Reproducing hoop stress–strain behavior for tubular material using lateral compression test

Abstract Identification of material properties in the hoop direction, such as stress–strain behavior, is essential in tube hydroforming processes. Conventional tests such as uniaxial tension and compression tests have some drawbacks and limitations. In the current investigations a simple technique to identify the stress–strain behavior in the hoop direction for tubular material is introduced, based on the experimental data obtained from tube lateral compression test. In the proposed technique, an assumed stress–strain curve is used in finite element simulation to predict the load deflection curve of the tube lateral compression. An iterative algorithm is used to compare the calculated and experimental load deflection curves until a good agreement with a percentage deviation less than 4% is obtained. The suggested technique was used to obtain the material properties of Cu–40%Zn brass tube. The predicted stress–strain curve was compared with that obtained from uniaxial compression test. Comparison between the experimental and predicted stress–strain curve showed that the proposed technique is effective in the prediction of the material properties from the tube lateral compression test with percentage deviation less than 1%.

[1]  Kurt Lange,et al.  Umformtechnik : Handbuch für Industrie und Wissenschaft , 1988 .

[2]  Glenn J. Grant,et al.  Formability Investigation of Aluminum Extrusions under Hydroforming Conditions , 2000 .

[3]  Stephen R Reid,et al.  Effect of strain hardening on the lateral compression of tubes between rigid plates , 1978 .

[4]  Philip G. Hodge,et al.  Crushing of a Tube Between Rigid Plates , 1963 .

[5]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[6]  J. Z. Zhu,et al.  The finite element method , 1977 .

[7]  D. V. Wilson,et al.  Representation of material behaviour in finite element methods of modelling sheet forming processes , 1990 .

[8]  Mitsunobu Shiraishi,et al.  Measurement of Flow Stress by the Ring Compression Test , 1991 .

[9]  Inverse modelling of constitutive parameters for elastoplastic problems , 2000 .

[10]  J. Gelin,et al.  Modelling the plane strain compression test to obtain constitutive equations of aluminium alloys , 1994 .

[11]  Robert H. Wagoner,et al.  Metal Forming Analysis , 2001 .

[12]  Massimiliano Avalle,et al.  Static lateral compression of aluminium tubes: Strain gauge measurements and discussion of theoretical models , 1997 .

[13]  P. Hartley,et al.  Influence of friction on the prediction of forces, pressure distributions and properties in upset forging , 1980 .

[14]  Sheet-metal forming , 1981 .

[15]  Stephen R Reid,et al.  On obtaining material properties from the ring compression test , 1979 .

[16]  F. Barlat,et al.  Texture development and hardening characteristics of steel sheets under plane-strain compression , 1999 .

[17]  W. R. Tyson,et al.  Ring Hoop Tension Test (RHTT): A Test for Transverse Tensile Properties of Tubular Materials , 2002 .

[18]  Daw-Kwei Leu Finite-element simulation of the lateral compression of aluminium tube between rigid plates , 1999 .

[19]  Stephen R Reid,et al.  Phenomena associated with the crushing of metal tubes between rigid plates , 1980 .

[20]  M. Stout,et al.  Compression testing techniques to determine the stress/strain behavior of metals subject to finite deformation , 1992 .