Poisson's ratio of rectangular anti-chiral structures with size dispersion of circular nodes

摘要: Using Finite Element computer simulations, Poisson's ratio (PR) is determined for anti-chiral structures built on rectangular lattices with disorder introduced by stochastic distributions of circular node sizes. The investigated models are parameterized the lattice anisotropy, rib thickness, and radii distribution nodes. Three approaches developed. first approach, exact in limit infinitely large system dense mesh, uses only planar elements (CPS3). Two other approximate exploit one-dimensional utilizing Timoshenko beam theory. It shown that case sufficiently anisotropy studied PR can be highly negative, reaching any negative value, including those lower than . Thin ribs thin-walled nodes favor low values PR. In thick thick-walled higher. both cases dispersion has a minor effect lowest A comparison results obtained three different shows based approximations valid thin limit. difference between them grows increasing thickness.