Closed form solution for a nonlocal elastic bar in tension

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On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity (2007, background): “Non-local theories taking into account effects of long-range interactions in elastic materials and their application to problems of solid and fracture mechanics have been studied for a long time, cf. the pioneering work by Kröner [21], Eringen [17] and the references cited therein, the monographs b”
Long-range cohesive interactions of non-local continuum faced by fractional calculus (2008, background): “For recent advances on the non-local integral theory the readers are referred to several papers (Bav̂zant and Jirásek, 2002; Benvenuti et al., 2002; Fuschi and Pisano, 2003).”
Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory (2017, unknown): “Zhu and Dai (2012), Pisano and Fuschi (2003), and Benvenuti and Simone (2013) solved the problem of a bar subjected to static axial loads.”