Please wait a minute...
Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2020, Vol. 14 Issue (6) : 1349-1358    https://doi.org/10.1007/s11709-020-0650-3
RESEARCH ARTICLE
Theoretical study of failure in composite pressure vessels subjected to low-velocity impact and internal pressure
Roham RAFIEE(), Hossein RASHEDI, Shiva REZAEE
Composites Research Laboratory, Faculty of New Science & Technologies, University of Tehran, Tehran 1439957131, Iran
 Download: PDF(469 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

A theoretical solution is aimed to be developed in this research for predicting the failure in internally pressurized composite pressure vessels exposed to low-velocity impact. Both in-plane and out-of-plane failure modes are taken into account simultaneously and thus all components of the stress and strain fields are derived. For this purpose, layer-wise theory is employed in a composite cylinder under internal pressure and low-velocity impact. Obtained stress/strain components are fed into appropriate failure criteria for investigating the occurrence of failure. In case of experiencing any in-plane failure mode, the evolution of damage is modeled using progressive damage modeling in the context of continuum damage mechanics. Namely, mechanical properties of failed ply are degraded and stress analysis is performed on the updated status of the model. In the event of delamination occurrence, the solution is terminated. The obtained results are validated with available experimental observations in open literature. It is observed that the sequence of in-plane failure and delamination varies by increasing the impact energy.

Keywords composite pressure vessel      low-velocity impact      failure      theoretical solution      progressive damage modeling     
Corresponding Author(s): Roham RAFIEE   
Just Accepted Date: 05 November 2020   Online First Date: 10 December 2020    Issue Date: 12 January 2021
 Cite this article:   
Roham RAFIEE,Hossein RASHEDI,Shiva REZAEE. Theoretical study of failure in composite pressure vessels subjected to low-velocity impact and internal pressure[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1349-1358.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-020-0650-3
https://academic.hep.com.cn/fsce/EN/Y2020/V14/I6/1349
Fig.1  Geometrical specifications of impact loading and applied internal pressure [34]. Republished with the permission of American Society of Mechanical Engineers ASME, from Journal of Engineering Materials and Technology, Dynamic response of curved laminated plates subjected to low velocity impact, Ramkumar R L, Thakar Y R, 109(1): 67–71, 1987; permission conveyed through Copyright Clearance Center, Inc.
Fig.2  Description of displacement and linear function of ΦI in LWT [32]. From: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, Reddy J N, Copyright © 2004 and Imprint. Reproduced by permission of Taylor & Francis Group.
impact loading (J) internal pressure (bar) maximum deflection (mm)
LWT experimental observation [39] difference
270 400 13.1 12.4 5.6%
110 0 ?5.8 ?5.3 9.4%
Tab.1  Comparison of results with experimental data
Fig.3  (a) Contact force and (b) through-thickness deflection during the impact loading.
Fig.4  Variations of (a) radial, (b) normal, and (c) shear strain components during impact.
Fig.5  Flowchart of progressive damage modeling for evaluating failure in a composite pressure vessel subjected to both internal pressure and low-velocity impact loadings.
