Strength Hypothesis Applied to Hard Foams
The analysis of well-known strength hypotheses leads to the derivation of a generalized model, which contains a number of known hypotheses as special cases and could be used for the description of the 3D-failure of hard foams. This model in the case of the strength hypothesis for hard foams is characterized by a closed surface in the principal stress space. In order to fit the model to the experimental data certain objective functions are formulated. The optimization results are shown in the Pareto-diagram (optimal solutions for several targets). The results of the fitting are plotted in the Burzyński-plane. It can be seen that reliable modeling requires the knowledge of the material behavior under hydrostatic tension and compression.
R. L. Burguete, M. Lucas, E. A. Patterson, S. Quinn
V. A. Kolupaev et al., "Strength Hypothesis Applied to Hard Foams", Applied Mechanics and Materials, Vol. 70, pp. 99-104, 2011