A three-dimensional multiscale model of intergranular hydrogen-assisted cracking

References

• Serebrinsky , S , Carter , EA and Ortiz , M . 2004 . J. Mech. Phys. Solids , 52 : 2403
   Web of Science ®Google Scholar
• Gangloff , RP and Ives , MB . 1990 . First International Conference on Environment-Induced Cracking of Metals, NACE-10 Houston, TX
   Google Scholar
• Turnbull , A . 1993 . Corros. Sci. , 34 : 921
   Web of Science ®Google Scholar
• Jones , RH . 2001 . Chemistry and Electrochemistry of Corrosion and Stress Corrosion Cracking: A Symposium Honoring the Contributions of R.W. Staehle , PA : Warrendale .
   Google Scholar
• Sofronis , P . 2001 . Eng. Fract. Mech. , 68 : 617
   Web of Science ®Google Scholar
• Kerns , GE , Wang , MT and Staehle , RW . 1977 . “ Stress corrosion cracking and hydrogen embrittlement in high strength steels ” . In Stress Corrosion Cracking and Hydrogen Embrittlement of Iron Based Alloys, NACE-5 , Edited by: Staehle , RW , Hochmann , J , McCright , RD and Slater , JE . 700 TX : Houston .
   Google Scholar
• Marsh , PG and Gerberich , WW . 1992 . “ Stress corrosion cracking of high-strength steels ” . In Stress-Corrosion Cracking , Edited by: Jones , RH . 63 Materials Park, OH : ASM International .
   Google Scholar
• Völkl , J and Alefeld , G . 1978 . “ Hydrogen in Metals–Basic Properties ” . In Topics in Applied Physics , Vol. 28 , Berlin : Springer-Verlag .
   Google Scholar
• Fukai , Y . 1993 . The Metal–Hydrogen System: Basic Bulk Properties , Berlin : Springer-Verlag .
   Google Scholar
• Sofronis , P and McMeeking , RM . 1989 . J. Mech. Phys. Solids , 37 : 317
   Web of Science ®Google Scholar
• Turnbull , A , Ferriss , DH and Anzai , H . 1996 . Mat. Sci. Eng. A , 206 : 1
   Web of Science ®Google Scholar
• Turnbull , A . 2001 . Corrosion , 57 : 175
   Web of Science ®Google Scholar
• H.K. Birnbaum, Mechanisms of hydrogen-related fracture of metals, in First International Conference on Environment-Induced Cracking of Metals, NACE-10, R.P. Gangloff and M.B. Ives, eds., Houston, TX, 1990, p. 21.
   Google Scholar
• Westlake , DG . 1969 . Trans. ASM , 62 : 1000
   Google Scholar
• Nelson , HG . 1976 . Metall. Trans. A , 7A : 621
   Google Scholar
• R.A. Oriani, Hydrogen effects in high-strength steels, in First International Conference on Environment-Induced Cracking of Metals, NACE-10, R.P. Gangloff and M.B. Ives, eds., Houston, TX, 1990, p.439.
   Google Scholar
• Beachem , CD . 1972 . Metall. Trans. , 3 : 437
   Web of Science ®Google Scholar
• Birnbaum , HK and Sofronis , P . 1994 . Mat. Sci. Eng. A , 176A : 191
   Google Scholar
• Troiano , AR . 1960 . Trans. ASM , 52 : 54
   Google Scholar
• Oriani , RA . 1972 . Berichte der Bunsengesellschraft für Physikalische Chemie , 76 : 848
   Google Scholar
• Oriani , RA and Josephic , PH . 1977 . Acta Metall. , 25 : 979
   Google Scholar
• Hirose , Y and Mura , T . 1984 . Eng. Fract. Mech. , 19 : 317
   Web of Science ®Google Scholar
• Hirose , Y and Mura , T . 1984 . Eng. Fract. Mech. , 19 : 1057
   Web of Science ®Google Scholar
• Jiang , DE and Carter , EA . 2004 . Acta Mater. , 52 : 4801
   Web of Science ®Google Scholar
• Hatcher , A . 2002 . Algebraic Topology , Cambridge : Cambridge University Press .
   Google Scholar
• Barmak , K , Kinderlehrer , D , Livshits , I and Ta'asan , S . 2006 . “ Remarks on a multiscale approach to grain growth in polycrystals ” . In Progress in Nonlinear Differential Equations and Their Applications Variational Problems in Materials Science , Edited by: dal Maso , G , de Simone , A and Omarelli , F . 1 Basel : Birkäuser .
   Google Scholar
• Barmak , K , Emelianenko , M , Golovaty , D , Kinderlehrer , D and Ta'asan , S . 2008 . SIAM J. Sci. Comput. , 30 : 3150
   Web of Science ®Google Scholar
• Groeber , M , Ghoshb , A , Uchicc , MD and Dimiduk , DM . 2008 . Acta Mater. , 56 : 1257
   Web of Science ®Google Scholar
• Rohrr , GS , Gruber , J and Rollett , AD . 2009 . “ Distributions in polycrystalline materials ” . In Materials Processing and Texture , Edited by: Rollett , AD . 343 Hoboken, NJ : John Wiley .