impact energy fiber failure matrix failure in-plane shear failure delamination
110 J no 2nd, 3rd, and 4th layers 1st, 2nd, 3rd, and 4th layers no
150 J 1st, 2nd, and 3rd layers 2nd, 3rd, 4th, 5th, and 6th layer 1st, 2nd, 3rd, 4th, and 5th layers yes
270 J all layers all layers all layers
Tab.2  Experienced failure modes in layers due to applied impact and internal pressure loadings
1 J C Velosa, J P Nunes, P J Antunes, J F Silva, A M Marques. Development of a new generation of filament wound composite pressure cylinders. Composites Science and Technology, 2009, 69(9): 1348–1353
https://doi.org/10.1016/j.compscitech.2008.09.018
2 ISO 11439:2000. International Standard, Gas Cylinders-High Pressure Cylinders for the on-Board Storage of Natural Gas as a Fuel for Automotive Vehicles. International Organization for Standardization,2000
3 EN 14427. Transportable Refillable Fully Wrapped Composite Cylinders for Liquefied Petroleum Gases (LPG). Des Construction, 2004
4 K L Alderson, K E Evans. Failure mechanisms during the transverse loading of filament-wound pipes under static and low velocity impact conditions. Composites, 1992, 23(3): 167–173
https://doi.org/10.1016/0010-4361(92)90437-Y
5 P B Gning, M Tarfaoui, F Collombet, L Riou, P Davies. Damage development in thick composite tubes under impact loading and influence on implosion pressure: Experimental observations. Composites. Part B, Engineering, 2005, 36(4): 306–318
https://doi.org/10.1016/j.compositesb.2004.11.004
6 M E Deniz, R Karakuzu, M Sari, B M Icten. On the residual compressive strength of the glass-epoxy tubes subjected to transverse impact loading. Journal of Composite Materials, 2012, 46(6): 737–745
https://doi.org/10.1177/0021998311410483
7 K S Krishnamurthy, P Mahajan, R K Mittal. A parametric study of the impact response and damage of laminated cylindrical composite shells. Composites Science and Technology, 2001, 61(12): 1655–1669
https://doi.org/10.1016/S0266-3538(01)00015-X
8 C Zhang, M Ren, W Zhao, H Chen. Delamination prediction of composite filament wound vessel with metal liner under low velocity impact. Composite Structures, 2006, 75(1–4): 387–392
https://doi.org/10.1016/j.compstruct.2006.04.012
9 I Demir, O Sayman, A Dogan, V Arikan, Y Arman. The effects of repeated transverse impact load on the burst pressure of composite pressure vessel. Composites. Part B, Engineering, 2015, 68: 121–125
https://doi.org/10.1016/j.compositesb.2014.08.038
10 M G Han, S H Chang. Evaluation of structural integrity of type-III hydrogen pressure vessel under low-velocity car-to-car collision using finite element analysis. Composite Structures, 2016, 148: 198–206
https://doi.org/10.1016/j.compstruct.2016.03.060
11 L Gemi. Investigation of the effect of stacking sequence on low velocity impact response and damage formation in hybrid composite pipes under internal pressure. A comparative study. Composites. Part B, Engineering, 2018, 153: 217–232
https://doi.org/10.1016/j.compositesb.2018.07.056
12 Q Wu, X Chen, Z Fan, Y Jiang, X Zhang, D Nie. Damage behavior of filament-wound composite cylinder under impact by flat-ended impactor. In: ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018
13 S Abrate, J F Ferrero, P Navarro. Cohesive zone models and impact damage predictions for composite structures. Meccanica, 2015, 50(10): 2587–2620
https://doi.org/10.1007/s11012-015-0221-1
14 F Najafi, M H Shojaeefard, H Saeidi Googarchin. Low-velocity impact response of functionally graded doubly curved panels with winkler-pasternak elastic foundation: An analytical approach. Composite Structures, 2017, 162: 351–364
https://doi.org/10.1016/j.compstruct.2016.11.094
15 S M R Khalili, A Ardali. Low-velocity impact response of doubly curved symmetric cross-ply laminated panel with embedded SMA wires. Composite Structures, 2013, 105: 216–226
