Research Papers

On the Role of Fluid–Structure Interaction on Structural Loading by Pressure Waves in Air

[+] Author and Article Information
Hannes L. Gauch

Department of Aeronautics,
Imperial College London,
London SW7 2AZ, UK

Francesco Montomoli

Department of Aeronautics,
Imperial College London,
London SW7 2AZ, UK

Vito L. Tagarielli

Department of Aeronautics,
Imperial College London,
London SW7 2AZ, UK
e-mail: v.tagarielli@imperial.ac.uk

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 19, 2018; final manuscript received July 18, 2018; published online August 6, 2018. Assoc. Editor: N. R. Aluru.

J. Appl. Mech 85(11), 111007 (Aug 06, 2018) (11 pages) Paper No: JAM-18-1105; doi: 10.1115/1.4040948 History: Received February 19, 2018; Revised July 18, 2018

This study investigates the significance of fluid–structure interaction (FSI) effects on structural response to pressure wave and shock wave loading. Finite element (FE) simulations and one-dimensional (1D) analytical models are used to compare the responses of simple structures in presence and absence of FSI. Results are provided in nondimensional form and allow rapid estimation of the significance of FSI. The cases of a square elastic plate in bending and a square rigid-perfectly plastic plate undergoing membrane stretching are discussed in detail. We deduce simple formulae to identify scenarios in which effects of FSI can be neglected.

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Taylor, G. I. , 1963, “The Pressure and Impulse of Submarine Explosion Waves on Plates,” The Scientific Papers of G. I. Taylor, Vol. 3, Cambridge University Press, Cambridge, UK, pp. 287–303.
Schiffer, A. , and Tagarielli, V. L. , 2015, “The Response of Circular Composite Plates to Underwater Blast: Experiments and Modelling,” J. Fluids Struct., 52, pp. 130–144. [CrossRef]
Schiffer, A. , Tagarielli, V. L. , Petrinic, N. , and Cocks, A. C. F. , 2012, “The Response of Rigid Plates to Deep Water Blast: Analytical Models and Finite Element Predictions,” ASME J. Appl. Mech., 79(6), p. 061014. [CrossRef]
Hutchinson, J. W. , and Xue, Z. , 2005, “Metal Sandwich Plates Optimized for Pressure Impulses,” Int. J. Mech. Sci., 47(4–5), pp. 545–569. [CrossRef]
Deshpande, V. S. , and Fleck, N. A. , 2005, “One-Dimensional Response of Sandwich Plates to Underwater Shock Loading,” J. Mech. Phys. Solids, 53(11), pp. 2347–2383. [CrossRef]
Fleck, N. A. , and Deshpande, V. S. , 2004, “The Resistance of Clamped Sandwich Beams to Shock Loading,” ASME J. Appl. Mech., 71(3), pp. 386–401. [CrossRef]
Xue, Z. , and Hutchinson, J. W. , 2003, “Preliminary Assessment of Sandwich Plates Subject to Blast Loads,” Int. J. Mech. Sci., 45(4), pp. 687–705. [CrossRef]
Kambouchev, N. , Noels, L. , and Radovitzky, R. , 2006, “Nonlinear Compressibility Effects in Fluid-Structure Interaction and Their Implications on the Air-Blast Loading of Structures,” J. Appl. Phys., 100(6), p. 063519. [CrossRef]
Main, J. A. , and Gazonas, G. A. , 2008, “Uniaxial Crushing of Sandwich Plates Under Air Blast: Influence of Mass Distribution,” Int. J. Solids Struct., 45(7–8), pp. 2297–2321. [CrossRef]
Dharmasena, K. P. , Wadley, H. N. G. , Williams, K. , Xue, Z. , and Hutchinson, J. W. , 2011, “Response of Metallic Pyramidal Lattice Core Sandwich Panels to High Intensity Impulsive Loading in Air,” Int. J. Impact Eng., 38(5), pp. 275–289. [CrossRef]
Vaziri, A. , and Hutchinson, J. W. , 2007, “Metal Sandwich Plates Subject to Intense Air Shocks,” Int. J. Solids Struct., 44(6), pp. 2021–2035. [CrossRef]
Subramaniam, K. V. , Nian, W. , and Andreopoulos, Y. , 2009, “Blast Response Simulation of an Elastic Structure: Evaluation of the Fluid-Structure Interaction Effect,” Int. J. Impact Eng., 36(7), pp. 965–974. [CrossRef]
Teich, M. , and Gebbeken, N. , 2012, “Structures Subjected to Low-Level Blast Loads: Analysis of Aerodynamic Damping and Fluid-Structure Interaction,” J. Struct. Eng., 138(5), pp. 625–635. [CrossRef]
Hindmarsh, A. C. , Brown, P. N. , Grant, K. E. , Lee, S. L. , Serban, R. , Shumaker, D. E. , and Woodward, C. S. , 2005, “SUNDIALS: Suite of Nonlinear and Differential/Algebraic Equation Solvers,” ACM Trans. Math. Software, 31(3), pp. 363–396. [CrossRef]
Andersson, C. , Führer, C. , and Åkesson, J. , 2015, “Assimulo: A Unified Framework for ODE Solvers,” Math. Comput. Simul., 116, pp. 26–43. [CrossRef]
Liepmann, H. W. , 1957, Elements of Gas Dynamics, Wiley, New York/Chapman & Hall, London, UK.
ABAQUS, 2014, Analysis User's Manual 6.14, Dassault Systèmes Simulia, Providence, RI. [PubMed] [PubMed]
Roache, P. J. , 1994, “Perspective: A Method for Uniform Reporting of Grid Refinement Studies,” ASME J. Fluids Eng., 116(3), pp. 405–413. [CrossRef]
Biggs, J. M. , 1964, Introduction to Structural Dynamics, McGraw-Hill, New York.
Rigby, S. E. , Tyas, A. , Bennett, T. , Fay, S. D. , Clarke, S. D. , and Warren, J. A. , 2014, “A Numerical Investigation of Blast Loading and Clearing on Small Targets,” Int. J. Prot. Struct., 5(3), pp. 253–274. [CrossRef]
Tyas, A. , Warren, J. A. , Bennett, T. , and Fay, S. , 2011, “Prediction of Clearing Effects in Far-Field Blast Loading of Finite Targets,” Shock Waves, 21(2), pp. 111–119. [CrossRef]
Hudson, C. C. , 1955, “Sound Pulse Approximations to Blast Loading (With Comments on Transient Drag),” Sandia Corporation, Albuquerque, NM, Technical Memorandum No. SC-TM-191-55-51.
Kambouchev, N. , Noels, L. , and Radovitzky, R. , 2007, “Numerical Simulation of the Fluid-Structure Interaction Between Air Blast Waves and Free-Standing Plates,” Comput. Struct., 85(11–14), pp. 923–931. [CrossRef]
Gauch, H. L. , Montomoli, F. , and Tagarielli, V. L. , 2018, “The Response of an Elastic-Plastic Clamped Beam to Transverse Pressure Loading,” Int. J. Impact Eng., 112(Suppl. C), pp. 30–40. [CrossRef]
Schiffer, A. , and Tagarielli, V. L. , 2014, “The Dynamic Response of Composite Plates to Underwater Blast: Theoretical and Numerical Modelling,” Int. J. Impact Eng., 70, pp. 1–13. [CrossRef]
Timoshenko, S. , 1959, Theory of Plates and Shells, McGraw-Hill, New York.
Jones, N. , 1989, Structural Impact, Cambridge University Press, Cambridge, UK.
Jones, N. , 1971, “A Theoretical Study of the Dynamic Plastic Behavior of Beams and Plates With Finite-Deflections,” Int. J. Solids Struct., 7(8), pp. 1007–1029. [CrossRef]


