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Research Papers

A Computational Constitutive Model for Glass Subjected to Large Strains, High Strain Rates and High Pressures

[+] Author and Article Information
Timothy J. Holmquist, Gordon R. Johnson

 Southwest Research Institute, 5353 Wayzata Blvd., Minneapolis, MN 55416

J. Appl. Mech 78(5), 051003 (Jul 27, 2011) (9 pages) doi:10.1115/1.4004326 History: Received October 15, 2010; Revised May 06, 2011; Published July 27, 2011; Online July 27, 2011

This article presents a computational constitutive model for glass subjected to large strains, high strain rates and high pressures. The model has similarities to a previously developed model for brittle materials by Johnson, Holmquist and Beissel (JHB model), but there are significant differences. This new glass model provides a material strength that is dependent on the location and/or condition of the material. Provisions are made for the strength to be dependent on whether it is in the interior, on the surface (different surface finishes can be accommodated), adjacent to failed material, or if it is failed. The intact and failed strengths are also dependent on the pressure and the strain rate. Thermal softening, damage softening, time-dependent softening, and the effect of the third invariant are also included. The shear modulus can be constant or variable. The pressure-volume relationship includes permanent densification and bulking. Damage is accumulated based on plastic strain, pressure and strain rate. Simple (single-element) examples are presented to illustrate the capabilities of the model. Computed results for more complex ballistic impact configurations are also presented and compared to experimental data.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Description of the glass model

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Figure 2

Description of the interior, surface and reference strength

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Figure 3

Example demonstrating the pressure-volume response including permanent densification

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Figure 4

Example demonstrating damage softening

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Figure 5

Example demonstrating the effect of the 3rd invariant

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Figure 6

Example demonstrating the effects of time-dependent failure and high-internal-tensile strength

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Figure 7

Comparison of the computed results and experimental results for two plate-impact tests

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Figure 8

The initial geometry and computed results for a gold rod impacting a borosilicate target with a copper buffer at V = 800 m/s and V = 900 m/s

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Figure 9

Comparison of computed and experimental results for a gold rod impacting bare borosilicate glass

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Figure 10

Comparison of computed and experimental results for a steel projectile impacting borosilicate glass

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Figure 11

Comparison of computed results for a steel projectile impacting borosilicate glass at two scales

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