A new similarity law for penetration of steel plates by blunt projectiles

References

• Alves M, Oshiro RE. 2006a. Scaling the impact of a mass on a structure. Int J Impact Eng. 32(7):1158–1173.
   Web of Science ®Google Scholar
• Alves M, Oshiro RE. 2006b. Scaling impacted structures when the prototype and the model are made of different materials. Int J Solids Struct. 43(9):2744–2760.
   Web of Science ®Google Scholar
• Aly SY, Li QM. 2008. Critical impact energy for the perforation of metallic plates. Nucl Eng Des. 238(10):2521–2528.
   Web of Science ®Google Scholar
• Baker WE, Westine PS, Dodge FT. 1991. Similarity methods in engineering dynamics: theory and practice of scale modelling. New Jersey: Spartan Books; [distributed by] Hayden Book.
   Google Scholar
• Børvik T, Hopperstad OS, Langseth M, Malo KA. 2003. Effect of target thickness in blunt projectile penetration of Weldox 460E steel plates. Int J Impact Eng. 28(4):413–464.
   Web of Science ®Google Scholar
• Børvik T, Langseth M, Hopperstad OS, Malo KA. 1999. Ballistic penetration of steel plates. Int J Impact Eng. 22(9-10):855–886.
   Web of Science ®Google Scholar
• Buckingham E. 1915. Model experiments and the forms of empirical equations. Trans Am Soc Mech Eng. 37:263–296.
   Google Scholar
• Casaburo A, Petrone P, Franco F, De Rosa S. 2019. A review of similitude methods for structural engineering. Appl Mech Rev. 71(3):030802.
   Web of Science ®Google Scholar
• Davey K, Bylya O, Krishnamurthy B. 2020. Exact and inexact scaled models for hot forging. Int J Solids Struct. 203:110–130.
   Web of Science ®Google Scholar
• Davey K, Sadeghi H, Darvizeh R, Golbaf A, Darvizeh A. 2021. A finite similitude approach to scaled impact mechanics. Int J Impact Eng. 148:103744.
   Web of Science ®Google Scholar
• Johnson GR, Cook WH. 1983. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Eng Fract Mech. 21:541–548.
   Web of Science ®Google Scholar
• Jones N. 2012. Structural impact. 2nd ed. New York: Cambridge University Press.
   Google Scholar
• Jones N, Birch RS. 2008. Low velocity perforation of mild steel circular plates with projectiles having different shaped impact faces. J Press Vess-T ASME. 130(3):1047–1057.
   Web of Science ®Google Scholar
• Jones N, Birch RS, Duan R. 2008. Low-velocity perforation of mild steel rectangular plates with projectiles having different shaped impact faces. J Press Vess-T ASME. 130(3):31206.
   Web of Science ®Google Scholar
• Jones N, Paik JK. 2012. Impact perforation of aluminium alloy plates. Int J Impact Eng. 48:46–53.
   Web of Science ®Google Scholar
• Jones N, Paik JK. 2013. Impact perforation of steel plates. Ships Offshore Struc. 8(5):579–596.
   Web of Science ®Google Scholar
• Li QM, Jones N. 2000. On dimensionless numbers for dynamic plastic response of structural members. Arch Appl Mech. 70:245–254.
   Web of Science ®Google Scholar
• Mazzariol LM, Alves M. 2019a. Similarity laws of structures under impact load: geometric and material distortion. Int J Mech Sci. 157-158:633–647.
   Web of Science ®Google Scholar
• Mazzariol LM, Alves M. 2019b. Experimental verification of similarity laws for impacted structures made of different materials. Int J Impact Eng. 133:103364.
   Web of Science ®Google Scholar
• Mazzariol LM, Oshiro RE, Alves M. 2016. A method to represent impacted structures using scaled models made of different materials. Int J Impact Eng. 90:81–94.
   Web of Science ®Google Scholar
• Mullin SA, Anderson CE, Wilbeck JS. 2003. Dissimilar material velocity scaling for hypervelocity impact. Int J Impact Eng. 29(1-10):469–485.
   Web of Science ®Google Scholar
• Mullin SA, Littlefield DL, Anderson CE, Chhabildas LC. 1995. An examination of velocity scaling. Int J Impact Eng. 17(4-6):571–581.
   Web of Science ®Google Scholar
• Oshiro RE, Alves M. 2004. Scaling impacted structures. Arch Appl Mech. 74(1-2):130–145.
   Web of Science ®Google Scholar
• Oshiro RE, Alves M. 2009. Scaling of structures subject to impact loads when using a power law constitutive equation. Int J Solids Struct. 46(6):3412–3421.
   Google Scholar
• Paik JK, Won SH. 2007. On deformation and perforation of ship structures under ballistic impacts. Ships Offshore Struc. 2(3):217–226.
   Google Scholar
• Paul B, Zaid M. 1958. Normal perforation of a thin plate by truncated projectiles. J Franklin Inst. 265(4):317–335.
   Google Scholar
• Qian WC. 1984. Mechanics of perforation. Beijing: National Defense Industry Press.
   Google Scholar
• Sadeghi H, Alitavoli M, Darvizeh A, Rajabiehfard R. 2019a. Dynamic plastic behaviour of strain rate sensitive tubes under axial impact. Thin Wall Struct. 143:106220.
   Web of Science ®Google Scholar
• Sadeghi H, Davey K, Darvizeh R, Darvizeh A. 2019b. A scaled framework for strain rate sensitive structures subjected to high rate impact loading. Int J Impact Eng. 125:229–245.
   Web of Science ®Google Scholar
• Sadeghi H, Davey K, Darvizeh R, Darvizeh A. 2019c. Scaled models for failure under impact loading. Int J Impact Eng. 129:36–56.
   Web of Science ®Google Scholar
• Wang S, Xu F, Dai Z. 2020a. Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loads. Arch Appl Mech. 90(4):707–719.
   Web of Science ®Google Scholar
• Wang S, Xu F, Dai Z, Liu XC LIXC, Yang LF, Hui XL. 2020b. A direct scaling method for the distortion problems of structural impact. Chin J Theor Appl Mech. 52(3):774–786.
   Google Scholar
• Wang S, Xu F, Zhang XY, Dai Z, Liu XC, Bai CY. 2022a. A directional framework of similarity laws for geometrically distorted structures subjected to impact loads. Int J Impact Eng. 161:104092.
   Web of Science ®Google Scholar
• Wang S, Xu F, Zhang XY, Yang LF, Liu XC. 2021. Material similarity of scaled models. Int J Impact Eng. 156:103951.
   Web of Science ®Google Scholar
• Wang T, Ni L, Wu T, Wang YX, Xi XL, He H. 2022b. Dynamic similitude technique for predicting the behaviour of structures subjected to impact loads. Int J Impact Eng. 163:104160.
   Web of Science ®Google Scholar
• Wei D, Hu C. 2019. Scaling of an impacted reticulated dome using partial similitude method. Lat Am J Solids Struct. 16(2):e158.
   Web of Science ®Google Scholar
• Zaid M, Paul B. 1957. Mechanics of high speed projectile perforation. J Franklin Inst. 264(2):117–126.
   Google Scholar
• Zaid M, Paul B. 1959. Oblique perforation of a thin plate by a truncated conical projectile. J Franklin Inst. 268(1):24–45.
   Google Scholar
• Zhao YP. 1998. Suggestion of a new dimensionless number for dynamic plastic response of beams and plates. Arch Appl Mech. 68:524–538.
   Web of Science ®Google Scholar