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

通过应力驱动的非局部弹性模型研究了涉及运动内部约束和不连续和/或集中力系统的伯努利–欧拉纳米束的静电静力学问题。弹性曲率场是由卷积积分输出的，该卷积积分具有特殊的平均核和由弯曲相互作用逐点生成的分段平滑的弹性曲率源场。总曲率是通过添加由于热和/或电磁效应以及类似的非弹性曲率而获得的。结果表明，与曲率平滑源场和双指数核相关联的弹性曲率场在整个域中是连续可微的。因此，非局部弹性应力驱动的积分定律等效于本构微分问题，该本构微分问题具有表示弹性曲率及其导数连续性的边界和界面本构条件。界面条件的有效性通过示例梁的解决方案得到证明，该梁示例性地承受了不连续和集中的载荷以及热曲率，这些曲率与不连续的热梯度不局部相关。对结构问题及其非局部到局部极限的解析解进行了评估和评论。与不连续的热梯度非局部相关。对结构问题及其非局部到局部极限的解析解进行了评估和评论。与不连续的热梯度非局部相关。对结构问题及其非局部到局部极限的解析解进行了评估和评论。