar
|
[20] |
Huang Z Y, Wang J Y, Richard Liew J Y, William Marshall P. Lightweight steel-concrete-steel sandwich composite shell subject to punching shear. Ocean Engineering, 2015, 102: 146–161
CrossRef
Google scholar
|
[21] |
Biggs J M. Introduction to Structural Dynamics. New York: McGraw-Hill, 1964
|
[22] |
Wang Y, Xiong M X. Analysis of axially restrained water storage tank under blast loading. International Journal of Impact Engineering, 2015, 86: 167–178
CrossRef
Google scholar
|
[23] |
Rigby S E, Tyas A, Bennett T. Elastic-plastic response of plates subjected to cleared blast loads. International Journal of Impact Engineering, 2014, 66: 37–47
CrossRef
Google scholar
|
[24] |
Morison C M. 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
CrossRef
Google scholar
|
[25] |
Nassr A A, Razaqpur A G, Tait M J, Campidelli M, Foo S. Single and multi degree of freedom analysis of steel beams under blast loading. Nuclear Engineering and Design, 2012, 242(1): 63–77
CrossRef
Google scholar
|
[26] |
Carta G, Stochino F. Theoretical models to predict the flexural failure of reinforced concrete beams under blast loads. Engineering Structures, 2013, 49: 306–315
CrossRef
Google scholar
|
[27] |
Krauthammer T, Bazeos N, Holmquist T J. Modified SDOF analysis of box-type structures. Journal of Structural Engineering, 1986, 112(4): 726–744
CrossRef
Google scholar
|
[28] |
Astarlioglu S, Krauthammer T, Morency D, Tran T P. Behavior of reinforced concrete columns under combined effects of axial and blast-induced transverse loads. Engineering Structures, 2013, 55: 26–34
CrossRef
Google scholar
|
[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] |
Mays G, Smith P D. Blast Effects on Buildings: Design of Buildings to Optimize Resistance to Blast Loading. London: T. Telford, 1995
|
[33] |
Li Q M, Meng H. 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
CrossRef
Google scholar
|
[34] |
Li Q M, Meng H. 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
CrossRef
Google scholar
|
[35] |
Fallah A S, Louca L A. 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
CrossRef
Google scholar
|
[36] |
Krauthammer T, Astarlioglu S, Blasko J, Soh T B, Ng P H. Pressure-impulse diagrams for the behaviour assessment of structural components. International Journal of Impact Engineering, 2008, 35(8): 771–783
CrossRef
Google scholar
|
[37] |
Dragos J, Wu C. A new general approach to derive normalised pressure impulse curves. International Journal of Impact Engineering, 2013, 62: 1–12
CrossRef
Google scholar
|
[38] |
Shi Y, Hao H, Li Z X. 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
CrossRef
Google scholar
|
[39] |
Mutalib A A, Hao H. Development of P-I diagrams for FRP strengthened RC columns. International Journal of Impact Engineering, 2011, 38(5): 290–304
CrossRef
Google scholar
|
[40] |
Rabczuk T, Areias P M A, Belytschko T. A meshfree thin shell method for non-linear dynamic fracture. International Journal for Numerical Methods in Engineering, 2007, 72(5): 524–548
CrossRef
Google scholar
|
[41] |
Nguyen-Thanh N, Zhou K, Zhuang X, Areias P, Nguyen-Xuan H, Bazilevs Y, Rabczuk T. 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
CrossRef
Google scholar
|
[42] |
Rabczuk T, Kim J Y, Samaniego E, Belytschko T. Homogenization of sandwich structures. International Journal for Numerical Methods in Engineering, 2004, 61(7): 1009–1027
CrossRef
Google scholar
|
[43] |
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758
CrossRef
Google scholar
|
[44] |
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455
CrossRef
Google scholar
|
[45] |
Rabczuk T, Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799
CrossRef
Google scholar
|
[46] |
Hallquist J O. LS-DYNA Theory Manual. Livermore Software Technology Corporation (LSTC), 2006
|
[47] |
Foundoukos N, Chapman J C. Finite element analysis of steel-concrete-steel sandwich beams. Journal of Constructional Steel Research, 2008, 64(9): 947–961
CrossRef
Google scholar
|
[48] |
Clubley S K, Moy S S J, Xiao R Y. 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
CrossRef
Google scholar
|
[49] |
Li X, Chen J F, Lu Y, Yang Z. Modelling static and dynamic FRP-concrete bond behaviour using a local concrete damage model. Advances in Structural Engineering, 2015, 18(1): 45–58
CrossRef
Google scholar
|
[50] |
Chen W, Hao H, Chen S. Numerical analysis of prestressed reinforced concrete beam subjected to blast loading. Materials & Design, 2015, 65: 662–674
CrossRef
Google scholar
|
[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] |
Cowper G R, Symonds P S. Strain Hardening and Strain Rate Effects in the Impact Loading of Cantilever Beams. Applied Mathematics Report. 1958
|
[54] |
Jones N. Structural Impact. Cambridge/New York: Cambridge University Press, 1988
|
[55] |
Kang W K, Lee S C, Liew J Y R. Analysis of steel-concrete composite column subject to blast. Proceedings of the Institution of Civil Engineers. Structures and Buildings, 2013, 166(1): 15–27
CrossRef
Google scholar
|
[56] |
Xie M, Foundoukos N, Chapman J C. Static tests on steel-concrete-steel sandwich beams. Journal of Constructional Steel Research, 2007, 63(6): 735–750
CrossRef
Google scholar
|
[57] |
Dym C L, Williams H E. Stress and displacement estimates for arches. Journal of Structural Engineering, 2011, 137(1): 49–58
CrossRef
Google scholar
|
[58] |
Baker W E, Cox P A, Westine P S, Kulesz J J, Strehlow R A. 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
|
/
〈 | 〉 |