Impact Loading Of Inelastic Elliptical Plates
Author(s)
J. Lellep & A. Mürk
Abstract
Inelastic response of elliptical plates to impact and initial impulsive loading is
studied. For determination of the deflected shape of plates the concept of mode
form motions amalgamated with the conical velocity field in used. Theoretical
predictions of residual deflections are developed for plates of piece wise constant
thickness. The cases of circular and annular plates subjected to initial impulsive
loading are studied as particular cases of an elliptical plate.
Keywords: impulsive loading, plasticity, plate, elliptical plate, mises condition.
1 Introduction
Thin plates and shells are important elements of structures. In accidental
situations the plates can be subjected to impact and shock loadings. This involves
the need for methods of evaluation of maximal residual deflections caused by
initial impact and impulsive loading.
Exact and approximate theoretical predictions and experimental results
regarding to the behaviour of inelastic structures have been presented by several
authors. Reviews of these studies can be found in the books by Jones [2],
Kaliszky [5], Stronge and Yu [17], also in papers by Kaliszky [4], Jones [3],
Kaliszky and Logo [6], Nurick and Martin [12], Yu and Chen [21]. Shen and
Jones [15], also Wen et al. [20] studied the dynamic plastic response of fully
clamped circular plates in the cases of rate sensitive and rate insensitive
materials. Liu and Stronge [11] considered simply supported circular plates
subjected to dynamic pressure at the central part of the plate. Wang et al. [19]
used the concept of the unified strength theory in the dynamic plastic analysis.
Lellep and Hein [7], Lellep and Mürk [8, 9] studied stepped plates and shallow
shells. In papers [10, 9] the concept of plates with stable cracks located of the reentrant
corners of steps was used for determination of optimal parameters of the
plate.
Keywords
impulsive loading, plasticity, plate, elliptical plate, mises condition
Related Book
Other papers in this volume
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