Radial gaps were found in multilayered cylindrical vessels which experience inner explosion accidents in chemical plants in the past few years worldwide. It is necessary to investigate the dynamic response of multilayered structures with radial gaps to ensure the vessel safety. This paper presented a numerical modeling of the dynamic response of a multilayered structure with radial gaps of cylindrical pressure vessel under plane strain conditions by using the ANSYS/ls-dyna package. The effects of the dynamic loading profile and the radial gap height are considered in the investigation. The stress spatial distribution, the stress and the plastic deformation variation curves with time are emphatically analyzed. The results show that the stress variation of the entire loading process can be divided into four stages: the oscillation stage, the yield stage, the fast increase stage, and the redistribution stage. The layer stress distributes discontinuously at the gaps between layers and distributes unevenly in any single layer. The inner layer stress is not always larger than the outer layers' during the whole loading process. The effect of loading profile on the dynamic response is not as obvious as the gap height. As the gap height increases, the stress oscillation stage is suppressed and becomes shorter. While the loading recovers to the operation pressure, the stress and the plastic deformation of inner layers increases and vice versa for the outer layers.

References

References
1.
Chen
,
X. G.
,
1986
, “
Dissection Test of Slag Inclusions Between Layers After Welding in a Multilayered Vessel
,” Petro-Chem. Equip.,
15
(3), pp. 17–18 (in Chinese).
2.
Chen
,
G. L.
, and
Wang
,
Y.
,
1986
, “
Experimental Research of the Elimination of Gaps by Using the Inner Pressure in Multilayered Vessel
,” Pressure Vessel Technol.,
3
(
2
), pp.
9
11
.
3.
Pimshtein
,
P. G.
,
1968
, “
Strength of Multilayer High Pressure Vessel
,”
Chem. Petrol. Eng.
,
4
(
7
), pp.
574
578
.
4.
Xu
,
S. G.
,
Wang
,
W. Q.
,
Song
,
M. D.
,
Li
,
M. L.
, and
Tang
,
J.
,
2010
, “
Modified Formulation of Layer Stress Due to Internal Pressure of a Layered Vessel With Interlayer Gaps
,”
ASME J. Pressure Vessel Technol.
,
132
(
5
), p.
051201
.
5.
Xu
,
S. G.
, and
Wang
,
W. Q.
,
2012
, “
Analysis on Elastoplastic Stress Distribution in a Layered Cylindrical Vessel With Interlayer Gaps
,”
ASME J. Pressure Vessel Technol.
,
134
(3), p.
031206
.
6.
Song
,
M. D.
,
Wang
,
W. Q.
,
Li
,
A. J.
,
Zhao
,
Y. F.
,
Cui
,
Y. L.
, and
Chen
,
X. X.
,
2008
, “
Stress State Analysis of Multilayered Urea Reactors
,”
J. Mech. Strength
,
127
(
1
), pp.
15
23
(in Chinese).
7.
Xu
,
S. G.
,
Wang
,
W. Q.
,
Li
,
M. L.
, and
Song
,
M. D.
,
2008
, “
Relationship Analysis of the Explosion Load Type and the Failure Form of Urea Reactor
,”
J. Shandong Univ.
,
38
(
3
), pp.
51
56
(in Chinese).
8.
Wang
,
W. Q.
,
Li
,
A. J.
,
Zhu
,
Y. Y.
,
Yao
,
X. J.
,
Liu
,
Y.
, and
Chen
,
Z. H.
,
2009
, “
The Explosion Reason Analysis of Urea Reactor of Pingyin
,”
Eng. Failure Anal.
,
16
(
3
), pp.
972
986
.
9.
Wang
,
X.
, and
Gong
,
Y.
,
1992
, “
An Elastodynamic Solution for Multilayered Cylinders
,”
Int. J. Eng. Sci.
,
30
(
1
), pp.
25
33
.
10.
Wang
,
X.
,
Xia
,
X. H.
, and
Hao
,
W. H.
,
2003
, “
An Elastodynamic Solution of Finite Long Orthotropic Hollow Cylinder Under Torsion Impact
,”
J. Sound. Vib.
,
267
(
1
), pp.
67
86
.
11.
Zheng
,
J. Y.
,
Chen
,
Y. J.
,
Deng
,
G. D.
,
Sun
,
G. Y.
,
Hu
,
Y. L.
, and
Li
,
Q. M.
,
2006
, “
Dynamic Elastic Response of an Infinite Discrete Multi-Layered Cylindrical Shell Subject to Uniformly Distributed Pressure Pulse
,”
Int. J. Impact Eng.
,
32
(
11
), pp.
1800
1827
.
12.
Tian
,
J. B.
,
Zhao
,
L. M.
, and
Zheng
,
J. Y.
,
2005
, “
Rigid-Plastic Dynamic Response Analysis of Multi-Walled Pressure Vessels With Flat-Wound Steel Ribbons
,”
Chin. J. Appl. Mech.
,
22
(
3
), pp.
426
430
(in Chinese).
13.
Chen
,
J. Y.
,
Wang
,
C. X.
,
Chen
,
J. S.
,
Zhao
,
B.
, and
Song
,
L. R.
,
1993
, “
The Analysis of Stress of Layered Plate Subjected to Impact and Exploding
,”
J. Harbin Inst. Technol.
,
25
(
5
), pp.
101
105
(in Chinese).
14.
Liu
,
H. D.
,
2013
, “
Study on the Pressure Wave Propagation in a Vessel With Long Vertical Multilayered Cylinder Resulting From the Chemical Explosion in Gas Space and the Dynamic Response of the Vessel Wall
,” Ph.D. thesis, Shandong University, Jinan, China (in Chinese).
15.
ASME,
2013
, “
Rules for Construction of Pressure Vessels, Division 1: Boiler and Pressure Vessel Code Section VIII
,” American Society of Mechanical Engineers, New York, Standard No. ASME BPVC.VIII.1-2013.
16.
Xu
,
S. G.
,
2010
, “
Study on Vapor Explosion of Multicomponent Mixture Content and Mechanical Response of Layered Vessel
,” Ph.D. thesis, Shandong University, Jinan, China (in Chinese).
17.
Zheng
,
J. Y.
,
Chen
,
Y. J.
,
Deng
,
G. D.
,
Sun
,
G. Y.
, and
Hu
,
Y. L.
,
2005
, “
Dynamic Responses of Discrete Multilayered Cylinder Under Intensive Dynamic Loading
,”
J. Zhejiang Univ., Sci., A
,
39
(
12
), pp.
1847
1853
(in Chinese).
18.
Yin
,
X. C.
,
Feng
,
S. Y.
, and
Gong
,
Y. N.
,
1998
, “
Effect of Clearance on Elastic Waves in Two Coaxial Thick-Walled Hollow Cylinders Subjected to an Internal Explosion Loading
,” Expl. Shock Wave,
18
(
4
), pp.
365
374
(in Chinese).
19.
Yin
,
X. C.
,
Feng
,
S. Y.
, and
Gong
,
Y. N.
,
1998
, “
Effect of Clearance on Elastic Waves in Two Coaxial Thick-Walled Hollow Cylinders Subjected to an Internal Explosion Loading
,” Expl. Shock Wave,
18
(
4
), pp.
365
374
(in Chinese).
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