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Research Papers

A Dynamic Three Invariant Cap-Viscoplastic Damage Model for Ultrahigh-Performance Concrete

[+] Author and Article Information
Bhasker Paliwal

Center for Advanced Vehicular Systems,
200 Research Blvd.,
Starkville, MS 39759;
Department of Mechanical Engineering,
Mississippi State University,
479-1 Hardy Road, 210 Carpenter Hall,
Box 9552, Starkville, MS 39762
e-mail: bhasker@cavs.msstate.edu

Youssef Hammi

Center for Advanced Vehicular Systems,
200 Research Blvd.,
Starkville, MS 39759;
Department of Mechanical Engineering,
Mississippi State University,
479-1 Hardy Road, 210 Carpenter Hall,
Box 9552, Starkville, MS 39762
e-mail: yhammi@cavs.msstate.edu

Mei Chandler

Geotechnical and Structures Laboratory,
U.S. Army Engineer Research and Development Center,
Vicksburg, MS 39180
e-mail: mei.q.chandler@erdc.dren.mil

Robert D. Moser

Geotechnical and Structures Laboratory,
U.S. Army Engineer Research and Development Center,
Vicksburg, MS 39180;
Department of Civil and Environmental Engineering,
Mississippi State University,
501 Hardy Road, 235 Walker Hall,
Box 9546, Starkville, MS 39762
e-mail: robert.d.moser@usace.army.mil

Mark F. Horstemeyer

School of Engineering,
Liberty University,
1971 University Blvd.
Lynchburg, VA 24515
e-mail: mhorstemeyer@liberty.edu

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the Journal of Engineering Materials and Technology. Manuscript received December 27, 2018; final manuscript received April 27, 2019; published online May 30, 2019. Assoc. Editor: Curt Bronkhorst. This work is in part a work of the U.S. Government. ASME disclaims all interest in the U.S. Government’s contributions.

J. Eng. Mater. Technol 142(1), 011001 (May 30, 2019) (12 pages) Paper No: MATS-18-1342; doi: 10.1115/1.4043705 History: Received December 27, 2018; Accepted May 01, 2019

A new dynamic strain rate-dependent elasto-viscoplastic damage constitutive model for ultrahigh-performance concrete (UHPC) is developed by incorporating Duvaut–Lions viscoplasticity generalized to multisurface plasticity followed by rate-dependent dynamic damage initiation and evolution under multiaxial loading, to our previous elastoplastic damage model. The predictive capability of the proposed model is compared against experimental results and experimentally observed features from tests on Cor-Tuf concrete, a reactive powder concrete (RPC) and a proprietary UHPC developed by the U.S. Army Corps of Engineers. These experiments were conducted under various compressive loading conditions under low to high confinement and different strain rates, and model predictions demonstrate excellent agreement with these results.

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References

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Figures

Grahic Jump Location
Fig. 1

Evolution of the of the yield surface F in principle stress space

Grahic Jump Location
Fig. 2

ξ̅0 as a function of q(κp) as obtained from the original model (see Appendices B.1 and B.2 of Ref. [25]) compared with that obtained from closed functional form developed in the present work (Eq. (21))

Grahic Jump Location
Fig. 3

ρ̅max as a function of q(κp) as obtained from the original model (see Appendices B.1 and B.2 of Ref. [25]) compared with that obtained from closed functional form developed in the present work (Eq. (21))

Grahic Jump Location
Fig. 4

Evolution of the compressive and tensile meridians of the yield surface F in Rendulic plane during hardening with ξ̅0 and ξ̅1 obtained from the original model (see Appendices B.1 and B.2 of Ref. [25]) compared with those obtained using a closed functional form developed in the present work (Eq. (21)) (Color version online.)

Grahic Jump Location
Fig. 5

Failure data of Cor-Tuf2 UHPC determined from the peak stress obtained under uniaxial and triaxial compression tests (ERDC/GSL Report [1]) compared with the compressive meridian of the failure surface obtained from the model

Grahic Jump Location
Fig. 6

Plots of (a) axial stress (σ11) versus axial strain (ε11) and (b) axial stress (σ11) versus volumetric strain (εV) under triaxial compressive stress states with low-to-moderate confinement levels, obtained by using the present model compared with the experimental results on Cor-Tuf2 UHPC specimens (ERDC/GSL Report [1])

Grahic Jump Location
Fig. 7

Plots of (a) axial stress (σ11) versus axial strain (ε11) and (b) axial stress (σ11) versus volumetric strain (εV) under triaxial compressive stress states with high confinement levels, obtained by using the present model compared with the experimental results on Cor-Tuf2 UHPC specimens (ERDC/GSL Report [1])

Grahic Jump Location
Fig. 8

Plots of mean stress (σV) versus volumetric strain (εV) under hydrostatic compression, obtained by using the present model compared with the experimental results on Cor-Tuf2 UHPC specimens (ERDC/GSL Report [1])

Grahic Jump Location
Fig. 9

Plots of axial stress (σ11) versus axial strain (ε11) under plane strain compression, obtained by using the present model compared with the experimental results on Cor-Tuf2 UHPC specimens (ERDC/GSL Report [1])

Grahic Jump Location
Fig. 10

Plot of dynamic increase factor versus the applied strain rate under uniaxial compression

Grahic Jump Location
Fig. 11

Plots of axial stress (σ11) versus axial strain (ε11) under quasistatic (QS) and several dynamic loading rates under uniaxial compression loading. The inset shows the variation of stress with time

Grahic Jump Location
Fig. 12

Plots of axial stress (σ11) versus axial strain (ε11) under quasistatic (QS) and two dynamic loading rates under triaxial compression loading. The discrete data point in each plot with error bars represent dynamic strength reported by Mondal and Chen [19]

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