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Research Papers

First Principles Estimation of Shock Tube Tests on Nanoreinforced Composite Materials

[+] Author and Article Information
Weiping Xu, Elizabeth K. Ervin

Lecturer, Civil Engineering  Southwest Jiaotong University, Room 402, Building C, 144 Jiaoda Road Southwest Jiaotong Science Park, Jinniu District Chengdu City, Sichuan Province, China 610031 e-mail: weipingxu2010@gmail.comAssistant Professor, Civil Engineering 203 Carrier Hall, P.O. Box 1848,  University of Mississippi, University, MS 38677-1848 e-mail: eke@olemiss.edu

J. Appl. Mech 78(6), 061015 (Aug 25, 2011) (7 pages) doi:10.1115/1.4004536 History: Received February 08, 2010; Revised July 06, 2011; Posted July 07, 2011; Published August 25, 2011; Online August 25, 2011

Extreme loads events can cause enormous human and infrastructure losses. Computer modeling is the key to reducing the high cost of dynamic monitoring and experimentation. Engineers in various fields have undertaken complicated modeling for structures under abnormal loads. However, an efficient and accurate model is necessary to more rapidly address dangerous shock problems. Composite materials have replaced metals in various applications thanks to their superior shock resistance properties. This investigation particularly relates to their usage on naval ships to achieve improved blast survivability with the additional benefit of lower cost. A relatively simple model is detailed for the approximate centerline response prediction of the specific complex case of composite materials tested in a shock tube. A modal analysis simulation of a beam is performed using gross properties as well as physical geometry and arbitrary shock. Closed form equations have been employed to derive the eigenproblem that generates mode shapes and natural frequencies, and the resulting responses are compared to experimental shock tube test results. The best outcome was generated by the simplest model consisting of a shock pressure pulse averaged in two divisions and applied over the entire beam span. For this case, the simulation and experimental responses had reasonable correlation for fractured E-glass/vinyl-ester composite specimens with both nanoclay and graphite platelet reinforcement. This model is also a conservative estimate for the transient test deflection range for all other specimens.

Copyright © 2011 by American Association of Physics Teachers
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Figures

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Figure 1

A still photograph of a loaded test specimen

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Figure 2

First principles beam model

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Figure 3

Distributed load model of case 1

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Figure 4

(a) Applied pressure P(t) and (b) excitation force for VC00AS01 case 1

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Figure 5

Convergence study for VC00AS01 case 1

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Figure 6

Configuration of (a) experimental specimen and (b) simulated model

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Figure 7

Equivalent force values for case 2

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Figure 8

Excitation pressure for VC00AS01 case 3

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Figure 9

Beam model for case 4

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Figure 10

Comparison of the midspan deflection of the six cases for VC00AS01

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Figure 11

Midspan deflection for VC00AS01

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Figure 12

Midspan deflection for VC00AS01t2

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Figure 13

Midspan deflection for VC12BS01

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Figure 14

Midspan deflection for VC12BS02

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Figure 15

Midspan deflection for VC25BS01

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Figure 16

Midspan deflection for VC25BS02

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Figure 17

Midspan deflection for VG12BS01

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Figure 18

Midspan deflection for VG12BS02

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Figure 19

Midspan deflection for VG25BS01

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Figure 20

Midspan deflection for VG25BS02

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Figure 21

Midspan displacement of case 1 VC00AS01 with changing elastic modulus

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