Analytical Modeling of Cracked Thin-Walled Beams Under Torsion

摘要

We present an analyticalmodel, derived using the principle of virtualwork, for closed and open thin-walled beamsnsubjected to torsion. Nonclassical effects like primary and secondary torsional warping are taken into account. Anclosed-formexpression formode II stress-intensity factor for thin-walled beams with a longitudinal crack is derived.nWe start by finding analytical solutions based on Vlasov’s torsional beam theory for thin-walled beams with anyncross sections. We then use the calculated stress of a rectangular thin-walled beam to determine an analyticalnexpression formode II stress-intensity factor. Finally, we add a correction factor to account for complex behavior ofnlong cracks. Examples are presented to illustrate the effectiveness of the current model, and it is validated byncomparison with detailed finite element results obtained using ABAQUS.