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Fig. 2

Validation of the numerical predictions of Model 3, for two different shapes of the incoming pressure wave

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Fig. 4

Results of the mesh convergence study. For all tested cases: αr=0.0, pi,f/p0,f=10.0.

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Fig. 5

Sensitivity of the FSI efficiency (calculated for t<ti) to the velocity ratio: (a) αr=0.0; (b) αr=0.5

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Fig. 6

Sensitivity of the FSI efficiency (defined in terms of absolute peak deflections) to the velocity ratio: (a) αr=0.0; (b) αr=0.5

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Fig. 7

Contours of ηFSI (a) and nondimensional deflection w¯ (b) for αr=0.5 and different incident overpressures

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Fig. 8

Contours of ηFSI (a) and nondimensional deflection w¯ (b) for αr=0 and different incident overpressures

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Fig. 9

Effects of FSI for pi,f/p0,f=1,αr=0.5,k0=1.45,ϕ=1.35: (a) plate deflection history and (b) loading pressures history

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Fig. 1

Schematic illustration of the mathematical problem analyzed

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Fig. 3

Schematic illustration of the model discretization and the adaptive meshing procedure: (a) initial mesh; (b) deformed mesh due to plate movement and air compressibility; and (c) uniform mesh after ALE remeshing

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Fig. 10

Contours of equal displacement for a fully clamped elastic plate, as described in Sec. 6.1

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Fig. 11

Contours of maximum deflection and FSI-efficiency for an elastic square plate of size L=1 m. The dotted lines indicate a boundary between the elastic and elastic-plastic regimes: (a) αr=0.5,ti=10 ms; (b) αr=0.5,ti=100 ms; (c) αr=0.5,ti=500 ms; (d) αr=0,  ti=0.5 ms; (e) αr=0,  ti=2.5 ms; and (f) αr=0,  ti=10 ms.

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Fig. 12

Contours of the assumed velocity field (thin lines) and plastic hinge pattern (thick lines) for a fully clamped rigid-perfectly plastic plate

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Fig. 13

Contours of maximum deflection and FSI-efficiency for a rigid-perfectly plastic square plate of size L=1 m. (a):αr=0.5,ti=10 ms; (b): αr=0.5,ti=100 ms; (c): αr=0.5,ti=500 ms; (d): αr=0.0,ti=0.5 ms; (e): αr=0.0,ti=2.5 ms; (f): αr=0.0,ti=10 ms.



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