Research Papers: Materials and Fabrication

Failure of Ductile Materials Subject to Varying Strain Rates

[+] Author and Article Information
Y. W. Kwon, K. S. Tan

Department of Mechanical and Astronautical Engineering, Naval Postgraduate School, Monterey, CA 93940

J. Pressure Vessel Technol 133(1), 011402 (Jan 21, 2011) (7 pages) doi:10.1115/1.4002054 History: Received January 11, 2010; Revised June 01, 2010; Published January 21, 2011; Online January 21, 2011

Strain rate affects the mechanical properties of ductile materials in terms of their stiffness and strength. In particular, yield and failure strengths and strains depend on the strain rate applied to the materials. When a metallic material is subjected to a typical dynamic loading, the material usually undergoes various strain-rate loading conditions. One of the main questions is whether the material is going to fail or not. To the authors’ best knowledge, there has been no failure criterion proposed for a varying strain-rate loading condition. This paper presents a failure criterion under nonuniform strain-rate loading conditions. Experiments were conducted to support the proposed failure criterion using aluminum alloy AA3003-H14. This study also investigated the that failure envelops in terms of strain rates and the normalized failure strengths. Furthermore, the effects of strain rates on strength and stiffness properties were also examined.

Copyright © 2011 by American Society of Mechanical Engineers2011 by American Society of Mechanical Engineers
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Figure 1

Dimensions of test specimens. All dimensions in millimeters.

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Figure 2

Plot of ultimate and yield strengths versus strain rates (U.S. and YS indicate ultimate and yield strength, respectively, and the curve fitting is using the Cowper–Symonds equation)

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Figure 3

Plot of normalized yield strengths versus inverse of strain rates

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Figure 4

Plot of ultimate, yield, and fracture strains versus strain rates

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Figure 5

Plot of elastic modulus versus strain rates

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Figure 6

Plot of strain energy densities at fracture versus strain rates

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Figure 7

Time-history plot of strain

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Figure 8

Time-history plot of strain rate corresponding to Fig. 7

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Figure 9

Stress-strain curve segments associated with strain and strain-rate histories

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Figure 10

Plastic strain energy density between two strain levels

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Figure 11

Comparison of plastic strain energy densities accumulated during two different sequences of loading rates with an equal amount of strain: (a) loading sequence: loading with ε̇1 followed by loading with ε̇2 and (b) loading sequence: loading with ε̇2 followed by loading with ε̇1

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Figure 12

Comparison of plastic strain energy densities accumulated during two different sequences of loading and unloading: (a) loading sequence: loading with ε̇1>unloading with ε̇1>loading with ε̇2 and (b) loading sequence: loading with ε̇2>unloading with ε̇2>loading with ε̇1




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