Design of microstructures of periodic composite materials.

摘要

The design of composite materials with prescribed thermoelastic properties opens many possibilities in the fields of mechanical design and optimization.;We are designing a composite material with a prescribed linear anisotropic elastic constitutive tensor E and a thermal expansion tensor ;We homogenize the properties using the finite element method. The homogenized properties are written in sums of element mutual energies for the independent thermoelastic coefficients, which are nine for anisotropic 2D cells (27 for 3D cells). We solve the model of the unit cell applying the basic unit pre-strains ;The homogenization problem is inverted; we find a microstructure that matches a given set ;We show some results to some specific problems, as designing negative Poisson's ratio materials. Some of the resulting materials were actually built with a rapid prototyping machine.