Abstract
This paper is concerned with stability of the uniaxial, biaxial and flower-like buckling modes of honeycombs subject to in-plane biaxial compression. One of the three buckling modes is forced to exclusively develop at multiple bifurcation points by imposing appropriate constraints on the field of microscopic velocity. Then, the internal energies generated are compared for discussing which mode is stable. Either macroscopic strain or macroscopic stress is controlled to induce microscopic buckling in computation. The followings are thus found: Under the biaxial compression in which double bifurcation occurs, the biaxial mode is stable under the two controlling conditions. Under the equi-biaxial compression in which triple bifurcation occurs, the flower-like mode is stable under macroscopic strain control, whereas the uniaxial and biaxial modes are stable under macroscopic stress control.