https://doi.org/10.1016/j.compstruct.2013.04.041
16 B Arachchige, H Ghasemnejad, A T Augousti. Theoretical approach to predict transverse impact response of variable-stiffness curved composite plates. Composites. Part B, Engineering, 2016, 89: 34–43
https://doi.org/10.1016/j.compositesb.2015.11.036
17 T K Hwang, C S Hong, C G Kim. Probabilistic deformation and strength prediction for a filament wound pressure vessel. Composites B. Engineering (London), 2003, 34(5): 481–497
18 T K Hwang, C S Hong, C G Kim. Size effect on the fiber strength of composite pressure vessels. Composite Structures, 2003, 59(4): 489–498
https://doi.org/10.1016/S0263-8223(02)00250-7
19 X K Sun, S Y Du, G D Wang. Bursting problem of filament wound composite pressure vessels. International Journal of Pressure Vessels and Piping, 1999, 76(1): 55–59
https://doi.org/10.1016/S0308-0161(98)00096-9
20 A Onder, O Sayman, T Dogan, N Tarakcioglu. Burst failure load of composite pressure vessels. Composite Structures, 2009, 89(1): 159–166
https://doi.org/10.1016/j.compstruct.2008.06.021
21 P F Liu, J Y Zheng. Progressive failure analysis of carbon fiber/epoxy composite laminates using continuum damage mechanics. Materials Science and Engineering A, 2008, 485(1–2): 711–717
https://doi.org/10.1016/j.msea.2008.02.023
22 P Xu, J Y Zheng, P F Liu. Finite element analysis of burst pressure of composite hydrogen storage vessels. Materials & Design, 2009, 30(7): 2295–2301
https://doi.org/10.1016/j.matdes.2009.03.006
23 L Wang, C Zheng, H Luo, S Wei, Z Wei. Continuum damage modeling and progressive failure analysis of carbon fiber/epoxy composite pressure vessel. Composite Structures, 2015, 134: 475–482
https://doi.org/10.1016/j.compstruct.2015.08.107
24 D Leh, P Saffré, P Francescato, R Arrieux, S Villalonga. A progressive failure analysis of a 700-bar type IV hydrogen composite pressure vessel. International Journal of Hydrogen Energy, 2015, 40(38): 13206–13214
https://doi.org/10.1016/j.ijhydene.2015.05.061
25 J P Berro Ramirez, D Halm, J C Grandidier, S Villalonga. A fixed directions damage model for composite materials dedicated to hyperbaric type IV hydrogen storage vessel—Part I. International Journal of Hydrogen Energy, 2015, 40(38): 13165–13173
https://doi.org/10.1016/j.ijhydene.2014.08.071
26 J P Berro Ramirez, D Halm, J C Grandidier, S Villalonga. A fixed directions damage model for composite materials dedicated to hyperbaric type IV hydrogen storage vessel—Part II. International Journal of Hydrogen Energy, 2015, 40(38): 13174–13182
https://doi.org/10.1016/j.ijhydene.2015.06.014
27 J P Berro Ramirez, D Halm, J C Grandidier, S Villalonga, F Nony. 700 bar type IV high pressure hydrogen storage vessel burst— Simulation and experimental validation. International Journal of Hydrogen Energy, 2015, 40(38): 13183–13192
https://doi.org/10.1016/j.ijhydene.2015.05.126
28 B Gentilleau, S Villalonga, F Nony, H Galiano. A probabilistic damage behavior law for composite material dedicated to composite pressure vessel. International Journal of Hydrogen Energy, 2015, 40(38): 13160–13164
https://doi.org/10.1016/j.ijhydene.2015.04.043
29 B Gentilleau, F Touchard, J C Grandidier. Numerical study of influence of temperature and matrix cracking on type IV hydrogen high pressure storage vessel behavior. Composite Structures, 2014, 111: 98–110
https://doi.org/10.1016/j.compstruct.2013.12.034
30 R Rafiee, M A Torabi. Stochastic prediction of burst pressure in composite pressure vessels. Composite Structures, 2018, 185: 573–583
https://doi.org/10.1016/j.compstruct.2017.11.068
31 R Rafiee, M A Torabi, S Maleki. Investigating structural failure of a filament-wound composite tube subjected to internal pressure: Experimental and theoretical evaluation. Polymer Testing, 2018, 67: 322–330
