Abstract
Selected issues arising in the continuum mechanics analysis of instability and fracture in ductile metals are discussed. Three topics are considered: (i) the role of material rate dependence in setting the character of governing equations, (ii) deformation and failure in porous plastic solids and (iii) the direct calculation of fracture toughness from an analysis of the microscale ductile fracture mechanism.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.R. Rice, The Localization of Plastic Deformation, Proc. 14th Int. Congr. Theoret. Appl. Mech., ed. V.T. Boiter, North-Holland, 207, (1977).
A. Needleman and V. Tvergaard, Finite Element Analysis of Localization in Plasticity, in Finite Elements - Special Problems in Solid Mechanics, ed. J.T. Oden and G.F. Carey, Prentice-Hall, 94, (1983).
D.D. Joseph and J.C. Sault, Change of Type and Loss of Evolution in the Flow of Viscoelastic Fluids, J. Non-Newt. Fluid Mech., 20, 117, (1986).
H. Aref, Finger, Bubble, Tendril, Spike. An Essay on the Morphology and Dynamics of Interfaces in Fluids, Polish Acad. Sci. Fluid Dyn. Trans., (1986), also Univ. Cal. San Diego Preprint.
K.E. Puttick, Ductile Fracture in Metals, Phil. Mag. Ser. 8, 4, 964, (1960).
A.L. Gurson, Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth and Interaction, Ph.D Thesis, Brown University, (1975).
T. Guennouni and D. François, Constitutive Equations for Rigid Plastic or ViscoplasticMaterials Containing Voids, Fatig. Fract. Eng. Mater. Struct., 10, 399, (1987).
V. Tvergaard, Material Failure by Void Growth to Coalescence, Adv. Appl. Mech., in press.
V. Tvergaard and A. Needleman, Analysis of the Cup-Cone Fracture ina Round Tensile Bar, Acta Metall., 32, 157, (1984).
R. Becker and A. Needleman, Effect of Yield Surface Curvature on Necking and Failure in Porous Plastic Solids, J. Appl. Mech., 108, 491, (1986).
A. Needleman. and V. Tvergaard, An Analysis of Ductile Rupture Modesat a CrackTip, J. Mech. Phys. Solids, 35, 151, (1987).
R. Becker, R. Needleman, O. Richmond and V. Tvergaard, Void Growth and Failure in Notched Bars, J. Mech. Phys. Solids, 36, 317, (1988).
R. Becker,A. Needleman, S. Suresh, V. Tvergaard and V.K. Vasudevan, An Analysis of Ductile Failure by Grain Boundary Void Growth, Acta Metall., 37, 99, (1989).
A. Needleman and A.S. Kushner, An Analysis of Void Distribution Effects on Plastic Flow in Porous Solids, Europ. J. Mech., in press.
J.J. Hadamard, Leçons sur la Propagation des Ondeset les Equations de L’Hydrodynamique, Librairie Scientifique A. Hermann, Paris, (1903).
Z.P. Bazant, T. Belytschko and T.P. Chang, Continuum Theory for Strain-Softening, J. Engng. Mech. ASCE, 110, 1666, (1984).
N. Triantafyllidis and E.C. Aifantis, A Gradient Approach to Localization of Deformation I. Hyperelastic Materials, J. Elast., 16, 225, (1986).
A. Needleman, Material Rate Dependence and Mesh Sensitivityin Localization Problems, Comp. Meths. Appl. Mech. Eng., 67, 69, (1988).
A. Needleman, Continuum Mechanics Studies of Plastic Instabilities, Rev. de Phys. Apliqu., 23, 585, (1988).
F.H. Wu and L.B. Freund, Deformation Trapping due to Thermoplastic Instability in One-Dimensional Wave Propagation, J. Mech. Phys. Solids, 32, 119, (1984).
V. Tvergaard, Influence of Voids on Shear Band Instabilities under Plane Strain Conditions, Int. J. Fract., 17, 389, (1981).
G.R. Speich and W.A. Spitzig, Effect of Volume Fraction and Shape of Sulfide Inclusions on Through-ThicknessDuctility and Impact Energy of High-Strength 4340Plate Steels,, Metall. Trans., 13A, 2239, (1982).
J. Koplik and A. Needleman, Void Growth and Coalescence in Porous Plastic Solids, Int. J. Solids Struct., 24, 835, (1988).
E.M. Dubensky and D.A. Koss, Void/Pore Distributions and Ductile Fracture, Met. Trans., 18A, 1887, (1987).
R. Becker, TheEffect of Porosity Distribution on Failure, J. Mech. Phys. Solids, 35, 577, (1987).
P.M. Suquet, Elements of Homogenization for Inelastic Solid Mechanicsin Homogenization Techniques for CompositeMedia, ed. E. Sanchez-Palencia and A. Zaoui, Lecture Notes in Physics 272, Springer-Verlag, 193, (1986).
J.R. Rice, Elastic-Plastic Fracture Mechanicsin The Mechanics of Fracture, ed. F. Erdogan, AMD Vol. 19, ASME, 23, (1976).
J.W. Hutchinson, Nonlinear Fracture Mechanics, Department of Solid Mechanics, The Technical University of Denmark, (1979).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Plenum Press, New York
About this chapter
Cite this chapter
Needleman, A. (1990). Damage Evolution, Instability and Fracture in Ductile Solids. In: Charmet, J.C., Roux, S., Guyon, E. (eds) Disorder and Fracture. NATO ASI Series, vol 204. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6864-3_13
Download citation
DOI: https://doi.org/10.1007/978-1-4615-6864-3_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-43576-8
Online ISBN: 978-1-4615-6864-3
eBook Packages: Springer Book Archive