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A Griffith–Euler–Bernoulli theory for thin brittle beams derived from nonlinear models in variational fracture mechanics
We study a planar thin brittle beam subject to elastic deformations and cracks described in terms of a nonlinear Griffith energy functional acting on [Formula: see text] deformations of the beam. In particular, we consider the case in which elastic bulk contributions due to finite bending of the beam are …