Effect of hydrogen trapping on void growth and coalescence in metals and alloys

The hydrogen effect on void growth and coalescence is investigated by studying the deformation of a unit cell containing a spherical void in the presence of hydrogen. Hydrogen affects the mechanical response of the matrix material by softening the plastic response and by dilating the lattice. The intensity of these effects varies within the matrix material and depends on the amount of the local hydrogen concentration. The hydrogen concentration in the matrix is determined by assuming that hydrogen is in equilibrium with (a) local hydrostatic stress which dictates the amount of hydrogen accumulation in the stressed lattice relatively to the stress-free lattice and (b) local plastic strain which dictates the amount of hydrogen solute atoms trapped at dislocations. The coupled boundary value problem is solved by the finite element method. Numerical results for a niobium system indicate that hydrogen has no significant effect on void growth at all triaxialities when trapping is characterized by one hydrogen atom per atomic plane threaded by a dislocation. In contrast, when hydrogen solutes can be trapped by dislocations at larger amounts (e.g., 10 hydrogen atoms per atomic plane threaded by a dislocation), hydrogen was found to have a strong effect on the coalescence stage at small triaxialities (e.g., 1/3) and cause the link-up of voids. The acceleration of void coalescence serves as a mechanistic model to characterize the hydrogen-induced ductile rupture processes within the framework of the hydrogen-enhanced localized plasticity (HELP) mechanism for hydrogen embrittlement.

[1]  R. McMeeking,et al.  Void Growth in Elastic-Plastic Materials , 1989 .

[2]  Viggo Tvergaard,et al.  An analysis of ductile rupture in notched bars , 1984 .

[3]  W. Brocks,et al.  Application of the Gurson Model to Ductile Tearing Resistance , 1995 .

[4]  A. Needleman,et al.  Analysis of the cup-cone fracture in a round tensile bar , 1984 .

[5]  P. Sofronis,et al.  Micromechanics and numerical modelling of the hydrogen?particle?matrix interactions in nickel-base alloys , 2003 .

[6]  A. Gurson Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[7]  A. Pineau,et al.  Synergistic effects of plastic anisotropy and void coalescence on fracture mode in plane strain , 2002 .

[8]  V. Tvergaard Influence of voids on shear band instabilities under plane strain conditions , 1981 .

[9]  I. Bernstein,et al.  Hydrogen assisted ductile fracture of spheroidized carbon steels , 1981 .

[10]  V. Tvergaard Interaction of very small voids with larger voids , 1998 .

[11]  J. Toribio Effects of strain rate and notch geometry on hydrogen embrittlement of AISI type 316L austenitic stainless steel , 1991 .

[12]  A. Needleman A Continuum Model for Void Nucleation by Inclusion Debonding , 1987 .

[13]  S. Asano,et al.  The lattice hardening due to dissolved hydrogen in iron and steel , 1976 .

[14]  R. H. Dodds,et al.  Interaction of hydrogen with crack-tip plasticity: effects of constraint on void growth , 2004 .

[15]  Petros Athanasios Sofronis,et al.  Hydrogen-enhanced localized plasticity—a mechanism for hydrogen-related fracture , 1993 .

[16]  H. H. Johnson,et al.  Deep trapping states for hydrogen in deformed iron , 1980 .

[17]  Petros Athanasios Sofronis,et al.  On hydrogen-induced plastic flow localization during void growth and coalescence , 2007 .

[18]  C. Altstetter,et al.  Hydrogen-induced strain localization and failure of austenitic stainless steels at high hydrogen concentrations , 1991 .

[19]  E. Haller,et al.  Hydrogen interactions with defects in crystalline solids , 1992 .

[20]  P. Sofronis,et al.  5737 - A COUPLED DISLOCATION-HYDROGEN BASED MODEL OF INELASTIC DEFORMATION , 2005 .

[21]  A. Thompson,et al.  The effect of hydrogen on the fracture of alloy x-750 , 1996 .

[22]  H. Matsui,et al.  The effect of hydrogen on the mechanical properties of high purity iron III. The dependence of softening in specimen size and charging current density , 1979 .

