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Research Papers

Material Modeling of Concrete for the Numerical Simulation of Steel Plate Reinforced Concrete Panels Subjected to Impacting Loading

[+] Author and Article Information
Huiyun Li

Department of Mechanics,
Tianjin University,
Tianjin 300354, China

Guangyu Shi

Department of Mechanics,
Tianjin University,
Tianjin 300354, China
e-mail: shi_guangyu@163.com

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received June 6, 2016; final manuscript received September 8, 2016; published online February 7, 2017. Assoc. Editor: Taehyo Park.

J. Eng. Mater. Technol 139(2), 021011 (Feb 07, 2017) (12 pages) Paper No: MATS-16-1170; doi: 10.1115/1.4035487 History: Received June 06, 2016; Revised September 08, 2016

The steel plate reinforced concrete (SC) walls and roofs are effective protective structures in nuclear power plants against aircraft attacks. The mechanical behavior of the concrete in SC panels is very complicated when SC panels are under the action of impacting loading. This paper presents a dynamic material model for concrete subjected to high-velocity impact, in which pressure hardening, strain rate effect, plastic damage, and tensile failure are taken into account. The loading surface of the concrete undergoing plastic deformation is defined based on the extended Drucker–Prager strength criterion and the Johnson–Cook material model. The associated plastic flow rule is utilized to evaluate plastic strains. Two damage parameters are introduced to characterize, respectively, the plastic damage and tensile failure of concrete. The proposed concrete model is implemented into the transient nonlinear dynamic analysis code ls-dyna. The reliability and accuracy of the present concrete material model are verified by the numerical simulations of standard compression and tension tests with different confining pressures and strain rates. The numerical simulation of the impact test of a 1/7.5-scale model of an aircraft penetrating into a half steel plate reinforced concrete (HSC) panel is carried out by using ls-dyna with the present concrete model. The resulting damage pattern of concrete slab and the predicted deformation of steel plate in the HSC panel are in good agreement with the experimental results. The numerical results illustrate that the proposed concrete model is capable of properly charactering the tensile damage and failure of concrete.

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Figures

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Fig. 1

Illustration of the present loading surface: (a) yielding curve on the π-plane and (b) yielding curve on the meridian plane

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Fig. 2

The relation of pressure and volumetric strain

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Fig. 3

Comparison of stress–strain curves given by numerical simulation and experimental results under uniaxial loading: (a) uniaxial compression [50] and (b) uniaxial tension [51]

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Fig. 4

Comparison of stress–strain curves given by numerical simulation and experimental result under biaxial loading: (a) biaxial compression [54] and (b) biaxial tension [54]

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Fig. 5

Simulated and measured stress–strain curves of concrete under different confinement pressures

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Fig. 6

Comparison of numerical and experimental volumetric responses under triaxial loading: with confining pressures of (a) 200 MPa and (b) 400 MPa

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Fig. 7

Numerical and experimental [34] stress–strain behaviors of concrete cylinder (the so-called mortar in Ref. [34]) under dynamic compression tests at different strain rates

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Fig. 8

Stress–strain curves of concrete under dynamic tension testing at different strain rates: numerical results and their comparison with the experimental results [35]

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Fig. 9

Computational model for axial symmetry used in the penetration simulation

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Fig. 10

The distributions of predicted damages in the concrete target: (a) tensile damage and (b) compressive damage

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Fig. 11

The residual velocities using simulation and the test data of Hanchak et al. [55]

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Fig. 12

The scabbing on the rear surface of concrete target: (a) field test [55] and (b) simulation result

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Fig. 13

The distribution of simulated compressive damages based on the HJC material model

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Fig. 14

Finite element analysis model of HSC-80 panel and the 1/7.5-scale aircraft: (a) the front view of HSC-80 panel and (b) the side view of the system

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Fig. 15

Fracture processes of aircraft model and HSC-80 panel

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Fig. 16

Velocity time history curves of engine

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Fig. 17

The damage distributions in the concrete slab of HSC-80 panel: (a) tensile damage and (b) compressive damage

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Fig. 18

The deformation contours of the steel plate in HSC-80 panel at 12 ms: (a) the side view and (b) the angle view

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Fig. 19

The concrete damage and steel plate deformation in HSC-80 panel reported in Ref. [4]

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