Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Introduction Read chapter Read first chapter

2018 | OriginalPaper | Chapter

2. Scientific Background

Author : Dr. Haoyun Tu

Published in: Numerical Simulation and Experimental Investigation of the Fracture Behaviour of an Electron Beam Welded Steel Joint

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Fracture is a problem which troubles structural engineers for centuries. People have been trying to answer when, where, and why the structures fail. Scientists have been trying to investigate the fracture mechanisms of complex components, e.g., the weldment, as the fracture behaviour of weldments influences the crack growth in structures which affects the lifetime and safety of the components.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Introduction
next chapter Characterization of Steel S355 Electron Beam Welded (EBW) Joints
Literature
T. L. Anderson, Fracture Mechanics: Fundamentals and Applications. 3rd edn. (CRC Press, 2005)
M. Anvari, I. Scheider, C. Thaulow, Simulation of dynamic ductile crack growth using strain-rate and triaxiality-dependent cohesive elements. Eng. Fract. Mech. 73, 2210–2228 (2006)CrossRef
ARAMIS, User manual—software, ARAMIS V6.1, GOM mbH, 2008
G.I. Barenblatt, The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7, 55–129 (1962)CrossRef
J. A. Begley, J. D. Landes, in Fracture Mechanics, The J-integral as a fracture criterion (ASTM STP 514 1972), pp. 1–23
F.M. Beremin, A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metall. Trans. A 14A, 2277–2287 (1983)CrossRef
J. Bishop, R. Hill, A theoretical derivation of the plastic properties of a polycrystalline face-centred metal. Phil. Mag. 42, 1298–1307 (1951)CrossRef
W. Brocks, Computational Fracture Mechanics, in Continuum Scale Simulation of Engineering Materials: Fundamentals—Microstructures—Process Applications, ed. by F. Roters, F. Barlat, L.Q. Chen (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, 2004)
P. Cambrésy, Damage and fracture mechanisms investigations of an aluminium laser beam weld. Dissertation, GKSS-Forschungszentrum Geesthacht, (2006)
G. Çam, M. Koçak, J.F. Dos Santos, Developments in laser welding of metallic materials and characterization of the joints. Weld. World 43, 13–26 (1999)
O. Chabanet, D. Steglich, J. Besson, V. Heitmann, D. Hellmann, W. Brocks, Predicting crack growth resistance of aluminium sheets. Comp. Mater. Sci. 26, 1–12 (2003)CrossRef
C.R. Chen, O. Kolednik, I. Scheider, T. Siegmund, A. Tatschl, F.D. Fischer, On the determination of the cohesive zone parameters for the modelling of microductile crack growth in thick specimens. Int. J. Fract. 120, 417–536 (2003)CrossRef
Y. Cheng, V. Altapova, L. Helfen, F. Xu, T. dos Santos Rolo, P. Vagovič, M. Fiederle, T. Baumbach, Multi-contrast computed laminography at ANKA light source. J. Phys: Conf. Ser. 463, 012038 (2013)
C.C. Chu, A. Needleman, Void nucleation effects in biaxially stretched sheets. J. Eng. Mater. Technol. 102, 249–256 (1980)CrossRef
P. Cloetens, R. Barrett, J. Baruchel, J.P. Guigay, M. Schlenker, Phase objects in synchrotron radiation hard x-ray imaging. J. Phys. D: Appl. Phys. 29, 133–146 (1996)CrossRef
A. Cornec, I. Scheider, K.-H. Schwalbe, On the practical application of the cohesive model. Eng. Fract. Mech. 70, 1963–1987 (2003)CrossRef
