A Buckling Performance Index for Topology Design of Periodic Microstructures

Miguel Matos Neves, Ole Sigmund, Martin Philip Bendsøe · Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU) · 2000

A linearized elastic buckling formulation for perfectly periodic microstructured materials is presented, including instability modes in the microstructure. An asymptotic method provides us with the equations for stability analysis at macroscopic and microscopic level. After a brief discussion of its range of validity, the problem of improving the elastic buckling performance of perfectly periodic cellular microstructures is addressed in order to establish a comparative analysis between different distributions of material in the microstructure. Some finite element results illustrate the idea.

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