[23]  A. Thompson,et al.  Hydrogen-Assisted ductile fracture in spheroidized 1520 Steel: Part I. axisymmetric tension , 1990 .

[24]  G. Smith,et al.  The Effect of Hydrogen on the Deformation and Fracture of Polycrystalline Nickel , 1970 .

[25]  Jacques Besson,et al.  Anisotropic ductile fracture: Part II: theory , 2004 .

[26]  R. A. Oriani,et al.  The diffusion and trapping of hydrogen in steel , 1970 .

[27]  R. A. Oriani,et al.  Hydrogen-enhanced load relaxation in a deformed medium-carbon steel☆ , 1979 .

[28]  Yonggang Huang,et al.  Accurate Dilatation Rates for Spherical Voids in Triaxial Stress Fields , 1991 .

[29]  John W. Hutchinson,et al.  Void Growth in Plastic Solids , 1992 .

[30]  R. Asaro,et al.  Hydrogen assisted fracture of spheroidized plain carbon steels , 1981 .

[31]  Thomas Pardoen,et al.  An extended model for void growth and coalescence - application to anisotropic ductile fracture , 2000 .

[32]  C. Shih,et al.  Ductile crack growth-I. A numerical study using computational cells with microstructurally-based length scales , 1995 .

[33]  H. Birnbaum,et al.  The effect of hydrogen on the solid solution strengthening and softening of nickel , 1982 .

[34]  I. Bernstein,et al.  Effect of hydrogen on ductile fracture of spheroidized steel , 1976 .

[35]  HVEM studies of the effects of hydrogen on the deformation and fracture of AISI type 316 austenitic stainless steel , 1990 .

[36]  G. M. Bond,et al.  The influence of hydrogen on deformation and fracture processes in high-strength aluminum alloys , 1987 .

[37]  C. D. Beachem,et al.  A new model for hydrogen-assisted cracking (hydrogen “embrittlement”) , 1972 .

[38]  B. Carnahan,et al.  HYDROGEN ADSORPTION AT DISLOCATIONS AND CRACKS IN Fe , 1978 .

[39]  Viggo Tvergaard,et al.  VOID GROWTH AND FAILURE IN NOTCHED BARS , 1988 .

[40]  Direct observations of hydrogen enhanced crack propagation in iron , 1984 .

[41]  Jacques Besson,et al.  Plastic potentials for anisotropic porous solids , 2001 .

[42]  M. Zaidman,et al.  Constitutive models for porous materials with evolving microstructure , 1994 .

[43]  Petros Athanasios Sofronis,et al.  On the effect of hydrogen on plastic instabilities in metals , 2003 .

[44]  J. Hutchinson,et al.  The relation between crack growth resistance and fracture process parameters in elastic-plastic solids , 1992 .

[45]  R. Gibala,et al.  Hydrogen embrittlement and stress corrosion cracking , 1984 .

[46]  P. Sofronis,et al.  Mechanics of the hydrogendashdislocationdashimpurity interactions-I. Increasing shear modulus , 1995 .

[47]  T. Siegmund,et al.  Prediction of the Work of Separation and Implications to Modeling , 1999 .

[48]  Douglas J. Bammann,et al.  A model of crystal plasticity containing a natural length scale , 2001 .

[49]  Petros Athanasios Sofronis,et al.  Hydrogen induced shear localization of the plastic flow in metals and alloys , 2001 .

[50]  H. Birnbaum,et al.  Direct observations of the effect of hydrogen on the behavior of dislocations in iron , 1983 .

[51]  D. Symons The effect of carbide precipitation on the hydrogen-enhanced fracture behavior of alloy 690 , 1998 .

[52]  I. M. Robertson,et al.  In situ observations on effects of hydrogen on deformation and fracture of A533B pressure vessel steel , 1993 .

[53]  H. Matsui,et al.  The effect of hydrogen on the mechanical properties of high purity iron II. Effect of quenched-in hydrogen below room temperature , 1979 .

[54]  Alan Needleman,et al.  Void growth and coalescence in porous plastic solids , 1988 .

[55]  G. M. Bond,et al.  Effects of hydrogen on deformation and fracture processes in high-ourity aluminium , 1988 .

