Abstract：In this paper, the failure modes of the second order hierarchical corrugated truss structure are analyzed based on the theories of elastic plates and hoff's sandwich plates. According to the force analysis for a unit free body of core, the relationship between load and deformation is obtained. The structure would fail when the stress reaches the yield stress or the axial force reaches the critical load, and thus six competing failure modes are analyzed under the compressive load or shear load, respectively. The expressions for the compressive stress and shear stress are given. It’s defined that the critical failure mode in compression or shear is the one associated with the lowest collapse strength. Then, the failure mechanism map is constructed to illustrate the regimes of dominance of the failure modes. Comparison with the results by finite element analysis showed that the theoretical predictions based on the theory of plate proposed in this paper have satisfying accuracy.
2014, Vol. 35 
