Abstract
The finite element method to form Michell truss in three-dimensions is presented. The orthotropic composite with fiber-reinforcement is employed as the material model to simulate Michell truss. The orientation and densities of fibers at nodes are taken as basic design variables. The stresses and strains at nodes are calculated by finite element method. An iteration scheme is suggested to adjust the orientations of fibers to be along the orientations of principal stresses, and the densities of fibers according to the strains in the orientations of fibers. The strain field satisfying Michell criteria and truss-like continuum are achieved after several iterations. Lastly, the Michell truss is showed by continuous lines, which are formed according to the orientations of fibers at nodes. Several examples are used to demonstrate the efficiency of the presented approach.
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Communicated by GU Yuang-xian
Project supported by the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institution by Ministry of Education of China
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Ke-min, Z., Jun-feng, L. Forming Michell truss in three-dimensions by finite element method. Appl Math Mech 26, 381–388 (2005). https://doi.org/10.1007/BF02440089
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DOI: https://doi.org/10.1007/BF02440089