[56]  J. Hirth,et al.  Effect of hydrogen on fracture of U-notched bend specimens of spheroidized AISI 1095 steel , 1979 .

[57]  R. Asaro,et al.  The role of hydrogen in the ductile fracture of plain carbon steels , 1979 .

[58]  H. Birnbaum,et al.  Hydrogen Effects in Nickel-Embrittlement or Enhanced Ductility. , 1980 .

[59]  W. Brocks,et al.  Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials , 1995 .

[60]  V. Tvergaard On localization in ductile materials containing spherical voids , 1982, International Journal of Fracture.

[61]  H. Peisl,et al.  Lattice strains due to hydrogen in metals , 1978 .

[62]  John W. Hutchinson,et al.  A computational approach to ductile crack growth under large scale yielding conditions , 1995 .

[63]  Claudio Ruggieri,et al.  Numerical modeling of ductile crack growth in 3-D using computational cell elements , 1996 .

[64]  H. Birnbaum,et al.  Hydrogen embrittlement of α titanium: In situ tem studies , 1988 .

[65]  A. S. Argon,et al.  Topics in fracture and fatigue , 1992 .

[66]  D. Abraham,et al.  The effect of hydrogen on the yield and flow stress of an austenitic stainless steel , 1995 .

[67]  O. A. Onyewuenyi,et al.  Effects of hydrogen on notch ductility and fracture in spheroidized AISI 1090 steel , 1983 .

[68]  F. A. McClintock,et al.  A Criterion for Ductile Fracture by the Growth of Holes , 1968 .

[69]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[70]  Pierre Suquet,et al.  Continuum Micromechanics , 1997, Encyclopedia of Continuum Mechanics.

[71]  A. Needleman Void Growth in an Elastic-Plastic Medium , 1972 .

[72]  R. A. Oriani,et al.  Hydrogen-enhanced nucleation of microcavities in aisi 1045 steel , 1979 .

[73]  Alan Needleman,et al.  Void nucleation effects on shear localization in porous plastic solids , 1982 .

[74]  T. Siegmund,et al.  A numerical study on the correlation between the work of separation and the dissipation rate in ductile fracture , 2000 .

[75]  J. Hirth,et al.  Effect of hydrogen on fracture of U-notched bend specimens of quenched and tempered AISI 4340 steel , 1979 .

[76]  J. Hirth,et al.  Hydrogen and Plastic Instability in Deformed Spheroidized 1090 Steel , 2013 .

[77]  Mark F. Horstemeyer,et al.  Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence , 2000 .

[78]  Ian M. Robertson,et al.  The effect of hydrogen on dislocation dynamics , 1999 .

[79]  N. Fleck,et al.  Void growth in shear , 1986, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[80]  H. Matsui,et al.  The effect of hydrogen on the mechanical properties of high purity iron I. Softening and hardening of high purity iron by hydrogen charging during tensile deformation , 1979 .

[81]  P. Sofronis,et al.  Toward a phenomenological description of hydrogen-induced decohesion at particle/matrix interfaces , 2003 .

[82]  Jean-Baptiste Leblond,et al.  Recent extensions of Gurson's model for porous ductile metals , 1997 .

[83]  H. Birnbaum,et al.  An HVEM study of hydrogen effects on the deformation and fracture of nickel , 1986 .

[84]  H. Birnbaum,et al.  Effects of hydrogen and carbon on thermally activated deformation in nickel , 1992 .

[85]  Robert M. McMeeking,et al.  Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture , 1977 .

[86]  H. Birnbaum,et al.  The effects of hydrogen on the deformation and fracture of β-titanium , 2001 .

[87]  O. P. Søvik,et al.  Growth of spheroidal voids in elastic-plastic solids , 1997 .

[88]  Henry Eyring,et al.  Hydrogen in metals , 1948 .

[89]  Robert H. Dodds,et al.  Modeling of hydrogen-assisted ductile crack propagation in metals and alloys , 2007 .

[90]  Hiroyasu Yamamoto Conditions for shear localization in the ductile fracture of void-containing materials , 1978 .