D.S. Dugdale, Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104 (1960)CrossRef
A.G. Franklin, Comparison between a quantitative microscope and chemical methods for assessment of non-metallic inclusions. J. Iron Steel Inst. 207, 181–186 (1969)
L. Graziani, M. Knećb, T. Sadowski, M.D. Orazio, S. Lenci, Measurement of R-curve in clay brick blocks using optical measuring technique. Eng. Fract. Mech. 121–122, 1–10 (2014)CrossRef
A.A. Griffith, The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. A 211, 163–198 (1920)
J.R. Griffiths, An elastic-plastic stress analysis for a notched bar in plane strain bending. J. Mech. Phys. Solids 19, 419–431 (1971)CrossRef
A.L. Gurson, Continuum theory of ductile rupture by void nucleation and growth, Part I—yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. 99, 2–15 (1977)CrossRef
L. Helfen, T. Baumbach, P. Pernot, P. Cloetens, H. Stanzick, K. Schladitz, J. Banhart, Investigation of pore initiation in metal foams by synchrotron-radiation tomography. Appl. Phys. Lett. 86, 231907-1–231907-3 (2005)
L. Helfen, A. Myagotin, P. Mikulik, P. Pernot, A. Voropaev, M. Elyyan, M. DiMichiel, J. Baruchel, T. Baumbach, On the implementation of computed laminography using synchrotron radiation. Rev. Sci. Instrum. 82, 063702-1–063702-8 (2011)CrossRef
A. Hillerborg, M. Modéer, P.-E. Petersson, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem. Conc. Res. 6, 773–782 (1976)CrossRef
Y. Huang, Accurate dilatation rates for spherical voids in triaxial stress fields. J. Appl. Mech. Trans. ASME 58, 1084–1086 (1991)CrossRef
J. Huang, S. Schmauder, U. Weber, S. Geier, Micromechanical modelling of the elastoplastic behaviour of nanodispersed elastomer particle-modified PA 6. Comp. Mater. Sci. 52, 107–111 (2011)CrossRef
G.R. Irwin, Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361–364 (1957)
S. Kou, Welding metallurgy, 2nd edn. (John Wiley & Sons. Inc., Hoboken, New Jersey, 2003)
K. Kussmaul, U. Eisele, M. Seidenfuss, in Fatigue & Fract Mech in Press Vess & Piping, ed. by Mehta, et al. On the Applicability of Local Approach Models for the Determination of the Failure Behaviour of Steels with Different Toughness, vol 304 (1995), pp. 17–25
L. Laiarinandrasana, T.F. Morgeneyer, H. Proudhon, F. N’guyen, E. Maire, Effect of multiaxial stress state on morphology and spatial distribution of voids in deformed semicrystalline polymer assessed by x-ray tomography. Macromolecules 45, 4658–4668 (2012)CrossRef
J. D. Landes, J. A. Begley, The J-Integral as a fracture criterion (ASTM STP 514, American Society for testing and Materials, Philadelphia, 1972), pp. 1–20
W. Li, T. Siegmund, An analysis of crack growth in thin-sheet metal via a cohesive zone model. Eng. Fract. Mech. 69, 2073–2093 (2002)CrossRef
G. Lin, A. Cornec, K.-H. Schwalbe, Three-dimensional finite element simulation of crack extension in aluminum alloy 2024-FC. Fatigue Fract. Eng. Mater. Struct. 21, 1159–1173 (1998)CrossRef
G. Lin, Numerical investigation of crack growth behaviour using a cohesive zone model. Ph.D. thesis, TU Hamburg-Harburg, Geesthacht, (1998)
G. Lin, X.-G. Meng, A. Cornec, K.-H. Schwalbe, The effect of strength mis-match on mechanical performance of weld joints. Int. J. Fract. 96, 37–54 (1999)CrossRef
A. Mohanta, Numerical determination of failure curves. Master thesis, University of Stuttgart, (2003)
