Using objects to model finite deformation plasticity

Engineering with Computers

Volumn 15, Issue 1, 1999, Pages 37-60

  Zabaras, N ^a   Srikanth, A ^a  

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DEFORMATION; FINITE ELEMENT METHOD; HEAT TRANSFER; LAGRANGE MULTIPLIERS; METAL FORMING; PLASTICITY; SIMULATORS; STRAIN;

FINITE DEFORMATIONS; OBJECT ORIENTED METHODS;

OBJECT ORIENTED PROGRAMMING;

EID: 0032673175     PISSN: 01770667     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003660050004     Document Type: Article

References (41)

1. Barton, J. J.; Nackman, L. R. (1994) Scientific and Engineering C++. Addison-Wesley, New York
2. Mackie, R. I. (1992) Object oriented programming of the finite element method. International Journal for Numerical Methods in Engineering, 35, 425-436
3. Zimmermann, T.; Dubois-Pèlerin, Y.; Bomme, P. (1992) Object-oriented finite element programming: I Governing principles. Computer Methods in Applied Mechanics and Engineering, 98, 291-303
4. Dubois-Pèlerin, Y.; Zimmermann, T.; Bomme, P. (1992) Object-oriented finite element programming: II A prototype program in Smalltalk. Computer Methods in Applied Mechanics and Engineering, 98, 361-397
5. Dubois-Pèlerin, Y.; Zimmermann, T. (1993) Object-oriented finite element programming: III An efficient implementation in C++. Computer Methods in Applied Mechanics and Engineering, 108, 165-183
6. Diffpack World Wide Web document: Diffpack v1.4 Report Series, SINTEF and University of Oslo, 1996 (URL: http://www.nobjects.com/diffpack)
7. Diffpack Basic Tools, Diffpack Reference Manual, Vol. I, World Wide Web document, SINTEF and University of Oslo, 1996 (URL:http://www. nobjects.com/diffpack)
8. Diffpack Linear Algebra Tools, Diffpack Reference Manual, Vol. II, World Wide Web document, SINTEF and University of Oslo, 1996 (URL: http://www.nobjects.com/diffpack)
9. Diffpack DpKernel - DpUtil, Diffpack Reference Manual, Vol. III, World Wide Web document, SINTEF and University of Oslo, 1996 (URL: http://www.nobjects.com/diffpack)
10. Mackie, R. I. (1997) Using objects to handle complexity in FE software. Engineering with Computers, 13, 99-111
11. Arge, E.; Bruaset, A. M.; Langtangen, H.-P. (eds.) (1997) Modern Software Tools for Scientific Computing. Birkhauser, Boston
12. Daehlen, M.; Tveito, A. (eds.) (1997) Numerical Methods and Software Tools in Industrial Mathematics. Birkhauser, Boston
13. Zabaras, N.; Srikanth, A. An object oriented programming approach to the Lagrangian FEM analysis of large inelastic deformations and metal forming processes. International Journal for Numerical Methods in Engineering, in press
14. Srikanth, A.; Zabaras, N. A computational model for the finite element analysis of thermoplasticity coupled with ductile damage at finite strains. International Journal for Numerical Methods in Engineering, in press
15. Sampath, R.; Zabaras, N. (1997) A diffpack implementation of the Brooks/Hughes Streamline-upwind/Petrov-Galerkin FEM formulation for the incompressible Navier-Stokes equations. Research Report MM-97-01, Sibley School of Mechanical and Aerospace Engineering, Cornell University, (URL: http://www.mae.cornell.edu/research/zabaras)
16. Sampath, R.; Zabaras, N. (1997) Finite element simulation of buoyancy driven flows using an object oriented approach. Research Report MM-97-02, Sibley School of Mechanical and Aerospace Engineering, Cornell University (URL:http://www.mae.cornell.edu/ research/zabaras)
17. Sampath, R.; Zabaras, N. (1997) FEM simulation of double diffusive convection using an object oriented approach. Research Report MM-97-03, Sibley School of Mechanical and Aerospace Engineering, Cornell University (URL:http://www.mae.cornell.edu/research/ zabaras)
18. Sampath, R.; Zabaras, N. (1998) An object oriented implementation of a front tracking finite element method for directional solidification processes. International Journal for Numerical Methods in Engineering, in press
19. Weber, G.; Anand, L. (1990) Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids. Computer Methods in Applied Mechanics and Engineering, 79, 173-202
