Abstract: We investigate the effective elastic properties of disordered heterogeneous materials whose Young's modulus varies spatially as a lognormal random field. For one, two, and threedimensional (1D, 2D, and 3D) rectangular ...

Abstract: We investigate the elastic effective modulus Eeff of twodimensional checkerboard specimens in which square tiles are randomly assigned to one of two component phases. This is a model system for a wide class of multiphase ...

Abstract: A paradigm in nature is to architect composites with excellent material properties compared to its constituents, which themselves often have contrasting mechanical behavior. Most engineering materials sacrifice strength ...