Closed form solution for a nonlocal strain gradient rod in tension

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Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams (2019, background): “Nonlocal (strain-driven) stress fields in bounded structural domains are indeed not included in the affine manifold of equilibrated stresses fields, as recognized in literature [2, 13, 15, 16, 19, 33–35, 37–39] on the basis of the original contribution in [28].”
A review on the mechanics of nanostructures (2018, methodology): “However, more recently, the NSGT has been employed for describing the longitudinal vibration [103] and tension [104] of nanorods; the modified rod model was successfully calibrated employing MD results.”