A solution methodology is developed for the simulation of a plastic workpiece deformed by a compliant tool. The solution for elastic tool displacements is based on the Boundary Element Method (BEM); the viscoplastic response of the workpiece is computed using the Finite Element Method (FEM). At each time increment, tool deflections are recomputed from the elastic solution based on surface tractions developed in the previous converged solution for the viscoplastic response of the workpiece material. Tool stresses may be recovered at any point in the simulation using the BEM solution. The updated tool geometry and motion correspondingly modify the kinematic contact constraint applied in the viscoplastic solution over the subsequent time step. Application of this methodology is demonstrated for simulation of a plane strain forging operation.

1.
Altan, T., 1986, “Forging,” Design of Tools for Deformation Processes, T. Z. Blazynski, ed., Elsevier Applied Science Publishers, New York, NY, pp. 157–197.
2.
Biner
S. B.
,
1992
, “
A Procedure for Determination of the Strain Distribution During Simulation of Metal Forming Using Model Material Techniques
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
114
, pp.
94
99
.
3.
Brebbia, C. A., and Dominguez, J., 1989, Boundary Elements—An Introductory Course, McGraw Hill, New York, NY.
4.
Dawson
P. R.
,
1987
, “
On Modeling of Mechanical Property Changes During Flat Rolling of Aluminum
,”
International Journal of Solids and Structures
, Vol.
23
, pp.
947
968
.
5.
Dawson, P. R., Eggert, G. M., and Beaudoin, A. J., 1995, “A Consistent Penalty Method for Rigid Contact,” International Journal of Numerical Methods in Engineering, in press.
6.
Eggert
G. M.
, and
Dawson
P. R.
,
1987
, “
On the Use of Internal Variable Constitutive Equations in Transient Forming Processes
,”
International Journal of Mechanical Sciences
, Vol.
29
, No.
2
, pp.
95
113
.
7.
Engelman
M. S.
,
Sani
R. L.
,
Gresho
P. M.
, and
Bercovier
M.
,
1982
, “
Consistent vs. Reduced Integration Penalty Methods for Incompressible Media Using Several Old and New Elements
,”
International Journal for Numerical Methods in Fluids
, Vol.
2
, pp.
25
42
.
8.
Hart
E. W.
,
1976
, “
Constitutive Relations for the Non-Elastic Deformation of Metals
,”
ASME Journal of Engineering Materials and Technology
, Vol.
98
, pp.
193
202
.
9.
Schey, J. A., 1983, Tribology in Metalworking: Friction, Lubrication, and Wear, American Society for Metals, Metals Park, OH.
10.
Thompson
E. G.
,
Mack
L. R.
, and
Lin
F.-S.
,
1969
, “
Finite Element Method for Incompressible Slow Viscous Flow with a Free Surface
,”
Developments in Mechanics
, Vol.
5
, pp.
93
111
.
11.
Wilson
W. R. D.
,
1981
, “
Friction and Lubrication in Bulk Metal-Forming Processes
,”
Journal of Applied Metalworking
, Vol.
1
, pp.
7
19
.
12.
Zienkiewicz, O. C., 1977, The Finite Element Method, McGraw-Hill, London.
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