A computational model for the finite element analysis of thermoplasticity coupled with ductile damage at finite strains

International Journal for Numerical Methods in Engineering

Volumn 45, Issue 11, 1999, Pages 1569-1605

  Srikanth, Akkaram ^a   Zabaras, Nicholas ^a  

^a Cornell University   (United States)

Author keywords

Damage; Finite deformations; Forming; Thermoplasticity

Indexed keywords

FINITE ELEMENT METHOD; ITERATIVE METHODS; METAL FORMING; PLASTIC DEFORMATION; PLASTICITY; POROUS MATERIALS; STIFFNESS; STRAIN; TEMPERATURE;

COMPUTATIONAL MODEL; DUCTILE DAMAGE; ISOTROPIC POROUS MATERIALS; THERMOPLASTICITY; TWO LEVEL ITERATIVE SCHEME;

MATHEMATICAL MODELS;

THERMOPLASTIC;

EID: 0033588433     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990820)45:11<1569::AID-NME644>3.0.CO;2-P     Document Type: Article

References (26)

1. Tvergaard V, Needleman A. Elastic-viscoplastic analysis of ductile fracture, In Finite Inelastic Deformations - Theory and Application, Bedso D, Stein E, (eds). IUTAM Symposium Hannover, Germany, 1991; 3-14.
2. Lush A.M. Thermo-mechanically-coupled finite element analysis of hot-working using an implicit constitutive time integration scheme. In Numerical Methods in Industrial Forming Processes, Chenot JL, Wood RD, Zienkiewicz OC (eds). 1992; 281-286.
3. Simo JC, Miehe C. Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation. Computer Methods in Applied Mechanics and Engineering 1992; 98:41-104.
4. Zavaliangos A, Anand L, von Turkovich BF. Deformation processing. Annals of the CIRP 1991; 40:267-271.
5. Steinmann P, Miehe C, Stein E. Comparison of different finite deformation inelastic damage models with multiplicative elastoplasticity for ductile materials. Computational Mechanics 1994; 13:458-474.
6. Gelin JC, Predeleanu M. Recent advances in damage mechanics: modeling and computational aspects. In Numerical Methods in Industrial Forming Processes, Chenot JL, Wood RD, Zienkiewicz OC (eds). 1992; 89-98.
7. Picart P, Piechel G, Oudin J. Damage influence in the finite element computations for large strains elastoplastic mechanical structures. Advanced Methods in Materials Processing Defects, Studies in Applied Mechanics 1997; 45:175-184.
8. Gurson AL. 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 Material Technology 1977; 99:2-15.
9. Aravas N. On the numerical integration of a class of pressure-dependent plasticity models. International Journal for Numerical Methods in Engineering 1987; 24:1395-1416.
10. Brown SB, Kim KH, Anand L. An internal variable constitutive model for hot working of metals. International Journal of Plasticity 1989; 5:95-130.
11. Weber G, Anand L. Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids. Computer Methods in Applied Mechanics and Engineering 1990; 79:173-202.
12. Zhang ZL. On the accuracy of numerical integration algorithms for Gurson-based pressure dependent elastoplastic constitutive models. Computer Methods in Applied Mechanics and Engineering 1995; 121:15-28.
13. Zhang ZL. Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models. Computer Methods in Applied Mechanics and Engineering 1995; 121:29-44.
14. 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 1999, in press.
15. Lubliner J. Non-isothermal generalized plasticity. In Thermomechanical Couplings in Solids, Bui HD, Nyugen QS (eds). IUTAM, 1987; 121-133.
16. Budiansky J. Thermal and thermoelastic properties of isotropic composites. Journal of Composite Materials 1970; 4:286-295.
17. Lush AM. Computational procedures for finite element analysis of hot working. Ph.D. Thesis, MIT, 1990.
18. Zavaliangos A, Anand L. Thermal aspects of shear localization in microporous viscoplastic solids. International Journal for Numerical Methods in Engineering 1992; 33:595-634.
19. Hibbit HD. Some follower forces and load stiffness. International Journal for Numerical Methods in Engineering 1979; 14:937-941.
20. Laursen TA, Simo JC. On the formulation and numerical treatment of finite deformation frictional contact problems. In Nonlinear Computational Mechanics - State of the Art, Wriggers P, Wager W (eds). Springer: Berlin; 1991; 716-736.
21. Moran B, Ortiz M, Shih CF. Formulation of implicit finite element methods for multiplicative finite deformation plasticity. International Journal for Numerical Methods in Engineering 1990; 29:483-514.
22. Diffpack World Wide Web Document: Diffpack v 1.4 Report Series, SINTEF and University of Oslo, 1996 (URL:http:www.nobjects.com).
23. Zabaras N, Srikanth A. Using objects to model finite deformation plasticity. Engineering with Computers 1999, in press.
24. Malas JC, Gegel HL, Oh SI, Lahoti GD. Metallurgical validation of a finite element program for the modeling of isothermal forging processes. Experimental Verification of Process Models ASME 1983; 5:358-372.
25. ABAQUS. Reference Manual. Hibbit, Karlsson and Sorensen Inc.: 100 Medway Street, Providence, RI, 02906-4402, 1989.
26. Kuhn HA. Effects of porosity in materials processing. The Effects of Voids on Material Deformation, Applied Mechanics Division Meeting vol. 16. ASME: New York, 1976; 171-188.