The Use of Auxetic Materials in Smart Structures

Abstract

This paper presents a study of the implications of using auxetic materials in the design of smart structures. By using auxetic materials as core and piezoelectric actuators as face layers to provide control forces, the problem of the shape control of sandwich beams is analyzed under loading conditions. The mechanical model is based on the shear deformable theory for beams and the linear theory of piezoelectricity. The numerical solution of the model is based on superconvergent (locking-free) finite elements for the beam theory, using Hamilton's principle. The optimal voltages of the piezo-actuators for shape control of a cantilever beams with classical and auxetic material are determined by using a genetic optimization procedure. Related numerical solutions of static problems demonstrate the role of auxetic material in the deformation, shape control and stress distribution of the beam and related twodimensional composite elastic structures.

Negative Poisson’s ratio of two-dimensional hard cyclic tetramers

“…This interest is motivated by at least two reasons. First and most importantly is the eventual use of such materials for practical applications [28,9,[29][30][31][32][33]. Second is the desire of understanding the mechanisms which lead to this kind of unusual behavior.…”

Poisson's ratio of simple planar ‘isotropic’ solids in two dimensions

“…In recent years one can observe growing interest in studies of systems exhibiting anomalous (negative) Poisson's ratio . This comes both from increasing number of possible applications of materials showing this unusual property [29][30][31][32] and from interest in understanding fundamental mechanisms leading to it [33][34][35].…”

Poisson's ratio effects on the mechanics of auxetic nanobeams

“…For instance, the buckling behavior of anisotropic-auxetic beams were investigated in (Heyliger, 2015). Hadjigeorgiou and Stavroulakis (2004) demonstrated the applicability of auxetic cantilever beams for smart structures. Moreover, the shear deformation behavior of auxetic beams was discussed by Lim (2015).…”