Closed-Form Solutions for Nanobeams Based On the Nonlocal Euler-Bernoulli Theory

Starting from nonlocal continuum mechanics, a
thermodynamically new nonlocal model of Euler-Bernoulli
nanobeams is provided. The nonlocal variational formulation is
consistently provided and the governing differential equation for
transverse displacement is presented. Higher-order boundary
conditions are then consistently derived. An example is contributed in
order to show the effectiveness of the proposed model.

• Francesco Marotti de Sciarra
• Raffaele Barretta

• Bernoulli-Euler beams
• Nanobeams
• nonlocal elasticity.

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