The dynamic response of graphite-epoxy delaminated cross-ply composite shallow conical shells subjected to low velocity normal impact is investigated using the finite element method. An eight-noded isoparametric plate bending element is employed in the formulation incorporating rotary inertia and effects of transverse shear deformation based on Mindlin’s theory. In the time integration, Newmark constant average acceleration method in conjunction with an efficient iteration scheme is used. The modified Hertzian contact law which accounts for permanent indentation is utilized to compute the time-dependent equations. Numerical results present the histories of contact force, deflection/thickness and impactor’s displacement for centrally impacted delaminated cross-ply composite cantilevered conical shells.
SunCTChattopadhyayS. Dynamic response of anisotropic laminated plates under initial stress to impact of a mass. J Appl Mech1975; 42(3): 693–698.
2.
SunCTChenJK. On the impact of initially stressed composite laminates. J Compos Mater1985; 19: 490–504.
3.
ParhiPKBhattacharyyaSKSinhaPK. Failure analysis of multiple delaminated due to bending and impact. Bull Mater Sci2001; 24(2): 143–149.
4.
KarmakarAKishimotoK. Transient dynamic response of delaminated composite rotating shallow shells subjected to impact. Shock Vibr2006; 13: 619–628.
5.
FuYimingMaoYiqiTianYanping. Damage analysis and dynamic response of elasto-plastic laminated composite shallow spherical shell under low velocity impact. Int J Solid Struct2010; 47(1): 126–137.
6.
KhaliliSMRAzarafzaRDavarA. Transient dynamic response of initially stressed composite circular cylindrical shells under radial impulse load. Compos Struct2009; 89(2): 275–284.
7.
KhaliliSMRSoroushMDavarA. Finite element modeling of low-velocity impact on laminated composite plates and cylindrical shells. Compos Struct2011; 93(5): 1363–1375.
8.
Chun-ChuanLiuFeng-MingLiWen-HuHuang. Transient wave propagation and early short time transient responses of laminated composite cylindrical shells. Compos Struct2011; 93(10): 2587–2597.
9.
MianbinZhengGuohuaChen. Dynamic response characteristics of double-layer composite cylindrical shell subjected to multi-field coupling loadings. Energy Procedia2012; 16: 619–626.
10.
RaimondoLIannucciLRobinsonP. A progressive failure model for mesh-size-independent FE analysis of composite laminates subject to low-velocity impact damage. Compos Sci Technol2012; 72(5): 624–632.
11.
ShiYSwaitTSoutisC. Modelling damage evolution in composite laminates subjected to low velocity impact. Compos Struct2012; 94(9): 2902–2913.
12.
TinardVDeckCBourdetN. Motorcyclist helmet composite outer shell characterisation and modelling. Mater Design2011; 32(5): 3112–3119.
13.
SetoodehARTahaniMSelahiE. Transient dynamic and free vibration analysis of functionally graded truncated conical shells with non-uniform thickness subjected to mechanical shock loading. Compos B: Eng2012; 43(5): 2161–2171.
14.
JinghuaZhangShirongLi. Dynamic buckling of FGM truncated conical shells subjected to non-uniform normal impact load. Compos Struct2010; 92(12): 2979–2983.
15.
Kowal-MichalskaKKubiakTSwiniarskiJ. Influence of blast pressure modeling on the dynamic response of conical and hemispherical shells. Thin-Walled Struct2011; 49(5): 604–610.
16.
GuptaAKPatelBPNathY. Continuum damage mechanics approach to composite laminated shallow cylindrical/conical panels under static loading. Compos Struct2012; 94(5): 1703–1713.
17.
LiewKMLimCMOngLS. Vibration of pretwisted cantilever shallow conical shells, I. J Solid Struct1994; 31(18): 2463–2474.
18.
LeissaAWLeeJKWangAJ. Vibrations of twisted rotating blades. J Vibration Acous Stress Reliab Design Trans (ASME)1984; 106(2): 251–257.
SreenivasamurthySRamamurtiV. Coriolis effect on the vibration of flat rotating low aspect ratio cantilever plates. J Strain Anal1981; 16(2): 97–106.
21.
YangSHSunCT. Indentation law for composite laminates. Compos Mater: Test Design, ASTM STP1982; 787: 425–446.
22.
TanTMSunCT. Wave propagation in graphite/epoxy laminates due to impact. J Appl Mech1985; 52: 6–12.
23.
KarmakarASinhaPK. Finite element transient dynamic analysis of laminated composite pretwisted rotating plates subjected to impact. Int J of Crashworthiness1998; 3(4): 379–391.
24.
KarmakarAKishimoto Kikuo. Transient dynamic response of delaminated composite rotating shallow shells subjected to impact. Shock Vibr2006; 13(6): 619–628.
25.
GimCK. Plate finite element modelling of laminated plates. Compos Struct1994; 52: 157–168.
26.
KrawczukMOstachowiczWZakA. Dynamics of cracked composite material structures. J Comput Mech1997; 20: 79–83.
27.
GoldsmithW. Impact: The theory and physical behaviour of colliding solids, London: Edward Arnold (Publishers) Ltd, 1960.
