zbMATH — the first resource for mathematics

A computational model of viscoplasticity and ductile damage for impact and penetration. (English) Zbl 1028.74043
The authors develop a constituve model coupling viscoplastic material behaviour with ductile damage for impact and penetration related problems. The constitutive model includes linear thermoelasticity, von Mises yield criterion, associated flow rule, nonlinear isotropic strain hardening, strain-rate hardening, temperature softening due to adiabatic heating, isotropic ductile damage and failure. Four relatively simple uniaxial tensile tests which are described in detail in the paper, are needed in order to define the material constants required by the constitutive model. The calibration procedure is based on a simple least squares fitting. The computational model is verified by the corresponding finite elements simulations of tensile tests. Furthermore, the finite element simulation of a real ballistic penetration test based on the calibrated and verified constitutive model is validated against the corresponding experimental results. Both tests show a good agreement between simulated and measured results.
Reviewer: U.Langer (Linz)

74R15 High-velocity fracture
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74S05 Finite element methods applied to problems in solid mechanics
74R20 Anelastic fracture and damage
74M20 Impact in solid mechanics
74F05 Thermal effects in solid mechanics
Full Text: DOI
[1] Bai, Y; Dodd, B, Adiabatic shear localization: occurrence, theories and applications, (1992), Pergamon Press
[2] Bammann, D.J; Chiesa, M.L; Horstemeyer, M.F; Weingarten, L.I, Failure in ductile materials using finite element simulations, (), 1-54
[3] Barlat, F; Richmond, O, Prediction of tricomponent plane stress yield surface and associated flow and failure behaviour of strongly textured polycrystalline sheets, Int. J. mat. sci. eng., 95, 15-29, (1987)
[4] Berstad, T; Hopperstad, O.S; Langseth, M, Elasto-viscoplastic constitutive models in the explicit finite element code LS-DYNA3D, ()
[5] Bridgman, P.W, Studies in large plastic flow and fracture, (1952), McGraw-Hill · Zbl 0049.25606
[6] Børvik, T; Holen, K; Langseth, M; Malo, K.A, An experimental set-up used in ballistic penetration, (), 683-692
[7] Børvik, T; Langseth, M; Hopperstad, O.S; Malo, K.A, Penetration of steel plates - I. experimental study, ()
[8] Børvik, T; Langseth, M; Hopperstad, O.S; Malo, K.A, Ballistic penetration of steel plates, International journal of impact engineering, 22, 855-886, (1999)
[9] Børvik, T., Hopperstad, O.S., Berstad, T., Langseth, M., 2001. Perforation of 12 mm thick steel plates by 20 mm diameter projectiles with flat, hemispherical and conical noses, Part II: Numerical simulations. Accepted for publication in International Journal of Impact Engineering
[10] Camacho, G.T; Ortiz, M, Adaptive Lagrangian modelling of ballistic penetration of metallic targets, Int. J. comp. meth. appl. mech. engng., 142, 269-301, (1997) · Zbl 0892.73056
[11] Dieter, G.E, Mechanical metallurgy, (1988), McGraw-Hill
[12] El-Magd, E, Influence of strain-rate on ductility of metallic materials, Steel reseach, 68, 67-71, (1997)
[13] Hancock, J.W; Mackenzie, A.C, On the mechanism of ductile failure in high-strength steels subjected to multi-axial stress-states, Int. J. mech. phys. sol., 147-175, (1976)
[14] Hill, R, The mathematical theory of plasticity, (1950), Oxford University Press · Zbl 0041.10802
[15] Holland, D; Halim, A; Dahl, W, Influence of stress triaxiality upon ductile crack propagation, Steel research, 61, 504-506, (1990)
[16] Hopperstad, O.S; Berstad, T; Børvik, T; Langseth, M, A computational model of viscoplasticity and ductile damage, () · Zbl 1028.74043
[17] Hopperstad, O.S; Børvik, T; Berstad, T; Aas-Jakobsen, K; Langseth, M, Penetration of steel plates - II. numerical simulations, () · Zbl 1057.74035
[18] Hosford, W.F; Caddell, R.M, Metal forming: mechanics and metallurgy, (1993), Prentice-Hall New Jersey
[19] Ilstad, H, Validation of numerical collapse behaviour of thin-walled corrugated panels, dr.ing. thesis 1999-101, (1999), Department of Structural Engineering, Norwegian University of Science and Technology Trondheim, Norway, ISBN 82-471-0474-1
[20] Johnson, G.R; Cook, W.H, A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures, ()
[21] Johnson, G.R; Cook, W.H, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures, and pressures, Int. J. engineering fracture mechanics, 21, 31-48, (1985)
[22] Jones, N, Dynamic inelastic failure of structures, Trans. Japan soc. mech. eng., 12, 21-31, (1997)
[23] Khan, A.S; Huang, S, Continuum theory of plasticity, (1995), Wiley-Interscience · Zbl 0856.73002
[24] Lademo, O.-G, Engineering models of elastoplasticity and fracture for aluminium alloys, dr.ing. thesis 1999-39, (1999), Department of Structural Engineering, Norwegian University of Science and Technology Trondheim, Norway, ISBN 82-471-0367-2
[25] Lemaitre, J; Chaboche, J.-L, Mechanics of solid materials, (1990), Cambridge University Press
[26] Lemaitre, J, A short course in damage mechanics, (1992), Springer-Verlag
[27] Lindholm, U.S; Johnson, G.R, Strain-rate effects in metals at large shear strains, ()
[28] LS-DYNA, User’s manuals, (1997), Livermore Software Technology Corporation, V. 940
[29] McClintock, F.A, A criterion for ductile fracture by growth of holes, Int. J. appl. mech., trans. ASME, 35, 363-371, (1968)
[30] Miller, L.E; Smith, J, J. iron steel inst. London, 208, 998-1005, (1970)
[31] Needleman, A, Material rate dependence and mesh s sensitivity in localisation problems, Int. J. comp. meth. appl. mech. engng., 67, 69-85, (1988) · Zbl 0618.73054
[32] Quick, M., Del Grande, A., Spinelli, R., Albertini, C., Børvik, T., Langseth, M., Hopperstad, O.S., 1997. Tensile tests at low, medium and high strain-rate of Weldox 460 E. Norwegian Defence Construction Service, Technical Note No. 251/97
[33] Rice, J.R; Tracey, D.M, On the ductile enlargement of voids in triaxial stress fields, Int. J. mech. phys. solids, 17, 201-217, (1978)
[34] Schweizerhof, K; Walz, M; Rust, W; Franz, U, Quasi-static structural analysis with LS-DYNA - merits and limits, ()
[35] Søvik, O.P, Numerical modelling of ductile fracture – a damage mechanical approach, Dr. ing. thesis 1996-78, (1996), Department of Machine Design and Materials Technology, Norwegian University of Science and Technology Trondheim, Norway, ISBN 82-7119-968-4
[36] Tvergaard, V; Needleman, A, Effect of crack meandering on dynamic, ductile fracture, Int. J. mech. phys. solids, 40, 447-471, (1992)
[37] Zukas, J.A, High velocity impact dynamics, (1990), Wiley
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.