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Materials 2013, 6(1), 1-17; doi:10.3390/ma6010001

Article

A Refined Finite Element Formulation for the Microstructure-Dependent Analysis of Two-Dimensional (2D) Lattice Materials

Geminiano Mancusi*  and Luciano Feo

Department of Civil Engineering, University of Salerno, Fisciano 84084, Italy

* Author to whom correspondence should be addressed.

Received: 28 September 2012; in revised form: 12 December 2012 / Accepted: 14 December 2012 / Published: 20 December 2012

Download PDF Full-Text [356 KB, Updated Version, uploaded 24 December 2012 12:45 CET]

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Abstract: A finite element approximation is proposed for the dynamic analysis of two-dimensional (2D) lattice materials. The unit cell is modeled by means of a defined number of shear deformable micro-beams. The main innovative feature concerns the presence of a microstructure-dependent scale length, which allows the consideration of the so called size-effect that can be highly relevant, due to the characteristics of the lattice at the local scale. Some numerical results show the influence of the microstructure parameter on the dynamic behavior of two-dimensional lattice materials.

Keywords: lattice materials; band gaps; couple stress theory; finite element analysis

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