Numerical Study about Combined Effect of Distributed Initial Imperfections and Dent on Ultimate Strength of Square Plates under Uni-Axial Compression

Abstract:

Aim of this present work is to study the combined effect of distributed geometric global imperfection and a local dent on buckling strength of thin square plates subjected to uni-axial compression. Steady state non linear FE analysis including both material and geometrical non linearities is used to determine the ultimate strength of the dented plates. From the numerical result it is found that in case of low thickness plates global geometric imperfections effect is more dominant and in case of thick plate dent effect is found to be more dominant.

• Periodical: Applied Mechanics and Materials (Volumes 813-814)
• Pages: 1037-1041
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.813-814.1037
• Online since: November 2015
• Authors: Duraikannou Peroumal*, E. Sidhuvilaji, B. Prabu, A.V. Raviprakash
• Keywords: Buckling, Dent, Finite Element Analysis, Ultimate Strength

References

[1] Suneel Kumar, M., Alagusundaramoorthy, P., and Sundaravadivelu, R, Ultimate strength of square plate with rectangular opening under axial compression. J of Naval Architecture and Marine Engineering, 4(2007) 15-26.

DOI: 10.3329/jname.v4i1.913

[2] Pal'chikov, O. I, Asymptotic estimate of stress concentration near dents, Translated from Problemy Prochnosti, 10(1971) 32-37.

[3] Dow. R. S and Smith. C. S, Effects of localized imperfections on compressive strength of long rectangular plates. J of Constr steel Res. 4(1984) 51-76.

DOI: 10.1016/0143-974x(84)90035-x

[4] Paik, J. K. , Ultimate strength of dented steel plates under edge shear loads, Thin-Walled Structures, 43 (2005) 1475-1492.

DOI: 10.1016/j.tws.2005.03.011

[5] AN. Hai, AN. WeiGang, and Zhao WeiTao , Reliability analysis of ship structure system with multi-defects. " Sci China Phys Mech Astron, 53(2010) 2113-2124.

DOI: 10.1007/s11433-010-4124-9

[6] AN. Hai, AN. WeiGang, and Ming Liu, Reliability analysis for structure system with the local dented plate. " Advanced Materials Research, 189-193(2011) 4434-4437.

DOI: 10.4028/www.scientific.net/amr.189-193.4434

[7] Raviprakash, A. V., Prabu, B., and Alagumurthi, N, Ultimate strength of a square plate with a longitudinal/ transverse dent under axial compression, J of Mechanical Science and Technology Research, 25(2011)2377-2384.

DOI: 10.1007/s12206-011-0527-4

[8] Zhi-gang LI, Ming-yi ZHANG, Fu LIU, Chun-sheng MA, Jin-huan ZHANG, Zhong-min HU, Jia-zhen ZHANG and Ya-nan ZHAO, Influence of dent on residual ultimate strength of 2024-T3 aluminum alloy plate under axial compression Trans. Nonferrous Met. Soc. China 24(2014).

DOI: 10.1016/s1003-6326(14)63446-4

[9] Wang, C.M., Aung, T.M., Kitipornchai, S. And Xiang, Y , Plastic-buckling of rectangular plates under combined uniaxial and shear stresses, J of Engg. Mechs, 135(2009) 892-895.

DOI: 10.1061/(asce)0733-9399(2009)135:8(892)

[10] Paik JK , Residual ultimate strength of steel plates with longitudinal cracks under axial compression nonlinear finite element method investigations. Ocean Engg. 36(2009) 266–76.

DOI: 10.1016/j.oceaneng.2008.12.001

[11] Raviprakash, A.V., Prabu, B. and Alagumurthi, N, Effect of size and orientation of a centrally located dent on the ultimate strength of a thin square steel plate under axial compression, International Journal of Steel Structures, Vol. 12(2012).

DOI: 10.1007/s13296-012-1005-2

[12] Jana, P. And Bhaskar, K , Analytical solutions for buckling of rectangular plates under non-uniform biaxial compression or uniaxial compression with in-plane lateral restraint , International Journal of Mechanical Sciences, 49(2007)1104-1112.

DOI: 10.1016/j.ijmecsci.2007.03.002

[13] Paik JK, Thayamballi AK, Kim BJ, Advanced ultimate strength formulations for ship plating under combined biaxial compression/tension, edge shear, and lateral pressure loads. Marine Technology; 38(2001): 9–25.

DOI: 10.5957/mt1.2001.38.1.9

[14] Smith CS, Davidson PC, Chapman JC, Dowling JP, Strength and Stiffness of Ships Plating under In-plane Compression and Tension. Transactions RINA. 1988; 130(1988) 277-96.