Plastic Response of Cantilevers with Stable Cracks

An experimental study of pre-notched clamped beams under impact loading

“…Engineering practice indicates that imperfect or defected sections in a structure will trap a significant part of the work done by dynamic loads and thereby alter the dynamic failure features of the structure. There have been so far only a few experimental works reported in the literature which dealt with notched (imperfect) simple structural members, including notched free-free beams (Woodward and Baxter, 1986), notched cantilevers (Petroski and Verma, 1985), and symmetrically notched circular rings (Zhao et al, 1995). The structures tested in these three sets of experiments possessed weaker constraints at their ends, so that bending moment acted as the sole structural internal force of significance.…”

Prognosis for ballistic sensitivity of pre-notch in metallic beam through mesh-less computation reflecting material damage

“…Moreover this reduction in plastic moment capacity is also influenced by the elastic response, though not in similar scale as that of large in-elastic strain. In Petroski and Verma (1985), the stability of a notch in impulsively loaded cantilever was investigated through a simplistic analysis supported by experiments. It was observed that the presence of pre-notch may cause additional plastic hinge at the notch depending on the depth and the location (near the support or at the impact point or at the mid-way between support and impact zone) of the notch.…”

A generalized model for dynamic deformation and failure of clamped beam under impact loading

“…A few attempts were made to study the effect of imperfection on the response of a beam under dynamic loading. Towards this, the initial effort was made by Petroski and co-researchers [18][19][20][21][22], wherein the imperfection was taken in the form of a pre-existing notch. Petroski [18] studied the effect of a stable notch on the elasto-plastic dynamic response of beam by reducing the plastic moment capacity of the beam at the notch location through a reduction factor depending on the depth of the notch.…”

“…Following the similar strategy, later the stability of the notch located at the root of a tip-loaded cantilever beam was studied and demonstrated through example of a thinwalled pipe with a circumferential crack [20]. A mathematical model to characterize the effect of location of the notch on the dynamic deformation behaviour of a cantilever beam was developed in [19] and subsequently compared with experimental observations in [21]. There were a few more attempts to develop theoretical models for notched beam with different boundary conditions.…”