Multiresolution analysis for material design

Stiffest elastic networks

“…The relationship between the mechanical properties of elastic networks on a macroscopic level and the details of their microstructures are the key to optimization and design of lightweight, strong and tough materials [14]. The continuum modelling of such discrete structures has a long history, going as far back as the pioneering work of Cauchy & Poisson [15][16][17][18].…”

Comparison of multiresolution continuum theory and non-local damage model for use in simulation of manufacturing processes

“…The internal virtual power is decomposed into a homogeneous and inhomogeneous part (McVeigh et al, 2006;Vernerey et al, 2009). We assume that during the deformation the rotation of the microdomain relative to macrodomain is ignored.…”

Computer Aided Multi-scale Design of SiC-Si3N4 Nanoceramic Composites for High-Temperature Structural Applications

“…Seepersad et al [88] presented a robust topology design method for designing materials on mesoscopic scales by topologically and parametrically tailoring them to achieve elastic properties that are superior to those of standard or heuristic designs, customized for large-scale applications, and less sensitive to imperfections in the material. McVeigh et al [89] proposed a multi-resolution analysis framework for material design, in which a material is physically decomposed to each individual scale of interest, and the deformation and constitutive behavior of each scale can then be examined separately while determining the overall material properties. Pelegri and Tekkam [90] proposed a novel methodology for the maximization of mode I critical delamination fracture toughness using design of experiments and response surface, that allows continuous and discrete factors to be considered simultaneously like the width, length, thickness, stacking angle, and stacking sequence of the laminate.…”