A closed form formula to predict the ultimate capacity of pitted mild steel plate under biaxial compression

Abstract The aim of the present paper is to investigate the effects of pitting corrosion on the ultimate capacity of mild steel rectangular plates under biaxial compression, extending earlier results of uniaxially loaded plates. A series of non-linear FEM analysis of plates with partial depth corrosion pits are carried out, changing geometrical attributes of both pits and plates, i.e., the radius, depth and location of pits and the slenderness of plates. Simulation results show that volume loss dominates the degradation of the compressive capacity of pitted mild steel plates as well as loading ratio. Plate slenderness has considerable effect on biaxial interaction curve shape. A regression analysis of FEM results is conducted leading to a closed form formula able to predict the remaining strength of pitting corroded plates, where both volume loss and plate slenderness are taken into account. The proposed formula will facilitate a quick estimation of the remaining strength of pitting corroded plates during lifetime ship design phase which is relevant to maintenance decision-making of aging ship structures and components.

[1]  D. Faulkner,et al.  Synthesis of welded grillages to withstand compression and normal loads , 1973 .

[2]  Lei Jiang,et al.  A computational investigation of the effects of localized corrosion on plates and stiffened panels , 2004 .

[3]  Jeom Kee Paik,et al.  Effect of Initial Deflection Shape on the Ultimate Strength Behavior of Welded Steel Plates Under Biaxial Compressive Loads , 2004 .

[4]  C. Guedes Soares,et al.  Compressive strength of rectangular plates under biaxial load and lateral pressure , 1996 .

[5]  Jeom Kee Paik,et al.  Buckling and ultimate strength interaction in plates and stiffened panels under combined inplane biaxial and shearing forces , 1995 .

[6]  J. Paik,et al.  Ultimate shear strength of plate elements with pit corrosion wastage , 2004 .

[7]  D. Faulkner.  A REVIEW OF EFFECTIVE PLATING TO BE USED IN THE ANALYSIS OF STIFFENED PLATING IN BENDING AND COMPRESSION , 1973 .

[8]  C. Soares,et al.  Ultimate Compressive Capacity of Rectangular Plates With Partial Depth Pits , 2013 .

[9]  Yongchang Pu,et al.  Computation of ultimate strength of locally corroded unstiffened plates under uniaxial compression , 2007 .

[10]  J. Paik,et al.  Ultimate compressive strength of plate elements with pit corrosion wastage , 2003 .

[11]  Sverre Valsgård.  Numerical design prediction of the capacity of plates in biaxial in-plane compression , 1980 .

[12]  J K Paik,et al.  Ultimate strength of ageing ships , 2002 .

[13]  C. Soares,et al.  Ultimate capacity of rectangular plates with partial depth pits under uniaxial loads , 2012 .

[14]  Norio Yamamoto,et al.  Effect of pitting corrosion on the ultimate strength of steel plates subjected to in-plane compression and bending , 2006 .

[15]  H. Arai,et al.  Effect of pitting corrosion on local strength of hold frames of bulk carriers (1st report) , 2004 .

[16]  Yi Huang,et al.  Ultimate strength assessment of hull structural plate with pitting corrosion damnification under biaxial compression , 2010 .

[17]  C. Guedes Soares,et al.  BEHAVIOUR AND DESIGN OF STIFFENED PLATES UNDER PREDOMINANTLY COMPRESSIVE LOADS , 1983 .

[18]  Torgeir Moan,et al.  On the Strength Assessment of Pitted Stiffened Plates Under Biaxial Compression Loading , 2005 .

[19]  Norio Yamamoto,et al.  Effect of pitting corrosion on local strength of hold frames of bulk carriers (2nd Report)—Lateral-distortional buckling and local face buckling , 2004 .

[20]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[21]  Â. Teixeira,et al.  Ultimate strength of plates with random fields of corrosion , 2008 .