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Polish Academy of Sciences

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R. Caporale


Recent publications
1.  Caporale R., Darban H., Luciano R., Exact closed-form solutions for nonlocal beams with loading discontinuities, MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, ISSN: 1537-6494, DOI: 10.1080/15376494.2020.1787565, pp.1-11, 2020

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)

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