Characterizations of Macroscopic Mechanical Properties of Metallic Foams by Classic Constitutive Models Under Triaxial Tension and Tension-Compression Loading
Metallic foams are often subjected to multiaxial tension,tension-compression and compression loading in applications,and they exhibit significant asymmetry of tension and compression.The existed classic constitutive models of metallic foams well describe macroscopic mechanical properties under multiaxial compression loading,but it is still doubtful whether these models characterize mechanical behaviors under multiaxial tension and tension-compression loading.Series of simulations were conducted to obtain stresses and strains of metallic foams under triaxial tension,tension-compression,and compression loading.These results were compared with predictions by two classic constitutive models of metallic foams:the D-F model and Tang model.Results show that ellipticity parameter significantly affect the predictions of D-F model,and the best way to calculate the elliptici-ty was fitting yield data covering multiaxial tension,tension-compression,and compression loading.Combing with the stress and strain of uniaxial tension test,the D-F model well characterizes macroscopic elastic and plastic behaviors under multiaxial tension-compression loading,but there is a deficiency that this model can't characterize macro-scopic behaviors when the plastic dissipation energy is larger than that of the failure state of uniaxial tension test.And the D-F model cannot accurately describe macroscopic behaviors of multiaxial tension cases.Tang model is suitable for multiaxial tension and tension-com-pression cases individually,and these four parameters for equivalent stress and strain under triaxial tension loading differ from those under triaxial compression loading and ten-sion-compression loading.But the equivalent stress and strain curves show bad consistency for both triaxial compression and tension-compression cases.
metallic foamconstitutive modeltriaxial tensiontriaxial tension-compressionelastic and plastic mechanical properties