Abstract
Pipes subjected to bending may fail by cross-sectional flattening due to a plastic hinge mechanism occurring at the mid-section. In this paper the relationship between the applied bending moment and the stresses and strains at the neutral axis is calculated, using a power law stress-strain relationship. As a tentative failure criterion, a critical local bending radius of the pipe wall was selected. It can be expected that failure by the flattening mechanism occurs in the medium range of wall thickness to pipe radius ratio. For smaller ratios buckling on the compressive side—and, for larger ratios, fracture on the tensile side—of the pipe is shown to be the failure mechanism.
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