Isogeometric Analysis for the Arbitrary AFG Microbeam with Two-Phase Nonlocal Stress-Driven Model

Scale effects play critical roles in the mechanical responses of microstructures. An isogeometric analysis was developed here to investigate the mechanical responses of an axially functionally graded microbeam. The Euler–Bernoulli beam model was utilized, and size effects in the structure were modeled with a stress-driven two-phase local/nonlocal integral constitution. The governing equation of microstructures was given in an equivalent differential form with two additional constitutive boundary conditions. The framework was verified and utilized to analyze the microbeam’s static and dynamic mechanical responses. The present work showed great potential for modeling various types of functionally graded microstructures.