2015/07/31 by Martin Doškář, Jan Novák · 22 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Cellular and Composite Structures #Classical mechanics #Composite Material Mechanics #Composite material #Discretization #Engineering #Finite element method #Homogenization (climate) #Jigsaw #Kinematics #Materials science #Mathematical analysis #Mathematics #Physics #Porosity #Structural engineering #cond-mat.mtrl-sci
paper · pdf · doi:10.1016/j.compstruc.2016.01.003
published in Computers & Structures 166, 33-41 (Elsevier BV) · 11 pages, 7 figures, 3 tables
openalex publication_date 2016/01/23 · arxiv created 2016/01/25 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
An approach to homogenization of high porosity metallic foams is explored. The emphasis is on the \Alporas foam and its representation by means of two-dimensional wire-frame models. The guaranteed upper and lower bounds on the effective properties are derived by the first-order homogenization with the uniform and minimal kinematic boundary conditions at heart. This is combined with the method of Wang tilings to generate sufficiently large material samples along with their finite element discretization. The obtained results are compared to experimental and numerical data available in literature and the suitability of the two-dimensional setting itself is discussed.