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Research Papers

A Simplified Indirect Measuring Method for the Notch Stress in a Thin Cylindrical Shell

[+] Author and Article Information
Bo Wang

State Key Laboratory of Structural Analysis
for Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116024, China

Yunfeng Shi

State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116024, China

Rui Li

State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116024, China
e-mail: ruili@dlut.edu.cn

Bin Wang

Beijing Institute of Astronautical Systems
Engineering,
Beijing 100076, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 5, 2018; final manuscript received April 5, 2018; published online May 10, 2018. Assoc. Editor: Junlan Wang.

J. Appl. Mech 85(7), 071009 (May 10, 2018) (10 pages) Paper No: JAM-18-1010; doi: 10.1115/1.4039950 History: Received January 05, 2018; Revised April 05, 2018

In this paper, a new simplified indirect measuring method (SIMM) is proposed for the notch stress of a circumferentially notched thin cylindrical shell by measuring the stresses away from the notch with the conventional strain gauges. The explicit relationships between the measurable stresses and notch-root stress in both the elastic and plastic stages are derived. A refined finite element modeling indicates that the developed measuring method for notch stress is feasible, and the measuring accuracy is satisfactory. A series of quasi-static tensile experiments were conducted, with both the strain gauges and advanced optical measuring method applied. Good agreement with the optical measuring results further confirms the validity and accuracy of the present method. Our method has the advantages of low cost, easy implementation, and independence of the environmental disturbance such that it has potential for wide applicability in both laboratory and in situ notch stress measurements, which is of great significance for the design of some important aerospace structures such as pyrotechnic separation devices.

Copyright © 2018 by ASME
Topics: Stress , Pipes
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References

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Figures

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Fig. 1

Cross section of a circumferentially notched thin cylindrical shell for a pyrotechnic separation device

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Fig. 2

Axial stress distribution along the axial direction on the inner and outer surfaces of a circumferentially notched shell

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Fig. 3

Measurable axial stress distribution in the cross section of a circumferentially notched shell

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Fig. 4

Bilinear constitutive relation

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Fig. 5

Multi-axial stress state at the notch root

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Fig. 6

Cross section of a circumferentially notched shell for numerical validation

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Fig. 7

Comparison between the predicted notch-root stresses and FEA results

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Fig. 8

Notched specimens with the strain gauges and optical speckles

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Fig. 9

Tensile experimental system for the notched specimens

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Fig. 10

Full-field strain contour of the notch surface of the specimen with a = 7 mm and ρ = 5 mm

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Fig. 11

Experimental results of the specimen with a = 7 mm and ρ = 5 mm by (a) VIC-3D and (b) SIMM

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Fig. 12

Experimental results of the specimen with a = 10 mm and ρ = 5 mm by (a) VIC-3D and (b) SIMM

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Fig. 13

Experimental results of the specimen with a = 7 mm and ρ = 1 mm by (a) VIC-3D and (b) SIMM

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Fig. 14

Experimental results of the specimen with a = 10 mm and ρ = 1 mm by (a) VIC-3D and (b) SIMM

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Fig. 15

Full-field strain contour at the notch roots with (a) a = 7 mm and ρ = 5 mm, (b) a = 10 mm and ρ = 5 mm, (c) a = 7 mm and ρ = 1 mm, and (d) a = 10 mm and ρ = 1 mm

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Fig. 16

Comparison of the axial stresses between the SIMM and optical measurement for the notch roots with (a) a = 7 mm and ρ = 5 mm, (b) a = 10 mm and ρ = 5 mm, (c) a = 7 mm and ρ = 1 mm, and (d) a = 10 mm and ρ = 1 mm

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