Second-grade elasticity of three-dimensional pantographic lattices: theory and numerical experiments

Abstract A continuum theory of pantographic lattices, based on second-grade elasticity, is presented. The proposed model able to describe the mechanical behavior a type material structure made up multiple layers sheets connected with third family fibers. Thus, these materials are characterized by an orthogonal pattern fibers that can bend, stretch and twist. Numerical experiments illustrate predictive potential when subjected different types loads, including compression, torsion two kinds bending. Analyzing responses for various tests makes it possible reveal unusual deformation patterns characteristic such “pantographic blocks.” simulations using finite element method intended assist in designing experimental program 3D-printed specimens materials.