Abstract
The momentum transfer by a planar wave impinging upon a rigid, free-standing plate in water, a largely incompressible medium, is well understood [1]. Kambouchev et al. [2] extended the results of Taylor [1] to include the nonlinear effects of compressibility whilst Hutchinson [3] has recently addressed the issues of energy and momentum transfer to a rigid, free-standing plate. In this paper, key conclusions from the aforementioned studies are critically re-examined in the context of a 'fully-clamped' elastic plate. The dynamic response of an elastic plate is represented by an equivalent single-degree-of-freedom (SDOF) system. A numerical method based on a Lagrangian formulation of the Euler equations of compressible flow and conventional shock-capturing techn iques, similar to that employed in [2, 3], were employed to solve numerically the interaction between the air blast wave and elastic plate. Particular emphasis is placed on elucidating the energy and momentum transfer to a 'fully-clamped' elastic plate compared to its rigid, free-standing counterpart, and on whether enhancement in the beneficial effects of FSI as a result of fluid compressibility remains and to what extent.
Highlights
Over the past decade, there have been renewed interests in understanding how fluid structure interaction (FSI) in a compressible medium may be exploited to design lightweight sandwich panels with better blast amelioration capabilities
Kambouchev et al [2] and Hutchinson [3] have carried out detailed numerical studies to quantify the e↵ects of nonlinear compressibility upon the energy and momentum transfer to plates subjected to air blast loading
The emphasis is on comparing the energy and momentum transfer to a ‘fully-clamped’ elastic plate with its rigid, free-standing
Summary
There have been renewed interests in understanding how fluid structure interaction (FSI) in a compressible medium may be exploited to design lightweight sandwich panels with better blast amelioration capabilities To this end, Kambouchev et al [2] and Hutchinson [3] have carried out detailed numerical studies to quantify the e↵ects of nonlinear compressibility upon the energy and momentum transfer to plates subjected to air blast loading. Kambouchev et al [2] and Hutchinson [3] have carried out detailed numerical studies to quantify the e↵ects of nonlinear compressibility upon the energy and momentum transfer to plates subjected to air blast loading Their findings apply only to rigid, free-standing plates. The results reported here is part of an on-going study to model the influence of boundary conditions upon the momentum and energy transfer to deformable (elasto-plastic) plates through FSI to be published elsewhere
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