On the regularity of curvature fields in stress-driven nonlocal elastic beams

Abstract Elastostatic problems of Bernoulli–Euler nanobeams, involving internal kinematic constraints and discontinuous and/or concentrated force systems, are investigated by the stress-driven nonlocal elasticity model. The field elastic curvature is output convolution integral with a special averaging kernel piecewise smooth source curvature, pointwise generated bending interaction. total got adding nonelastic curvatures due to thermal electromagnetic effects similar ones. It shown that fields associated bi-exponential kernel, continuously differentiable in whole domain. law then equivalent constitutive differential problem equipped boundary interface conditions expressing continuity its derivative. Effectiveness evidenced solution an exemplar assemblage beams subjected loadings curvatures, nonlocally gradients. Analytical solutions structural their nonlocal-to-local limits evaluated commented upon.