https://doi.org/10.1016/j.polymertesting.2018.03.020
32 J N Reddy. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. New York: CRC press, 2004
33 R Rafiee, A Ghorbanhosseini, Sh Rezaee. Theoretical and numerical analyses of composite cylinders subjected to the low velocity impact. Composite Structures, 2019, 226: 111230
https://doi.org/10.1016/j.compstruct.2019.111230
34 R L Ramkumar, Y R Thakar. Dynamic response of curved laminated plates subjected to low velocity impact. Journal of Engineering Materials and Technology, 1987, 109(1): 67–71
https://doi.org/10.1115/1.3225936
35 S W Gong, V P W Shim, S L Toh. Impact response of laminated shells with orthogonal curvatures. Composites Engineering, 1995, 5(3): 257–275
https://doi.org/10.1016/0961-9526(94)00096-R
36 S W Tsai, H T Hahn. Introduction to composite materials. Lancaster: Technomic Pub, 1980
37 K Hashiguchi, Y Yamakawa. Introduction to finite strain theory for continuum elasto-plasticity. New Delhi: John Wiley & Sons, 2012
38 O Civalek, M Ulker. HDQ-FD integrated methodology for nonlinear static and dynamic response of doubly curved shallow shells. Structural Engineering and Mechanics, 2005, 19(5): 535–550
https://doi.org/10.12989/sem.2005.19.5.535
39 C W Bert, M Malik. Differntial quadrature method in computational mechanics: A review. Applied Mechanics Reviews, 1996, 49(1): 1–28
https://doi.org/10.1115/1.3101882
40 S A Matemilola, W J Stronge. Low-speed impact damage in filament-wound CFRP composite pressure vessels. Journal of Pressure Vessel Technology, 1997, 119(4): 435–443
https://doi.org/10.1115/1.2842327
41 X Cheng, Z li. Damage progressive model of compression of composite laminates after low velocity impact. Applied Mathematics and Mechanics, 2005, 26(5): 618–626
https://doi.org/10.1007/BF02466336
42 J C Brewer, P A Lagace. Quadratic stress criterion for initiation of delamination. Journal of Composite Materials, 1988, 22(12): 1141–1155
https://doi.org/10.1177/002199838802201205
43 M V Donadon, L Iannucci, B G Falzon, J M Hodgkinson, S F M de Almeida. A progressive failure model for composite laminates subjected to low velocity impact damage. Computers & Structures, 2008, 86(11–12): 1232–1252
https://doi.org/10.1016/j.compstruc.2007.11.004
44 P F Liu, B B Liao, L Y Jia, X Q Peng. Finite element analysis of dynamic progressive failure for carbon fiber composite laminates under low velocity impact. Composite Structures, 2016, 149: 408–422
https://doi.org/10.1016/j.compstruct.2016.04.012
45 J. Pederson Finite element analysis of carbon fiber composite ripping using ABAQUS. Thesis for the Master’s Degree. Clemson, SC: Clemson University, 2008
46 T Rabczuk, G Zi, St Bordas, H Nguyen-Xuan. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455
https://doi.org/10.1016/j.cma.2010.03.031
47 T Rabczuk, T Belytschko. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
https://doi.org/10.1002/nme.1151
48 T Rabczuk, T Belytschko. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799
https://doi.org/10.1016/j.cma.2006.06.020
49 T Rabczuk, R Gracie, J H Song, T Belytschko. Immersed particle method for fluid-structure interaction. International Journal for Numerical Methods in Engineering, 2010, 81(1): 48–71
https://doi.org/10.1002/nme.2670
50 T Rabczuk, P M A Areias, T Belytschko. A meshfree thin shell method for non-linear dynamic fracture. International Journal for Numerical Methods in Engineering, 2007, 72(5): 524–548
https://doi.org/10.1002/nme.2013
[1] FSC-20650-OF-RR_suppl_1 Download
[1] El Houcine MOURID, Said MAMOURI, Adnan IBRAHIMBEGOVIC. Progressive collapse of 2D reinforced concrete structures under sudden column removal[J]. Front. Struct. Civ. Eng., 2020, 14(6): 1387-1402.
