Post-buckling analysis of elastic honeycombs subject to in-plane biaxial compression |
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Institution: | 1. Transportation and Hydrogen Systems Center, National Renewable Energy Laboratory, Golden, CO 80401, USA;2. Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, New York 11794, USA;3. Bristol Composites Institute (ACCIS), University of Bristol, Bristol BS8 1TR, UK;4. Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA |
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Abstract: | In this paper, employing the homogenization theory and the microscopic bifurcation condition established by the authors, we discuss which microscopic buckling mode grows in elastic honeycombs subject to in-plane biaxial compression. First, we focus on equi-biaxial compression, under which uniaxial, biaxial and flower-like modes may develop as a result of triple bifurcation. By forcing each of the three modes to develop, and by comparing the internal energies, we show that the flower-like mode grows steadily if macroscopic strain is controlled, while either the uniaxial or biaxial mode develops if macroscopic stress is controlled. Second, by analyzing several cases other than equi-biaxial compression, it is shown that a second bifurcation from either the uniaxial or biaxial mode to the flower-like mode, which is distorted, occurs under biaxial compression in a certain range of biaxial ratio under macroscopic strain control. Finally, the possibility of macroscopic instability under biaxial compression is discussed. |
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