Simulation of ductile crack growth using computational cells: numerical aspects

1993 1995 van Stone, 1985, Microstructural aspects of fracture by dimpled rupture, International Metals Reviews, 30, 157 Garrison, 1987, Ductile fracture, Journal of the Physics and Chemistry of Solids, 48, 1035, 10.1016/0022-3697(87)90118-1 Xia, 1995, Ductile crack growth. Part I: A numerical study using computational cells with microstructurally-based length scales, Journal of the Mechanics and Physics of Solids, 43, 233, 10.1016/0022-5096(94)00064-C Xia, 1995, Ductile crack growth. Part II: Void nucleation and geometry effects on macroscopic fracture behavior, Journal of the Mechanics and Physics of Solids, 42, 1953, 10.1016/0022-5096(95)00063-O Gurson, 1977, Continuum theory of ductile rupture by void nucleation and growth. Part I: Yield criteria and flow rules for porous ductile media, Journal of Engineering Materials and Technology, 99, 2, 10.1115/1.3443401 Tvergaard, 1990, Material failure by void growth to coalescence, Advances in Applied Mechanics, 27, 83, 10.1016/S0065-2156(08)70195-9 Xia, 1995, A computational approach to ductile crack growth under large scale yielding conditions, Journal of the Mechanics and Physics of Solids, 43, 398, 10.1016/0022-5096(94)00069-H Koppenhoefer, 1998, Ductile crack growth in pre-cracked CVN specimens: numerical studies, Nuclear Engineering and Design, 180, 221, 10.1016/S0029-5493(97)00218-5 Ruggieri, 1996, Numerical modeling of ductile crack growth in 3-D using computational cell elements, International Journal of Fracture, 82, 67, 10.1007/BF00017864 Gao, 1998, Ductile tearing in part-through surface cracks: experiments and cell model predictions, Engineering Fracture Mechanics, 59, 761, 10.1016/S0013-7944(97)00174-4 Bilby, 1993, Prediction of the first spinning cylinder test using ductile damage theory, Fatigue and Fracture of Engineering Materials and Structures, 16, 1, 10.1111/j.1460-2695.1993.tb00067.x Bilby, 1994, Mesh independent cell models for continuum damage theory, Fatigue and Fracture of Engineering Materials and Structures, 17, 1221, 10.1111/j.1460-2695.1994.tb01411.x Howard, 1994, Ductile crack growth predictions for large center crack panels by damage modelling using 3-D finite element analysis, Fatigue and Fracture of Engineering Materials and Structures, 17, 959, 10.1111/j.1460-2695.1994.tb00825.x Li, 1997, Three-dimensional damage theory of crack growth in large centre-cracked panels using the element removal technique, Nuclear Engineering and Design, 172, 1, 10.1016/S0029-5493(96)00005-2 Rousselier, 1987, Ductile fracture models and their potential in local approach of fracture, Nuclear Engineering Design, 105, 97, 10.1016/0029-5493(87)90234-2 Siegmund T, Brocks W. The role of cohesive strength and separation energy for modeling ductile fracture. ASTM STP 1360. Philadelphia: American Society for Testing and Materials, 1999, in press Mathur, 1996, Three dimensional analysis of dynamic ductile crack growth in a thin plate, Journal of the Mechanics and Physics of Solids, 44, 439, 10.1016/0022-5096(95)00087-9 Gao, 1996, Constraint effects on the ductile–brittle transition in small-scale yielding, Journal of the Mechanics and Physics of Solids, 44, 1255, 10.1016/0022-5096(96)00034-8 Brocks, 1995, Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials, International Journal of Plasticity, 11, 971, 10.1016/S0749-6419(95)00039-9 Brocks, 1996, Verification of micromechanical models for ductile fracture by cell model calculations, Computational Materials Science, 7, 235, 10.1016/S0927-0256(96)00086-9 Steglich, 1997, Micromechanical modelling of the behaviour of ductile materials including particles, Computational Materials Science, 9, 7, 10.1016/S0927-0256(97)00053-0 Schmitt, 1993, 106 Sun, 1997, 200 Tvergaard, 1981, Influence of voids on shear band instabilities under plane-strain conditions, International Journal of Fracture, 17, 389, 10.1007/BF00036191 Faleskog, 1998, Cell model for nonlinear fracture analysis. Part I: Micromechanics calibration, International Journal of Fracture, 89, 355, 10.1023/A:1007421420901 Aravas, 1987, On the numerical integration of a class of pressure-dependent plasticity models, International Journal for Numerical Methods in Engineering, 24, 1395, 10.1002/nme.1620240713 Zhang, 1995, On the accuracies of numerical integration algorithms for Gurson-based pressure-dependent elastoplastic constiutive models, Computer Methods in Applied Mechanical Engineering, 121, 15, 10.1016/0045-7825(94)00706-S Tvergaard, 1984, Analysis of the cup-cone fracture in a round tensile bar, Acta Metallurgica, 32, 157, 10.1016/0001-6160(84)90213-X Koppenhoefer K, Gullerud A, Ruggieri C, Dodds R, Healy B. WARP3D: dynamic nonlinear analysis of solids using a preconditioned conjugate gradient software architecture. Structural Research Series (SRS) 596, UILU-ENG-94-2017. University of Illinois at Urbana-Champaign, 1999 Hughes, 1983, An element-by-element solution algorithm for problems of structural and solid mechanics, Computer Methods in Applied Mechanics and Engineering, 36, 241, 10.1016/0045-7825(83)90115-9 Agarwal, 1994, Parallel-vector algorithm for rapid structural analysis on high-performance computers, Computers and Structures, 51, 503, 10.1016/0045-7949(94)90057-4 Hughes, 1980, Generalization of selective integration procedures to anisotropic and nonlinear media, International Journal for Numerical Methods in Engineering, 15, 1413, 10.1002/nme.1620150914 Healy, 1992, A large strain plasticity model for implicit finite element analyses, Computational Mechanics, 9, 95, 10.1007/BF00370065 Nagtegaal, 1984, On the implementation of finite strain plasticity equations in a numerical model, 351 Govindarajan, 1995, Pressure dependent plasticity models: loading–unloading criteria and the consistent linearization of an integration algorithm, International Journal of Numerical Methods in Engineering, 11, 339 Zhang, 1995, Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models, Computer Methods in Allpied Mechanical Engineering, 121, 29, 10.1016/0045-7825(94)00707-T Nakamura, 1985, Computational methods based on an energy integral in dynamic fracture, International Journal of Fracture, 27, 229, 10.1007/BF00017970 Moran, 1987, A general treatment of crack tip contour integrals, International Journal of Fracture, 35, 295, 10.1007/BF00276359 ASTM. E1820-99 standard test method for measurement of fracture toughness. American Society for Testing and Materials, 1999 Zhang, 1996, A sensitivity analysis of material parameters for the Gurson constitutive model, Fatigue and Fracture of Engineering Materials and Structures, 19, 561, 10.1111/j.1460-2695.1996.tb00992.x