Dynamic analysis of multi-cracked EulerBernoulli beams with gradient elasticity
The dynamic analysis of multi-cracked gradient-elastic beams is presented. Beams exact solutions under static point loads are used as Galerkin base functions. The non-local model includes two length-scale parameters for strain and stress. Beams with any number of cracks and any boundary conditions can be studied. Microstructural effects increase with the modal wavelength over length-scale ratio.
eulerbernoulli beam aifantis strain gradient eringens stress gradient galerkin method hybrid gradient elasticity (hge) non-local elasticity