Comparative study on peak stress multipliers for perforated flat plate with various loadings

Abstract In this study, a mathematical approach is proposed to calculate the stress distributed around the circular hole of perforated flat plate. This analytical method allows an accurate evaluation of the stress state in the perforated plate. Besides, finite element analysis is carried out to determine the stress for perforated plate with different ligament efficiencies, various biaxiality ratios. After that, one dimensionless parameter named as peak stress multiplier (PSM) is analyzed with varying the ligament efficiency and biaxiality ratio for both numerical and analytical method. Through rigorous analysis, some important conclusions are summarized on the PSM. It is found that the PSM is not located at centric hole, and the one predicted by FEM is conservative.

[1]  Fpt Frank Baaijens,et al.  HOMOGENIZATION OF THE ELASTOPLASTIC BEHAVIOR OF PERFORATED PLATES , 1998 .

[2]  Jalil Rezaeepazhand,et al.  Stress analysis of perforated composite plates , 2005 .

[3]  B. Cheng,et al.  Strengthening of perforated plates under uniaxial compression: Buckling analysis , 2010 .

[4]  Jeom Kee Paik,et al.  Ultimate strength of perforated steel plates under combined biaxial compression and edge shear loads , 2008 .

[5]  Myung Jo Jhung,et al.  Study on modal characteristics of perforated shell using effective Young's modulus , 2011 .

[6]  W. Yang,et al.  Stress analysis of the multiple circular holes with the rhombic array using alternating method , 1999 .

[7]  Jae-Hoon Kang.  Exact solutions of stresses, strains, and displacements of a perforated rectangular plate by a central circular hole subjected to linearly varying in-plane normal stresses on two opposite edges , 2014 .

[8]  T. M. Roberts,et al.  Shear strength of composite plate girders with rectangular web cut-outs , 1989 .

[9]  M. A. Komur.  Elasto-plastic buckling analysis for perforated steel plates subject to uniform compression , 2011 .

[10]  V. Raj,et al.  Yield surfaces for perforated plates with square arrays of holes , 2004 .

[11]  R. Narayanan,et al.  Ultimate capacity of uniaxially compressed perforated plates , 1984 .

[12]  Aly S. Nazmy,et al.  Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes , 2001 .

[13]  N. E. Shanmugam,et al.  Steel–concrete composite plate girders subject to combined shear and bending , 2003 .

[14]  Khaled M. El-Sawy,et al.  Elastic stability of bi-axially loaded rectangular plates with a single circular hole , 2007 .

[15]  A. Nazmy,et al.  Elasto-plastic buckling of perforated plates under uniaxial compression , 2004 .

[16]  Elastic stability of plates with circular and rectangular holes subjected to axial compression and bending moment , 2009 .

[17]  The effect of biaxial load on stress and strain concentrations in a finite thickness elastic plate containing a circular hole , 2008 .

[18]  Claudio Modena,et al.  Imperfections in steel girder webs with and without perforations under patch loading , 2009 .

[19]  E. Maiorana,et al.  Non-linear analysis of perforated steel plates subjected to localised symmetrical load , 2009 .

[20]  Yinong Liu,et al.  Finite element computational modelling and experimental investigation of perforated NiTi plates under tension , 2013 .

[21]  H. Achtelik,et al.  Strength tests of axially symmetric perforated plates for chemical reactors: Part 1—The simulation of stress state , 2008 .

[22]  V. Venkat Raj,et al.  Peak stress multipliers for thin perforated plates with square arrays of circular holes , 2003 .

[23]  N. E. Shanmugam,et al.  Finite element modelling of plate girders with web openings , 2002 .

[24]  N. E. Shanmugam,et al.  Design formula for axially compressed perforated plates , 1999 .

[25]  H. Wu,et al.  On stress concentrations for isotropic/orthotropic plates and cylinders with a circular hole , 2003 .