NICE-An explicit numerical scheme for efficient integration of nonlinear constitutive equations

Mathematics and Computers in Simulation

Volumn 80, Issue 2, 2009, Pages 294-313

  Halilovič, Miroslav ^a   Vrh, Marko ^a,b   Štok, Boris ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

^b Kovinoplastika Lož ^*  (Slovenia)

Author keywords

Constitutive equations; Elasto plasticity; Explicit numerical integration; Finite element method; Numerical method

Indexed keywords

CPU TIME; DIRECT SOLUTION METHOD; EULER SCHEME; EXPLICIT DYNAMICS; EXPLICIT NUMERICAL INTEGRATION; EXPLICIT SCHEME; HIGHLY NONLINEAR; INTERFACE PLATFORMS; MATERIAL MODELS; NONLINEAR CONSTITUTIVE EQUATIONS; NUMERICAL SCHEME; USER MATERIAL SUBROUTINE; VON MISES;

CONSTITUTIVE EQUATIONS; DIFFERENTIAL EQUATIONS; DYNAMIC ANALYSIS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; NUMBER THEORY; NUMERICAL METHODS; PLASTICITY;

NONLINEAR EQUATIONS;

EID: 70349973296     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2009.06.030     Document Type: Article

References (14)

1. ABAQUS Version 6.6, User's Manual, SIMULIA, Providence, RI, 2006.
2. Alireza V., Amirkhizi, and Nemat-Nasser S. A framework for numerical integration of crystal elasto-plastic constitutive equations compatible with explicit finite element codes. International Journal of Plasticity 23 (2007) 1918-1937
3. Aravas N. On the numerical integration of a class of pressure-dependent plasticity. International Journal for Numerical Methods in Engineering 24 7 (1987) 1395-1416
4. Chu C.C., and Needleman A. Void nucleation effects in biaxially stretched sheets. ASME Journal of Engineering Materials and Technology 102 (1980) 249-256
5. Crisfield M.A. Basic Topics. Non-linear Finite Element Analysis of Solids and Structures vol. 1 (1997), Wiley, New York
6. Ding K.Z., Qin Q.-H., and Cardew-Hall M. Substepping algorithms with stress correction for the simulation of sheet metal forming process. International Journal of Mechanical Sciences 49 11 (2007) 1289-1308
7. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part 1-Yield criteria and flow rules for porous ductile media. ASME Journal of Engineering Materials and Technology 99 (1977) 2-15
8. Mattsson H., Axelsson K., and Klisinski M. A method to correct yield surface drift in soil plasticity under mixed control and explicit integration. International Journal for Numerical and Analytical Methods in Geomechanics 21 (1998) 175-197
9. Ortiz M., and Simo J.C. An analysis of a new class of integration algorithms for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering 23 (1986) 353-366
10. Polat M.U., and Dokainish M.A. An automatic subincrementation scheme for accurate integration of elasto-plastic constitutive relation. Computers & Structures 31 (1989) 339-347
11. Potts D.M., and Gens A. A critical assessment of methods of correcting for drift from the yield surface in elasto-plastic finite element analysis. International Journal for Numerical Methods in Engineering 9 2 (1985) 149-159
12. Sloan S., Abbo A., and Sheng D. Refined explicit integration of elastoplastic models with automatic error control. Engineering Computations 18 (2001) 121-194
13. Tvergaard V. On localization in ductile materials containing spherical voids. International Journal of Fracture 18 (1982) 237-252
14. Tvergaard V. Material failure by void growth to coalescence. Advances in Applied Mechanics 27 (1990) 83-151