Response of boron carbide subjected to large strains, high strain rates, and high pressures

1999 ◽  
Vol 85 (12) ◽  
pp. 8060-8073 ◽  
Author(s):  
Gordon R. Johnson ◽  
Tim J. Holmquist
2011 ◽  
Vol 78 (5) ◽  
Author(s):  
Timothy J. Holmquist ◽  
Gordon R. Johnson

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.


2003 ◽  
Vol 94 (3) ◽  
pp. 1639-1646 ◽  
Author(s):  
Gordon R. Johnson ◽  
Timothy J. Holmquist ◽  
Stephen R. Beissel

Author(s):  
Timothy J. Holmquist ◽  
Gordon R. Johnson ◽  
Charles A. Gerlach

In 2011, Holmquist and Johnson presented a model for glass subjected to large strains, high strain rates and high pressures. It was later shown that this model produced solutions that were severely mesh dependent, converging to a solution that was much too strong. This article presents an improved model for glass that uses a new approach to represent the interior and surface strength that is significantly less mesh dependent. This new formulation allows for the laboratory data to be accurately represented (including the high tensile strength observed in plate-impact spall experiments) and produces converged solutions that are in good agreement with ballistic data. The model also includes two new features: one that decouples the damage model from the strength model, providing more flexibility in defining the onset of permanent deformation; the other provides for a variable shear modulus that is dependent on the pressure. This article presents a review of the original model, a description of the improved model and a comparison of computed and experimental results for several sets of ballistic data. Of special interest are computed and experimental results for two impacts onto a single target, and the ability to compute the damage velocity in agreement with experiment data. This article is part of the themed issue ‘Experimental testing and modelling of brittle materials at high strain rates’.


2020 ◽  
Vol 143 ◽  
pp. 104031 ◽  
Author(s):  
Xiangyu Sun ◽  
Ankur Chauhan ◽  
Debjoy D. Mallick ◽  
Andrew L. Tonge ◽  
James W. McCauley ◽  
...  

1986 ◽  
Vol 108 (4) ◽  
pp. 335-339 ◽  
Author(s):  
R. H. Warnes ◽  
R. R. Karpp ◽  
P. S. Follansbee

The freely expanding ring test (ERT) is a conceptually simple test for determining the stress-strain behavior of materials at large strains and at high strain rates. This test is conducted by placing a thin ring of test material in a state of uniform radial expansion and then measuring its subsequent velocity-time history. The ring is usually propelled by a high explosive driving system. The test has not become popular in the materials property community, however, because there has been some concern about how the launching of the ring sample with an explosively generated shock wave might affect the properties to be measured. To determine the suitability of the ERT for these fundamental investigations, a series of experiments was performed on a carefully controlled material—oxygen-free electronic fully annealed copper. Recovered ring samples were analyzed and the change in hardness determined. Comparisons of the ERT data with that from Hopkinson bar tests at strain rates of about 5 × 103 s−1 indicate that the shock-induced hardness is approximately equivalent to a strain hardening of 5 percent. ERT data on this material at strain rates up to 2.3 × 104 s−1 are presented.


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