A unified theory for multiscale constitutive modeling of composites is developed using
the concept of structure genomes. Generalized from the concept of the representative
volume element, a structure genome is defined as the smallest mathematical building
block of a structure. Structure genome mechanics governs the necessary information
to bridge the microstructure length scale of composites and the macroscopic length
scale of structural analysis and provides a unified theory to construct constitutive
models for structures including three-dimensional structures, beams, plates, and
shells over multiple length scales. For illustration, this paper is restricted to construct
the Euler–Bernoulli beam model, the Kirchhoff–Love plate/shell model, and the
Cauchy continuum model for structures made of linear elastic materials. Geometrical
nonlinearity is systematically captured for beams, plates/shells, and Cauchy
continuum using a unified formulation. A general-purpose computer code called
SwiftComp (accessible at https://cdmhub.org/resources/scstandard) implements
this unified theory and is used in a few example cases to demonstrate its
application.
Keywords
Mechanics of Structure Genome, Structural Mechanics,
Micromechanics, Composites Mechanics, Homogenization
