Analysis of micro/nanobridge test based on nonlocal elasticity

Based on the nonlocal Timoshenko beam theory, we develop a mechanics approach to analyze the micro/nanobridge test. This approach considers the shear deformation, the strain gradients, the substrate deformation, and the contact deformation between the indenter bar tip and a tested beam, resulting in an analytic solution of beam deflection versus applied load involving other parameters of material intrinsic length, film residual stress, and cylinder bar radius. The same approach was further developed to analyze the delamination test, giving explicit formulas for the energy release rate and the phase angle.