On applications of generalized functions to beam bending problems

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Physically-based Dirac’s delta functions in the static analysis of multi-cracked Euler–Bernoulli and Timoshenko beams (2011, methodology): “Among others, Yavari et al. (2000) used the auxiliary beam method to solve the governing equations for uniform Euler-Bernoulli and Timoshenko beams with various jump discontinuities; Yavari et al. (2001) derived the differential equations in terms of single displacement and rotation functions for…”
Exact solution of the multi-cracked Euler–Bernoulli column (2008, methodology): “…procedures able to treat singularities more efficiently than classical methods have been proposed in the literature to solve both static (Yavari et al., 2000, 2001a,b; Falsone, 2002) and dynamic (Dimarogonas, 1996; Gounaris and Dimarogonas, 1988; Quian et al., 1990; Morassi, 1993;…”