European Journal of Mechanics, A/Solids, cilt.119, 2026 (SCI-Expanded, Scopus)
This study addresses the microstructure size-dependent effect on the static bending behavior of a thin polymer two-layer microbeams bonded with an epoxy-based adhesive microlayer using the Euler–Bernoulli and Timoshenko beam (shear deformation) models based on the modified couple stress theory. A simply supported bonded layered microbeam is analyzed under uniform and sinusoidal distributed loads, and the deflections, rotations, strain and stress components at any axial and transverse locations are calculated based on the classical two beam models, and compared with those of the two beam models based on the modified couple stress theory. The maximum deflection, rotation, axial and shear stresses are also evaluated for various geometrical beam-parameters and each distributed load. The two beam models based on the modified couple stress theory capture a considerable size effect on the deflection, rotation variations along the beam axis, and on the normal, shear strain and stress variations along the beam axis and thickness whereas the classical beam models overestimate them. Both the classical beam theories and the modified couple stress theory indicate discontinuous through-thickness axial stress variations at the bi-material interfaces of adhesive microlayer.