1995/03/01 by H. A. Wienecke, J. R. Brockenbrough, A. D. Romanko
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Anisotropy #Boundary value problem #Composite Material Mechanics #Composite material #Composite number #Cube (algebra) #Deformation (meteorology) #Discretization #Displacement (psychology) #Finite element method #Geometry #Materials science #Mathematical analysis #Mathematics #Mechanical Behavior of Composites #Periodic boundary conditions #Physics #Representative elementary volume #Structural engineering #Symmetry (geometry) #Unit (ring theory)
paper · doi:10.1115/1.2895894
openalex publication_date 1995/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07
A formulation of a fully three-dimensional unit cell model is presented for uniform general deformation at a point in a composite material. The unit cell model is constructed as a finite element discretization of the unit cube. General displacement periodicity boundary conditions are prescribed such that the cell may be considered as a representative volume element of material. As a particular application of the model, the problem of determining the least anisotropic periodic model of a particulate composite is considered, and comparisons are made with bounds for elastic two-phase composites possessing cubic symmetry.