Sample-based synthesis of two-scale structures with anisotropy

摘要: Abstract A vast majority of natural or synthetic materials are characterized by their anisotropic properties, such as stiffness. Such anisotropy is effected the spatial distribution fine-scale structure and/or constituent phases at a finer scale. In design, proper control may greatly enhance efficiency and performance synthesized structures. We propose sample-based two-scale synthesis approach that explicitly controls effective material properties on coarse scale orienting sampled neighborhoods fine first characterize non-uniform orientations sample showing principal axes an orthotropic be determined eigenvalue decomposition its stiffness tensor. tensors can efficiently estimated based two-point correlation functions Then we synthesize rotating structures from to follow given target orientation field. The effectiveness proposed demonstrated through examples in both 2D 3D.