   Google Scholar
• Military Handbook 5H: Metallic Materials and Elements for Aerospace Vehicle Structures, US Department of Defense, 1998
   Google Scholar
• Ortiz , M and Popov , EP . 1985 . Internat. J. Numer. Meth. Eng. , 21 : 1561
   Web of Science ®Google Scholar
• Ortiz , M and Stainier , L . 1999 . Comput. Meth. Appl. Mech. Eng. , 171 : 419
   Web of Science ®Google Scholar
• Fisher , JC . 1951 . J. Appl. Phys. , 22 : 74
   Web of Science ®Google Scholar
• Mishin , Y and Herzig , C . 1999 . Mater. Sci. Eng. A , 260 : 55
   Web of Science ®Google Scholar
• Atkinson , A . 1990 . J. Chem. Soc. Faraday Trans. , 86 : 1307
   Google Scholar
• Harrison , LG . 1961 . Trans. Faraday Soc. , 57 : 1191
   Google Scholar
• Van Duin , ACT and Goddard , WA III . 2008 . Private communication: Unpublished calculations carried out under Army Research Office award W911NF-06-0421 ,
   Google Scholar
• Van Duin , ACT and Larter , SR . 1998 . Organ. Geochem. , 29 : 043
   Google Scholar
• Van Duin , ACT , Merinov , BV , Han , SS and Goddard , WA III . 2008 . J. Phys. Chem. A , 112 : 3133
   PubMed Web of Science ®Google Scholar
• Van Duin , ACT , Merinov , BV , Han , SS , Dorso , CO and Goddard , WA III . 2008 . J. Phys. Chem. A , 112 : 11414
   PubMed Web of Science ®Google Scholar
• Balluffi , RW , Allen , SM and Carter , WC . 2005 . Kinetics of Materials , Hoboken, NJ : Wiley-Interscience .
   Google Scholar
• Galvele , JR . 1981 . Corros. Sci. , 21 : 551
   Web of Science ®Google Scholar
• Sharland , SM and Tasker , PW . 1988 . Corros. Sci. , 28 : 603
   Web of Science ®Google Scholar
• Nguyen , OT . 2000 . “ Cohesive models of fatigue crack growth and stress-corrosion cracking ” . In PhD thesis , Pasadena, CA : California Institute of Technology .
   Google Scholar
• Lu , M , Pao , PS , Weir , TW , Simmons , GW and Wei , RP . 1981 . Metall. Trans. A , 12A : 805
   Web of Science ®Google Scholar
• Rose , JH , Smith , JR , Guinea , F and Ferrante , J . 1984 . Phys. Rev. B , 29 : 2963
   Web of Science ®Google Scholar
• van der Ven , A and Ceder , G . 2003 . Phys. Rev. B , 67 : 060101-1-4
   Google Scholar
• Ortiz , M and Pandolfi , A . 1999 . Internat. J. Numer. Meth. Eng. , 44 : 1267
   Web of Science ®Google Scholar
• Camacho , GT and Ortiz , M . 1996 . Internat. J. Solids Struct. , 33 : 2899
   Web of Science ®Google Scholar
• Nguyen , O and Ortiz , M . 2002 . J. Mech. Phys. Solids , 50 : 1727
   Web of Science ®Google Scholar
• Beachem , CD . 1972 . Metall. Mater. Trans. B , 3 : 441
   Google Scholar
• Chapelle , D and Bathe , KJ . 1993 . Comput. Struct. , 47 : 537
   Web of Science ®Google Scholar
• Felippa , CA , Park , KC and Farhat , C . 2001 . Comput. Meth. Appl. Mech. Eng. , 190 : 3247
   Web of Science ®Google Scholar
• Underwood , P . 1983 . “ Dynamic relaxation ” . In Computational Methods for Transient Analysis , Edited by: Belytschko , T and Hughes , TJR . 246 New York : Elsevier Science .
   Google Scholar
• Oakley , DR and Knight , NF . 1995 . Comput. Meth. Appl. Mech. Eng. , 126 : 67
   Web of Science ®Google Scholar
• Hirose , Y and Mura , T . 1984 . Eng. Fract. Mech. , 19 : 1057
   Web of Science ®Google Scholar
• Simmons , GW , Pao , PS and Wei , RP . 1978 . Met. Trans. A , 9A : 1147
   Web of Science ®Google Scholar
• Colangelo , VJ and Ferguson , MS . 1969 . Corrosion , 25 : 509 12
   Web of Science ®Google Scholar
• Lisagor , WB . 1984 . “ Influence of precracked specimen configuration and starting stress intensity on the stress corrosion cracking of 4340 steel ” . In Environment-Sensitive Fracture–Evaluation and Comparison of Test Methods , Edited by: Dean , SW , Pugh , EN and Ugiansky , GM . 80 ASTM Philadelphia, PA : ASTM–STP 821 .
   Google Scholar