2019/03/18 by Bruno Reinaldo Gonçalves, Goncalves, Bruno Reinaldo, Anssi T. Karttunen +3
Engineering · Materials Science · #Classical Physics (physics.class-ph) #Composite Structure Analysis and Optimization #FOS: Physical sciences #Nonlocal and gradient elasticity in micro/nano structures #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.1903.07805
openalex publication_date 2019/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A geometrically nonlinear sandwich beam model founded on the modified couple stress Timoshenko beam theory with Kármán kinematics is derived and employed in the analysis of periodic sandwich structures. The constitutive model is based on the mechanical behavior of sandwich beams, with the bending response split into membrane-induced and local bending modes. A micromechanical approach based on the structural analysis of a unit cell is derived and utilized to obtain the stiffness properties of selected prismatic cores. The model is shown to be equivalent to the classical thick-face sandwich theory for the same basic assumptions. A two-node finite element interpolated with linear and cubic shape functions is proposed and its stiffness and geometric stiffness matrices are derived. Three examples illustrate the model capabilities in predicting deflections, stresses and critical buckling loads of elastic sandwich beams including elastic size effects. Good agreement is obtained throughout in comparisons with more involved finite element models.