[2] Norly BELANDRIA, Roberto ÚCAR, Francisco M. LEÓN, Ferri HASSANI. Stability analysis of slopes with planar failure using variational calculus and numerical methods[J]. Front. Struct. Civ. Eng., 2020, 14(5): 1262-1273.
[3] Mohammad Abubakar NAVEED, Zulfiqar ALI, Abdul QADIR, Umar Naveed LATIF, Saad HAMID, Umar SARWAR. Geotechnical forensic investigation of a slope failure on silty clay soil—A case study[J]. Front. Struct. Civ. Eng., 2020, 14(2): 501-517.
[4] Baoyun ZHAO, Yang LIU, Dongyan LIU, Wei HUANG, Xiaoping WANG, Guibao YU, Shu LIU. Research on the influence of contact surface constraint on mechanical properties of rock-concrete composite specimens under compressive loads[J]. Front. Struct. Civ. Eng., 2020, 14(2): 322-330.
[5] Serdar KOLTUK, Jie SONG, Recep IYISAN, Rafig AZZAM. Seepage failure by heave in sheeted excavation pits constructed in stratified cohesionless soils[J]. Front. Struct. Civ. Eng., 2019, 13(6): 1415-1431.
[6] Mohammad Reza AZADI KAKAVAND, Reza ALLAHVIRDIZADEH. Enhanced empirical models for predicting the drift capacity of less ductile RC columns with flexural, shear, or axial failure modes[J]. Front. Struct. Civ. Eng., 2019, 13(5): 1251-1270.
[7] Karim BENYAHI, Youcef BOUAFIA, Salma BARBOURA, Mohand Said KACHI. Nonlinear analysis and reliability of metallic truss structures[J]. Front. Struct. Civ. Eng., 2018, 12(4): 577-593.
[8] Gudimella RAMAKRISHNA, Sriraman PRIYADHARSHINI. Effect of embedment length of untreated natural fibres on the bond behaviour in cement mortar[J]. Front. Struct. Civ. Eng., 2018, 12(4): 454-460.
[9] Bo GU,Xudong QIAN,Aziz AHMED. A toughness based deformation limit for X- and K-joints under brace axial tension[J]. Front. Struct. Civ. Eng., 2016, 10(3): 345-362.
[10] Witarto WITARTO,Liang LU,Rachel Howser ROBERTS,Y. L. MO,Xilin LU. Shear-critical reinforced concrete columns under various loading rates[J]. Front. Struct. Civ. Eng., 2014, 8(4): 362-372.
[11] Lei YANG, Yujing JIANG, Bo LI, Shucai LI, Yang GAO. Application of the expanded distinct element method for the study of crack growth in rock-like materials under uniaxial compression[J]. Front Struc Civil Eng, 2012, 6(2): 121-131.
[12] Maria Luísa Braga FARINHA, José Vieira de LEMOS, Emanuel MARANHA DAS NEVES. Analysis of foundation sliding of an arch dam considering the hydromechanical behavior[J]. Front Struc Civil Eng, 2012, 6(1): 35-43.
[13] Hehua ZHU, Qianwei XU, Wenqi DING, Feng HUANG. Experimental study on the progressive failure and its anchoring effect of weak-broken rock vertical slope[J]. Front Arch Civil Eng Chin, 2011, 5(2): 208-224.
[14] Xudong FU, Fan LIU, Guangqian WANG, Wenjie XU, Jianxin ZHANG. Necessity of integrated methodology for hazard mitigation of quake lakes: case study of the Wenchuan Earthquake, China[J]. Front Arch Civil Eng Chin, 2011, 5(1): 1-10.
[15] Gang SHI, Yongjiu SHI, Yuanqing WANG, Yongzhi ZUO, Xiaohao SHI, Zaoyang GUO, . Influence of damages on static behavior of single-layer cable net supported glass curtain wall: full-scale model test[J]. Front. Struct. Civ. Eng., 2010, 4(3): 383-395.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed