Shear and bending response of a rigid-plastic beam subjected to impulsive loading

Dynamic plastic behaviour of annular plates with transverse shear effects

“…At r ¼ Z 0 a stationary hinge circle is located. Thus qðZ 0 ; tÞ ¼ 0, m 1 ðZ 0 ; tÞ ¼ 1 and according to (33) and (34) one has…”

“…In earlier works by Lellep and Torn [32,33] rigid-plastic beams and circular cylindrical shells with nonsymmetric end conditions have been studied accounting for shear forces in the yield condition. In the present study this concept is extended to circular plates with cutouts having free interior and clamped exterior edge, respectively.…”

Structural Response to High Impulsive Loads: Dynamic Effects and Analysis Approaches

“…Extensive studies in the literature on the general subject of impact and blast effects may also be broadly classified along the line of the above mentioned three response categories, namely i) dynamic response of materials, in particular concrete, and fracture and fragmentation [e.g., Brace and Jones, 1973;Li and Meng, 2003;Lu and Xu, 2004;Lu and Tu, 2008]; ii) effect of blast load on structural members, typically RC columns and slabs [e.g., Krauthammer et al, 1993;Lellep and Torn, 2005;Gong and Lu, 2007;Ma et al 2007], and iii) progressive collapse of a large portion or the entire structural system. This paper will examine the dynamic processes involved in the three response phases and the associated characteristics in the different dynamic regimes, especially concerning concrete structures.…”

Dynamic elastic–plastic and large deflection analyses of frame structures using motion analysis of structures

“…For decades, many researchers have been devoted to treating these problems via analytical, experimental, and numerical approaches. The analytical or semi-analytical approaches can be conducted simply with rigid plasticity [1] or further including geometrical nonlinearities [2][3][4][5]. Wen et al [2] proposed a quasistatic procedure for estimating the dynamic plastic response and failure of clamped metal beam subjected to low velocity impact.…”

“…Yankelevsky and Karinski [4] presented an approximate model to analyze the dynamic elastic-plastic large deformation response of beams under various symmetrical loading. Lellp and Torn [5] developed a method for investigation of rigid-plastic beams subjected to impulsive loading. Theoretical solutions were derived for beams made of a perfectly plastic material obeying the square yield condition.…”