Abstract:
A novel mathematical formulation is presented for the applications of the stress-driven nonlocal theory of elasticity to engineering nano-scale problems requiring longitudinal discretization. Specifically, a differential formulation accompanied with novel constitutive continuity conditions is provided for determining exact closed-form solutions of nonlocal Euler-Bernoulli beams with loading discontinuities, i.e. points of discontinuity for external loads and internal forces. Constitutive continuity conditions have to be satisfied in interior points where a loading discontinuity occurs and contain integral convolutions of the stress over suitable parts of the nonlocal beam. Several results show the effectiveness of the proposed method.
Keywords:
closed-form solutions, discretization, Euler-Bernoulli beams, nanobeams
Affiliations:
| Caporale R. | - | other affiliation |
| Darban H. | - | other affiliation |
| Luciano R. | - | Università degli Studi di Napoli "Parthenope" (IT) |
