Plastic Instability in Simple Stretching of Sheet Metals

1968 ◽  
Vol 90 (2) ◽  
pp. 387-392 ◽  
Author(s):  
F. Negroni ◽  
S. Kobayashi ◽  
E. G. Thomsen

The plastic instability was examined for stretching a plane flat sheet by in-plane tensile principal stresses. Limiting equilibrium or development of nonuniform strains defines the onset of plastic instability. Under dead loading the Swift theory gives the conditions for limiting equilibrium, while it results in the condition for the failure of uniqueness for given strain paths. When the initial nonuniformity of the properties and dimensions in the sheet is considered, the Dorn maximum load criterion is applicable for the condition of plastic instability. The optimum paths along which the maximum strains can be achieved before instability takes place were obtained and the limiting maximum strains was calculated along these paths for the Dorn criterion and for the Swift theory.

1984 ◽  
Vol 19 (12) ◽  
pp. 4133-4137 ◽  
Author(s):  
F. Barlat ◽  
A. Barata Da Rocha ◽  
J. M. Jalinier

2014 ◽  
Vol 548-549 ◽  
pp. 297-300
Author(s):  
Dae Yong Kim ◽  
Hyeon Il Park ◽  
Ji Hoon Kim ◽  
Sang Woo Kim ◽  
Young Seon Lee

Studies on electromagnetic impact welding between similar or dissimilar flat sheet metals using the flat one turn coil have been recently achieved. In this study, three dimensional electromagnetic-mechanical coupled numerical simulations are performed for the electromagnetic impact welding of aluminum alloy sheets with flat rectangular one turn coil. The deformation behavior during impact welding was examined. The effect of process parameters such as charge voltage, standoff distance and gap distance were investigated.


2011 ◽  
Author(s):  
Marilena C. Butuc ◽  
Frédéric Barlat ◽  
José J. Gracio ◽  
Gabriela Vincze

Author(s):  
Shengjun (Sean) Yin ◽  
B. Richard Bass ◽  
Wallace J. McAfee ◽  
Paul T. Williams

An experimental program was conducted by the Heavy-Section Steel Technology Program at the Oak Ridge National Laboratory (ORNL) to evaluate the structural significance of defects found in the unbacked cladding of the Davis-Besse vessel head. ORNL conducted total 13 clad burst tests with unflawed/flawed specimens. Failure pressure data from those tests indicated a high degree of repeatability for the tests performed in the clad burst program. Unflawed clad burst specimens failed around the full perimeter of the disk from plastic instability; an analytical model for plastic collapse was shown to adequately predict those results. The flawed specimens tested in the program failed by ductile tearing of the notch defect through the clad layer. Analytical interpretations that utilized 3-D finite element models of the clad burst specimens were performed for all tests. Fractographic studies were performed on failed defects in the flawed burst specimens to verify the ductile mode of failure. Comparisons of computed results from 3-D finite element models with measured gage displacement data (i.e., center-point deflection and CMOD) indicated reasonably good agreement up to the region of instability. For tests instrumented with the CMOD gage, good agreement between calculated and measured CMOD data up to the onset of instability implies that ductile tearing initiated near the maximum load and (with a small increase in load) rapidly progressed through the clad layer to produce failure of the specimen.


1969 ◽  
Vol 91 (3) ◽  
pp. 659-663 ◽  
Author(s):  
F. Negroni ◽  
E. G. Thomsen

The Dorn maximum load criterion and the Swift criterion for plastic tensile instability of a flat sheet stretched by in-plane forces are discussed. Both hypotheses are applicable when an initial nonuniformity of a sheet material is considered but that one is valid which is satisfied first. Experimental results in biaxial stretching of aluminum sheet specimens showed general agreement with both criteria; however, the Dorn maximum load criterion more accurately described the condition for necking when both principal strain rates on the plane of the sheet were positive. The significance and the calculation of the strain hardening parameter n = (ε/σ)(dσ/dε) are discussed, and the effect of prior deformation of the material on instability is analyzed.


2011 ◽  
Vol 473 ◽  
pp. 653-658
Author(s):  
Babak Jamshidi ◽  
Farhad Haji Aboutalebi ◽  
Mahmoud Farzin ◽  
Mohammad Reza Forouzan

Various thin-walled parts with fairly complex shapes are produced from sheet metals such as automotive panels and other structural parts. In these processes, damage and fracture may be observed on the work piece, and formability plays a fundamental role. Therefore, determination of forming limits and prediction of rupture modes in these operations is very important for process design engineers. In this paper, first, based on plane stress elasto-plasticity and finite strain theories a fully coupled elastic-plastic-damage model is used to predict damage evolution in one sheet metal forming process with nonlinear and complex strain paths. As the plane stress algorithm is valid for thin sheet metals and finite strain theory is recommended for large deformations or rotations, the model is able to quickly predict both deformation and damage behaviour of the parts with nonlinear and complex strain paths. The numerical simulations are compared with experimental tests. Comparison of the numerical and experimental results shows that the proposed damage model is accurate for various forming conditions. Hence, it is concluded that finite element method combined with continuum damage mechanics, can be used as a reliable and rapid tool to predict damage evolution in sheet metal forming processes with nonlinear and complex strain paths.


2011 ◽  
Vol 473 ◽  
pp. 404-411 ◽  
Author(s):  
Sebastian Fritzsche ◽  
Ralf Ossenbrink ◽  
Vesselin Michailov

Structured sheet metals with regular bumps offer higher bending stiffness compared to flat sheet metals. The application of structured sheet metals requires new investigations regarding their strength and deformation behaviour. Standardised testing methods like the tensile test considering defined specimen geometry and measuring methods exist. Those methods, however, have been developed for plain sheets and cannot be directly transferred to structured sheet metals. The assessment of the strength and deformation behaviour of structured sheet metals needs adapted specimen geometry and measuring methods. In this paper the adaption of the standardised tensile test in accordance with DIN EN ISO 6892-1 to the specific characteristics of structured sheet metals is introduced. In order to determine the appropriate specimen geometry their dimensions were methodically varied and the influence of the structure position on the strength and the deformation behaviour was identified. The analysis of the local strain behaviour was carried out by 3D displacement measurement with the ARAMIS-system. For the derivation of the material properties different analysing methods were developed. The test results were compared to those of flat sheet metals.


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