Presenting an analytical model based on the energy method to study the plastic deformation of circular plates under uniformly repeated blast loading

Authors

1 Imam Hossein Univ. for Training Officers & Guards

2 Imam Hossein university

3 Faculty of Mechanical Engineering, University of Eyvanekey

Abstract

Circular plates are simple structures that deform under the action of blast energy. The plastic deformation of the plates is the most important factor of energy absorption in circular sheets. In these structures, which have symmetrical geometry and loading, the greatest amount of deformation occurs in the center of the sheet. Structures such as plates in military applications and even in civilian applications may be repeatedly exposed to explosive loads. In this paper, a new analytical method based on the balance of absorbed plastic work and initial kinetic energy, the behavior of the plate under free and uniformly repeated blast loading is investigated and compared with the experimental method. In this method, it is theoretically possible to investigate the response of the structure under any number of free explosion loads. Each plate is subjected to free blast loading in two consecutive stages. Loading at each stage of the explosion is the same and with the same charge mass and explosion distance. The results of the analytical solution are compared with the experimental results and there is a good agreement between the results.

Keywords

Main Subjects


[1] Nasiri S, Sadegh-Yazdi M, Mousavi SM, Ziya-Shamami M, Mostofi TM. Repeated underwater explosive forming: Experimental investigation and numerical modeling based on coupled Eulerian–Lagrangian approach. Thin-Walled Struct 172:108860.
[2] Ziya-Shamami M, Babaei H, Mostofi TM, Khodarahmi H (2020) Structural response of monolithic and multi-layered circular metallic plates under repeated uniformly distributed impulsive loading: An experimental study. Thin-Walled Struct 157: 107024.
[3] Ziya-Shamami M, Babaei H, Mirzababaie Mostofi T, Khodarahmi H. Experimental investigation of large plastic deformation of single-and multi-layered circular aluminum plates under repeated uniform impulsive loading. Journal of Solid and Fluid Mechanics. 2021 Mar 21;11(1):123-37.
[4] Rezasefat M, Mostofi TM, Ozbakkaloglu T (2019) Repeated localized impulsive loading on monolithic and multi-layered metallic plates. Thin Wall Struc 144: 106332.
[5] Mirzababaie Mostofi T, Babaei H (2019) Plastic deformation of polymeric-coated aluminum plates subjected to gas mixture detonation loading: Part II: Analytical and empirical modelling. J Solid Fluid Mech. 9(2):15-29.
[6] Mostofi TM, Babaei H, Alitavoli M, Lu G, Ruan D (2019) Large transverse deformation of double-layered rectangular plates subjected to gas mixture detonation load. Int J Impact Eng 125: 93-106.
[7] Mostofi TM, Babaei H, Alitavoli M (2016) Theoretical analysis on the effect of uniform and localized impulsive loading on the dynamic plastic behavior of fully clamped thin quadrangular plates. Thin-Walled Struct 109: 367–376.
[8] Mostofi TM, Golbaf A, Mahmoudi A, Alitavoli M, Babaei H (2018) Closed-form analytical analysis on the effect of coupled membrane and bending strains on the dynamic plastic behaviour of fully clamped thin quadrangular plates due to uniform and localized impulsive loading. Thin-Walled Struct 123: 48–56.
[9] Mostofi TM, Babaei H, Alitavoli M. The influence of gas mixture detonation loads on large plastic deformation of thin quadrangular plates: Experimental investigation and empirical modelling. Thin Walled Struct 2017;118:1-11.
[10] Mirzababaie Mostofi T, Babaei H, Alitavoli M (2017) Experimental and theoretical study on large ductile transverse deformations of rectangular plates subjected to shock load due to gas mixture detonation. Strain 53(4): e12235.
[11] Yao S, Zhang D, Lu F (2015) Dimensionless numbers for dynamic response analysis of clamped square plates subjected to blast loading. Arch Appl Mech 85(6): 735-744.
[12] Babaei H, Mirzababaie Mostofi T, Armoudli E (2017) On dimensionless numbers for the dynamic plastic response of quadrangular mild steel plates subjected to localized and uniform impulsive loading. Proc Inst Mech Eng-Part E J Process MechEng 231(5): 939-950.
[13] Babaei H, Mirzababaie Mostofi T (2020) New dimensionless numbers for deformation of circular mild steel plates with large strains as a result of localized and uniform impulsive loading. Proc Inst Mech Eng-Part L J Mater Des Appl 234(2): 231-245.
[14] Rezasefat M, Mirzababaie Mostofi T, Babaei H, Ziya-Shamami M, Alitavoli M (2019) Dynamic plastic response of double-layered circular metallic plates due to localized impulsive loading. Proc Inst Mech Eng-Part L J Mater Des Appl 233(7): 1449-1471.
[15] Zhu  L,  Guo  K,  Li  Y,  Yu  TX,  Zhou  Q  (2018) Experimental  study  on  the  dynamic  behaviour  of  aluminium  foam sandwich plates under single and repeated  impacts  at  low  temperature.  Int  J  Impact Eng 114:123-32.
[16] Zhu L, Shi S, Jones N (2018) Dynamic response of  stiffened  plates  under  repeated  impacts.  Int  J Impact Eng 117:113-22.
[17] Truong  DD,  Jung  HJ,  Shin  HK,  Cho  SR  (2018) Response of low-temperature steel beams subjected to  single  and  repeated  lateral  impacts.  Int  J  Nav Arch Ocean Eng 10(6):670-82.
[18] Zhou Y, Ji C, Long Y, Yu Y, Li Y, Wang T
(2018) Experimental studies on the deformation
and damage of steel cylindrical shells subjected to
double-explosion loadings. Thin-Walled Struct
127:469-82.
[19] Henchie  TF,  Yuen  SC,  Nurick  GN,  Ranwaha  N, Balden  VH (2014) The response of circular plates to  repeated  uniform  blast  loads:  An  experimental and numerical study. Int J Impact Eng 74:36-45.
[20] Teeling-Smith RG, Nurick GN (1991) The deformation and tearing of thin circular plates subjected to impulsive loads. Int J Impact Eng 11(1):77-91.
[21] Babaei H, Mostofi TM, Sadraei SH (2015) Effect of gas detonation on response of circular plate-experimental and theoretical. Struct Eng Mech 56(4): 535-548.
[22] Jones N (2010) Inelastic response of structures due to large impact and blast loadings. J Strain Anal Eng Des 45(6): 451-464.
[23] Jones N (2014) Dynamic inelastic response of strain rate sensitive ductile plates due to large impact, dynamic pressure and explosive loadings. Int J Impact Eng 74: 3-15.
[24] Mostofi TM, Badkhor MS, Ghasemi E (2019) Experimental investigation and optimal analysis of the high-velocity forming process of bilayer plates, J Solid Fluid Mech 9(3): 65-80.
[25] Mostofi TM, Sayah-Badkhor M, Rezasefat M, Ozbakkaloglu T, Babaei H (2020) Gas mixture detonation load on polyurea-coated aluminum plates. Thin-Walled Struct 155: 106851.