T.F. Morgeneyer, J. Besson, H. Proudhon, M.J. Starink, I. Sinclair, Experimental and numerical analysis of toughness anisotropy in AA2139 Al-alloy sheet. Acta Mater. 57, 3902–3915 (2009)CrossRef
T.F. Morgeneyer, L. Helfen, H. Mubarak, F. Hild, 3D Digital Volume Correlation of Synchrotron Radiation Laminography images of ductile crack initiation: An initial feasibility study. Exp. Mech. 53, 543–556 (2013)CrossRef
A. Needleman, J. R, in Mechanics of Metal Sheet Forming, Rice, Limits to Ductility by Plastic Flow Localization, (1978), pp. 237–267
A. Needleman, A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. ASME 54, 525–531 (1987)CrossRef
A. Needleman, An analysis of decohesion along an imperfect interface. I J Fract 42, 21–40 (1990)CrossRef
A. Needleman, V. Tvergaard, A micromechanical analysis of ductile-brittle transition at a weld. Eng. Fract. Mech. 62, 317–338 (1999)CrossRef
P. Nègre, D. Steglich, W. Brocks, Numerical simulation of crack extension in aluminium welds. Comput. Mater. Sci. 28, 723–731 (2003)CrossRef
P. Nègre, D. Steglich, W. Brocks, Crack extension in aluminium welds: a numerical approach using the Gurson-Tvergaard-Needleman model. Eng. Fract. Mech. 71, 2365–2383 (2004)CrossRef
K.L. Nielsen, Ductile damage development in friction stir welded aluminum (AA2024) joints. Eng. Fract. Mech. 71, 2795–2811 (2008)CrossRef
A. Nonn, W. Dahl, W. Bleck, Numerical modelling of damage behaviour of laser-hybrid welds. Eng. Fract. Mech. 75, 3251–3263 (2008)CrossRef
K.A. Nugent, T.E. Gureyev, D.F. Cookson, D. Paganin, Z. Barnea, Phys. Rev. Lett. 77, 2961–2964 (1996)CrossRef
E. Østby, C. Thaulow, Z.L. Zhang, Numerical simulations of specimen size and mismatch effects in ductile crack growth—Part I: Tearing resistance and crack growth paths. Eng. Fract. Mech. 74, 1770–1792 (2007a)CrossRef
E. Østby, C. Thaulow, Z.L. Zhang, Numerical simulations of specimen size and mismatch effects in ductile crack growth - Part II: Near-tip stress fields. Eng. Fract. Mech. 74, 1793–1809 (2007b)CrossRef
D. Paganin, S.C. Mayo, T.E. Gureyev, P.R. Miller, S.W. Wilkins, Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object. J. Microsc. 206, 33–40 (2002)CrossRef
J.R. Rice, A path independent integral and the approximate analysis of strain concentrations by notches and cracks. J. Appl. Mech. 35, 379–386 (1968)CrossRef
J.R. Rice, D.M. Tracey, On the ductile enlargement of voids in triaxial stress fields. J. Mech. Phys. Solids 17, 201–217 (1969)CrossRef
F. Rivalin, A. Pineau, M. Di Fant, J. Besson, Ductile tearing of pipeline-steel wide plates: I. Dynamic and quasi-static experiments, Eng. Fract. Mech. 68, 329–345 (2001)
F. Rivalin, J. Besson, A. Pineau, M. Di Fant, Ductile tearing of pipeline-steel wide plates: II. Modeling of in-plane crack propagation. Eng. Fract. Mech. 68, 347–364 (2001)
G. Rousselier, Ductile fracture models and their potential in local approach of fracture. Nucl. Eng. Des. 105, 97–111 (1987)CrossRef
G. Rousselier, in Handbook of materials behaviour models, The Rousselier model for porous metal plasticity and ductile fracture. (2001), pp. 436–445
T. Sadowski, M. Knec, P. Golewski, Experimental investigations and numerical modelling of steel adhesive joints reinforced by rivets. Int. J. Adhes. Adhes. 30, 338–346 (2010)CrossRef
M.K. Samal, M. Seidenfuss, E. Roos, B.K. Dutta, H.S. Kushwaha, Finite element formulation of a new nonlocal damage model. Finite Elem. Anal. Des. 44, 358–371 (2008)CrossRef
