Dynamic contact of a spherical indenter and a prestressed orthotropic Uflyand–Mindlin plate

被引：0
作者：
A. A. Loktev
机构：
[1] Moscow State University of Civil Engineering,Department of Theoretical Mechanics
来源：
Acta Mechanica | 2011年 / 222卷
关键词：
Contact Force; Dynamic Contact; Longitudinal Force; Orthotropic Plate; Mindlin Plate;
D O I：
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学科分类号：
摘要：
In this paper, the dynamic contact of a spherical indenter and an orthotropic plate is investigated. The plate possesses curvilinear anisotropy and is subject to a prestressing longitudinal force together with two moments. The dynamic behavior of the target is described by wave equations that take into account the transverse shear and rotary inertia of the cross sections and allow for modeling the process of propagation of elastic waves after the impact. The asymptotic method of the series expansion of unknown quantities in terms of a Legendre polynomial and Laurent series nearby the desirable point is used as a method of solution. In this work, the dynamic characteristics of the interaction are determined, and the influence of the preloaded target on these dynamic characteristics is investigated. The results of the analysis are represented in form of analytical expressions and graphical dependencies. The influence of the prestressed plate on the dynamic buckling and the contact force at the interaction point is studied.
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[1]  
Filippov A.P.(1971)Transverse elastic impact of a heavy body upon the round plate Mekh. Tverd. Tela. 6 102-109
[2]  
Malekzadeh K.(2007)Response of composite sandwich panels with transversely flexible core to low-velocity transverse impact: a new dynamic model Int. J. Impact Eng. 34 522-543
[3]  
Khalili M.R.(1994)A ray method of solving problems connected with a shock interaction Acta Mech. 102 103-121
[4]  
Mittal R.K.(2005)Elastic transverse impact upon round orthotropic plate Pisma Zh. Tekh. Fiz. 31 4-9
[5]  
Rossikhin Yu.A.(2006)Delamination threshold load for dynamic impact on plates Int. J. Solids Struct. 43 3124-3141
[6]  
Shitikova M.V.(2008)Dynamic contact of an indenter and an elastic orthotropic plate at the presence of propagating thermoelastic waves Prikl. Mat. Mekh. 72 652-658
[7]  
Loktev A.A.(2006)Dynamic stability of a circular pre-stressed elastic orthotropic plate subjected to shock excitation Shock Vib. 13 197-214
[8]  
Olsson R.(2009)Oscillations and stability of a prestressed plane lying on an elastic substrate Prikl. Mat. Mekh. 73 106-120
[9]  
Donadon M.V.(2004)Low-velocity impact analysis of composite laminates using linearized contact law Compos. Struct. 66 125-132
[10]  
Falzon B.G.(2004)The response of composite structures with pre-stress subject to low velocity impact damage Compos. Struct. 66 685-698
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