Consistent integration of the constitutive equations of Gurson materials under adiabatic conditions

Vadillo, G.; Zaera, R.; Fernández-Sáez, J.

Affiliations

¹Department of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid, Avda. de la Universidad, 30, 28911 Leganés, Madrid, Spain

Abstract and keywords

In this paper, a consistent integration procedure for the thermoviscoplastic version of the complete Gurson model is proposed. With adiabatic conditions considered and with the use of the backward Euler integration scheme, a numerical algorithm implicit in all variables as well as the corresponding algorithmic operator have been developed. The proposed algorithm was implemented in a finite element code and its performance is demonstrated with the numerical simulation of different examples.

Keywords: Gurson model; Thermoviscoplasticity; Consistent integration

Links

DOI: 10.1016/j.cma.2007.11.008

WoS: 000253568400008

Cited Works (10)

Year	Entry
2000	Zhang ZL, Thaulow C, Ødegård J. A complete Gurson model approach for ductile fracture. Eng Fract Mech. September 1, 2000;67(2):155-168.
1981	Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract. 1981;17(4):389-407.
1978	Needleman A, Rice JR. Limits to ductility set by plastic flow localization. In: Koistinen DP, Wang N-M, eds. Mechanics of Sheet Metal Forming: Material Behavior and Deformation Analysis. New York, NY: Plenum PRess; 1978:237-267.
1983	Johnson GR, Cook WH. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In: Proceedings of the 7th International Symposium on Ballistics. 1983; The Hague, Netherlands.
1982	Tvergaard V. On localization in ductile materials containing spherical voids. Int J Fract. 1982;18(4):237-252.
1984	Tvergaard V, Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 1984;32(1):157-169.
1990	Thomason PF. Ductile Fracture of Metals. Pergamon Press; 1990.
1977	Gurson AL. Continuum theory of ductile rupture by void nucleation and growth, I: yield criteria and flow rules for porous ductile media. J Eng Mater Technol. 1977;99(1):2-15.
1987	Aravas N. On the numerical integration of a class of pressure-dependent plasticity models. Int J Num Meth Eng. 1987;24(7):1395-1416.
1980	Chu CC, Needleman A. Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol. 1980;102(3):249-256.

Cited By (1)

Year	Entry
2014	Crété JP, Longère P, Cadou JM. Numerical modelling of crack propagation in ductile materials combining the GTN model and X-FEM. Comput Meth Appl Mech Eng. June 15, 2014;275:204-233.