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Elasto-plastic constitutive model of aluminum alloy foam
subjected to impact loading
WANG Zhi-hua, JING Lin, ZHAO Long-mao
Institute of Applied Mechanics and Biomedical Engineering,
Taiyuan University of Technology, Taiyuan 030024, China
Received 24 April 2010; accepted 15 August 2010
Abstract: A multi-parameter nonlinear elasto-plastic constitutive model which can fully capture the three typical features of stress—
strain response, linearity, plasticity-like stress plateau and densification phases was developed. The functional expression of each
parameter was determined using uniaxial compression tests for aluminum alloy foams. The parameters of the model can be
systematically varied to describe the effect of relative density which may be responsible for the changes in yield stress and
hardening-like or softening-like behavior at various strain rates. A comparison between model predictions and experimental results of
the aluminum alloy foams was provided to validate the model. It was proved to be useful in the selection of the optimal-density and
energy absorption foam for a specific application at impact events.
Key words: elasto-plastic; constitutive model; metallic foam; strain rate effect; energy absorption
base of empirically obtained stress—strain curves under
1 Introduction quasi-static test, which could only represent a narrow
range of behaviors. The mechanical behavior o
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