A sensitivity analysis for the optimal design of metal-forming processes

Computer Methods in Applied Mechanics and Engineering

Volumn 129, Issue 4, 1996, Pages 319-348

  Badrinarayanan, S ^a   Zabaras, Nicholas ^a  

^a School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EXTRUSION DIES; INTERFACES (MATERIALS); KINEMATICS; OPTIMIZATION; SENSITIVITY ANALYSIS; VISCOPLASTICITY;

LARGE DEFORMATION HYPERELASTIC VISCOPLASTIC SOLIDS;

METAL FORMING;

EID: 0030080877     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00859-4     Document Type: Article

References (28)

1. S.M. Hwang and S. Kobayashi, Preform design in disk forging, Int. J. Mech. Tool Des. Res. 26 (1986) 231-243.
2. J. Park, N. Rebelo and S. Kobayashi, A new approach to preform design in metal-forming with the finite element method, Int. J. Mech. Tool Des. Res. 23 (1983) 71-79.
3. S.M. Hwang and S. Kobayashi, Preform design in plane-strain rolling by the finite-element method, Int. J. Mech. Tool Des. Res. 24 (1984) 253-266.
4. S.M. Hwang and S. Kobayashi, Preform design in shell nosing at elevated temperatures, Int. J. Mech. Tool Manufacture 27 (1987) 1-14.
5. S. Kobayashi, S. Oh and T. Altan, Metal-Forming and the Finite-Element Method (Oxford University Press, New York, 1989).
6. N. Zabaras and S. Badrinarayanan, Inverse problems and techniques in metal-forming processes, in: N. Zabaras et al., eds., Inverse Problems in Engineering: Theory and Practice (ASME, New York, 1993) 65-76.
7. C.A. Vidal and R.B. Haber, Design sensitivity analysis for rate-independent elastoplasticity, Comput. Methods Appl. Mech. Engrg. 107 (1993) 393-431.
8. T.H. Lee and J.S. Arora, Shape design sensitivity analysis of viscoplastic structures, Comput. Methods Appl. Mech. Engrg. 108 (1993) 237-259.
9. D.A. Tortorelli, M.M. Tiller and J.A. Dantzig, Optimal design of non-linear parabolic systems, Part I: Fixed spatial domain with applications to process optimization, Comput. Methods Appl. Mech. Engrg. 113 (1994) 141-155.
10. D.A. Tortorelli, J.A. Tomasko, T.E. Morthland and J.A. Dantzig, Optimal design of non-linear parabolic systems, Part II: Variable spatial domain with applications to casting optimization, Comput. Methods Appl. Mech. Engrg. 113 (1994) 157-172.
11. J. Tsay and J.S. Arora, Non-linear structural design sensitivity analysis for path-dependent problems, Parts I & II: General theory and analytical example problems, Comput. Methods Appl. Mech. Engrg. 81 (1990) 183-228.
12. D. Tortorelli, Sensitivity analysis for non-linear constrained elastostatic systems, Int. J. Numer. Methods Engrg. 33 (1992) 1643-1660.
13. S. Mukherjee and A. Chandra, A boundary element formulation for design sensitivities in materially non-linear problems, Acta Mech. 78 (1989) 243-253.
14. Q. Zhang, S. Mukherjee and A. Chandra, Shape design sensitivity analysis for geometrically and materially non-linear problems by the BEM, Int. J. Solids Struct. 29(20) (1992) 2503-2525.
15. C.A. Vidal, H.S. Lee and R.B. Haber, The consistent tangent operator for design sensitivity of history-dependent response, Comput. Sys. Engrg. 2 (1991) 509-523.
16. M. Kleiber, Parameter sensitivity of elastic-plastic response, 2nd U.S. National Congress on Computational Mechanics, 1993.
17. N. Zabaras and S. Kang, On the solution of an ill-posed design solidification problem using minimization techniques in finite- and infinite-dimensional function spaces, Int. J. Numer. Methods Engrg. 36 (1993) 3973-3990.
18. S. Kang and N. Zabaras, Control of the freezing interface motion in two- dimensional solidification processes using the adjoint method, Int. J. Numer. Methods Engrg. 38 (1995) 63-80.
19. N. Zabaras, On the control of solidification processes in the presence of natural convection, in: H.D. Bui et al., eds., Inverse Problems in Engineering Mechanics, ISIP'94 (A.A. Balkema, Rotterdam, 1994) 61-68.
20. S. Badrinarayanan and N. Zabaras, A two-dimensional FEM code for the analysis of large deformations of hyperelastic-viscoplastic solids, Technical Report MM-93-05, Materials Processing and Precision Engineering Program, Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, 1993.
21. L. Anand, Constitutive equations for hot-working of metals, Int. J. Plasticity 1 (1985) 213-231.
22. S.B. Brown, K.H. Kim and L. Anand, An internal variable constitutive model for hot working of metals, Int. J. Plasticity 5 (1989) 95-130.
23. A.M. Lush, G. Weber and L. Anand, An implicit time-integration procedure for a set of internal variable constitutive equations for isotropic elasto-viscoplasticity, Int. J. Plasticity 5 (1989) 521-549.
24. G. Weber and L. Anand, Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids, Comput. Methods Appl. Mech. Engrg. 79 (1990) 173-202.
25. N. Zabaras and A.F.M. Arif, A family of integration algorithms for constitutive equations in finite deformation elastoviscoplasticity, Int. J. Numer. Methods Engrg. 33 (1992) 59-84.
26. A.F.M. Arif and N. Zabaras, On the performance of two tangent operators for finite element analysis of large deformation inelastic problems, Int. J. Numer. Methods Engrg. 35 (1992) 369-389.
27. D.G. Luenberger, Optimization by Vector Space Methods (Wiley, New York, 1968).
28. Y. Jarny, M.N. Ozisik and J.P. Bardon, A general optimization method using adjoint equation for solving multidimensional inverse heat conduction, Int. J. Heat Mass Trans. 34 (1991) 2911-2919.