A new method and optical system have been developed to measure the strain distribution in sheet metal bending. The method relies on a simple pattern, i.e., a single line of certain width, or an area having a boundary line, marked on the sheet before deformation. The line traverses a width of the sheet metal at an angle. The sheet metal is deformed and an equivalent two-dimensional image of the line after deformation is obtained. By comparing the two-dimensional equivalent of the line after deformation with that before deformation, the strain on the surface of the deformed region is determined. Experiments using sheet metal flanging and hemming were conducted to verify the effectiveness and determine the limitation of the proposed method.

1.
Swillo
,
S. J.
,
Iyer
,
K. A.
, and
Hu
,
S. J.
, 2005, “
Optical System and Method for Measuring Continuously Distributed Strain
,” U.S. Patent publication No. 20050066721.
2.
Dally
,
J. W.
, and
Riley
,
W. F.
, 1991,
Experimental Stress Analysis
, 3rd ed.,
McGraw-Hill
,
New York
.
3.
Thomsen G.
E.
, 1955, “
New Approach to Metal Forming Problems
,”
Trans. ASME
0097-6822,
77
, pp.
515
522
.
4.
Sowerby
,
R.
,
Chu
,
E.
, and
Duncan
,
J. L.
, 1982, “
Determination of the Large Strains in Metal Forming
,”
J. Strain Anal.
0022-4758,
17
(
4
), pp.
95
101
.
5.
Sirkis
,
J. S.
, and
Lim
,
T. J.
, 1991, “
Displacement and Strain Measurement With Automated Grid Methods
,”
Exp. Mech.
0014-4851,
31
(
4
), pp.
382
388
.
6.
Manthey
,
D. W.
, and
Lee
,
D.
, 1995, “
Recent Developments in a Vision-Based Surface Strain Measurement System
,”
J. Optim. Theory Appl.
0022-3239,
47
(
7
), pp.
46
49
.
7.
Takeda
,
M.
,
Ina
,
H.
,
Kobayashi
,
S.
, 1982, “
Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry
,”
J. Opt. Soc. Am.
0030-3941,
72
, pp.
156
160
.
8.
Sciammarella
,
C. A.
, and
Sturgeon
,
D. L.
, 1965, “
Digital-Filtering Techniques Applied to the Interpolation of Moiré-Fringes Data
,”
Exp. Mech.
0014-4851,
7
(
11
), pp.
468
475
.
9.
Morimoto
,
Y.
,
Seguchi
,
Y.
,
Higashi
,
T.
, 1988, “
Application of Moiré Analysis of Strain Using Fourier Transform
,”
Opt. Eng.
0091-3286,
27
(
8
), pp.
650
656
.
10.
Lu
,
H.
,
Vendroux
,
G.
, and
Knauss
,
W. G.
, 1997, “
Surface Deformation Measurements of a Cylindrical Specimen by Digital Image Correlation
,”
Exp. Mech.
0014-4851,
37
(
4
), pp.
433
439
.
11.
Tong
,
W.
, 2004, “
Plastic Surface Strain Mapping of Bent Sheets by Image Correlation
,”
Exp. Mech.
0014-4851,
44
(
5
), pp.
502
511
.
12.
Rice
,
H. S.
, and
Knight
,
R. M.
1959,
Technical Calculus and Analysis
,
McGraw-Hill
,
New York
.
13.
Marciniak
,
Z.
,
Duncan
,
J. J.
, and
Hu
,
S. J.
, 2002,
Mechanics of Sheet Metal Forming
, 2nd ed.,
Butterworth-Heinemann
,
New York
.
14.
Wojnar
,
L.
, 1999,
Image Analysis: Applications in Materials Engineering
,
CRC Press
,
Boca Raton, FL
.
15.
Wolfram Research, 2003, MATHEMATICA, v.
5
.
You do not currently have access to this content.