20. Gurson, A. L. (1977) Continuum theory of ductile rupture by void nucleation and growth: Part 1 - Yield criteria and flow rules for a porous ductile media. Journal of Engineering Materials Technology, 99, 2-15
21. Tvergaard, V.; Needleman, A. (1991) Elastic-Viscoplastic analysis of ductile fracture. Finite Inelastic Deformations - Theory and Applications, D. Bedso, E. Stein (eds.), IUTAM symposium Hannover/Germany, 3-14
22. Budiansky, J. (1970) Thermal and thermoelastic properties of isotropic composites, Journal of Composite Materials, 4, 286-295
23. Aravas, N. (1987) On the numerical integration of a class of pressure-dependent plasticity models. International Journal for Numerical Methods in Engineering, 24, 1395-1416
24. Zavaliangos, A.; Anand, L.; von Turkovich, B. F. (1991) Deformation processing. Annals of the CIRP, 40, 267-271
25. Zavaliangos, A.; Anand, L. (1992) Thermal aspects of shear localization in microporous viscoplastic solids. International Journal for Numerical Methods in Engineering, 33, 595-634
26. Gelin, J. C.; Predeleanu, M. (1992) Recent advances in damage mechanics: Modeling and computational aspects. Numerical Methods in Industrial Forming Processes, Chenot, Wood and Zienkiewicz (eds) 89-98
27. Steinmann, P.; Miehe, C.; Stein, E. (1994) Comparison of different finite deformation inelastic damage models with multiplicative elastoplasticity for ductile materials. Computational Mechanics, 13, 458-474
28. Zhang, Z. L. (1995) On the accuracy of numerical integration algorithms for Gurson-based pressure dependent elastoplastic constitutive models. Computer Methods in Applied Mechanics and Engineering, 121, 15-28
29. Zhang, Z. L. (1995) Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models. Computer Methods in Applied Mechanics and Engineering, 121, 29-44
30. Picart, P.; Piechel, G.; Oudin, J. (1997) Damage influence in the finite element computations for large strains elasto-plastic mechanical structures. Advanced methods in materials processing defects, Studies in applied mechanics, 45, 175-184
31. Laursen, T. A.; Simo, J. C. (1991) On the formulation and numerical treatment of finite deformation frictional contact problems. Nonlinear Computational Mechanics - State of the Art, (eds.) P. Wriggers and W. Wager, Springer-Verlag, Berlin, 716-736
32. Simo, J. C.; Laursen, T. A. (1992) An augmented Lagrangian treatment of contact problems involving friction. Computers and Structures, 42(1), 97-116.
33. Moran, B.; Ortiz, M.; Shih, C. F. (1990) Formulation of implicit finite element methods for multiplicative finite deformation plasticity. International Journal for Numerical Methods in Engineering, 29, 483-514
34. Lush, A. M. (1990) Computational procedures for finite element analysis of hot working, PhD Thesis, MIT
35. Simo, J. C.; Miehe, C. (1992) Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Computer Methods in Applied Mechanics and Engineering, 98, 41-104
36. Lush, A. M. (1992) Thermo-mechanically-coupled finite element analysis of hot-working using an implicit constitutive time integration scheme. Numerical Methods in Industrial Forming Processes, Chenot, Wood and Zienkiewicz (eds), 281-286
37. Brown, S. B.; Kim, K. H.; Anand, L. (1989) An internal variable constitutive model for hot working of metals. International Journal of Plasticity, 5, 95-130
38. Lee, N.-S.; Bathe, K.-J. (1994) Error indicators and adaptive remeshing in large deformation finite element analysis. Finite Elements in Analysis and Design, 16, 99-139
39. Peric, D.; Hochard, C.; Dutko, M.; Owen, D. R. J. (1996) Transfer operators for evolving meshes in small strain elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 137, 331-344
40. Malas, J. C.; Gegel, H. L.; Oh, S. I.; Lahoti, G. D. (1983) Metallurgical validation of a finite element program for the modeling of isothermal forging processes. Experimental verification of process models, ASME, 5, 358-372
41. ABAQUS (1989) Reference Manual, Hibbit, Karlsson and Sorensen Inc., 100 Medway Street, Providence, RI, 02906-4402, USA