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| MINIMUM COMPLIANCE DESIGN OF PERIODIC LATTICE MATERIALS BASED ON EXTENDED MULTISCALE FINITE ELEMENT METHOD |
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Abstract The paper deals with the problem of minimum compliance design of structures composed of periodic lattice materials with the sectional area of micro components as design variables under volume constraints with Extended Multiscale Finite Element Method. Considering unit cells with finite size, optimization model which adapts to the structure with complex geometry and loading conditions has been established. The size effect of micro-structure of the lattice materials is discussed. Cantilever and L-shaped beams under linear boundary condition and periodic boundary condition are optimized with sequential quadratic programming algorithm. The reliability of the optimization model and algorithm are verified by the numerical examples. The paper presents a new approach for optimization of lattice materials to compose engineering constructions.
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Received: 28 October 2011
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Corresponding Authors:
Yan Jun
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2013, Vol. 34 