M.K. Samal, M. Seidenfuss, E. Roos, A new mesh-independent Rousselier’s damage model: Finite element implementation and experimental verification. Int. J. Mech. Sci. 51, 619–630 (2009)CrossRef
J.F. Dos Santos, G. Çam, F. Torster, A. Insfran, S. Riekehr, V. Ventzke, Properties of power beam welded steel, Al-and Ti alloys: Significance of strength mismatch. Weld World 44, 42–64 (2000)
S. Schmauder, D. Uhlmann, G. Zies, Experimental and numerical investigations of two material states of the material 15NiCuMoNb5 (WB 36). Comp. Mater. Sci. 25, 174–192 (2002)CrossRef
S. Schmauder, L. J. Mishnaevsky, Micromechanics and Nanosimultion of Metals and Composites, ed. by S. Schmauder, L. J. Mishnaevsky (Springer-Verlag, Berlin, Heidelberg 2009), p. 420
K.-H. Schwalbe, I. Scheider, A. Cornec, SIAM CM09—The SIAM method for application cohesive models of the damage behaviour of engineering materials and structures. GKSS report, 2009/1, GKSS-Forschungszentrum Geesthacht, (2009)
I. Scheider, Bruchmechanische Bewertung von Laserschweißverbindungen durch numerische Rissfortschrittsimulation mit dem Kohäsivzonenmodell. Dissertation, TU Hamburg-Harburg, Geesthacht, (2001)
I. Scheider, W. Brocks, The effect of the traction separation law on the results of cohesive zone crack propagation analyses. Key Eng. Mater. 251–252, 313–318 (2003)CrossRef
Seib, Residual strength analysis of laser beam and friction stir welded aluminum panels for aerospace applications. Dissertation, TU Hamburg-Harburg, Geesthacht, (2006)
H. P. Seebich, Mikromechanisch basierte Schädigungsmodelle zur Beschreibung des Versagensablaufs ferritischer Bauteile. Dissertation, Universität Stuttgart, (2007)
M. Seidenfuss, Untersuchungen zur Beschreibung des Versagensverhaltens mit Hilfe von Schädigungsmodellen am Beispiel des Werkstoffs 20MnMoNi55. Dissertation, Universität Stuttgart, (1992)
Y. Shen, T.F. Morgeneyer, J. Garnier, L. Allais, L. Helfen, J. Crépin, Three-dimensional quantitative in situ study of crack initiation and propagation in AA6061 aluminum alloy sheets via synchrotron laminography and finite-element simulations. Acta Mater. 61, 2571–2582 (2013)CrossRef
T. Siegmund, A. Needleman, A numerical study of dynamic crack growth in elastic-viscoplastic solids. Int. J. Solids Struct. 34, 769–787 (1997)CrossRef
M. Springmann, M. Kuna, Identification of material parameters of the Gurson—Tvergaard—Needleman model by combined experimental and numerical techniques. Comp. Mater. Sci. 32, 544–552 (2005)CrossRef
B. Tanguy, T.T. Luu, G. Perrin, A. Pineau, J. Besson, Plastic and damage behaviour of a high strength X100 pipeline steel: Experiments and modeling. Int. J. Press. Vessels Piping 85, 322–335 (2008)CrossRef
H.Y. Tu, S. Schmauder, U. Weber, Y. Rudnik, V. Ploshikhin, Numerical simulation and experimental investigation of the damage behavior on electron beam welded joints. Procedia Eng. 10, 875–880 (2011)CrossRef
H.Y. Tu, S. Schmauder, U. Weber, Y. Rudnik, V. Ploshikhin, Simulation of the damage behavior of electron beam welded joints with the Rousselier model. Eng. Fract. Mech. 103, 153–161 (2013)CrossRef
H.Y. Tu, S. Schmauder, U. Weber, Simulation of the fracture behavior of an S355 electron beam welded joint by cohesive zone modeling. Eng. Fract. Mech. 163, 303–312 (2016)CrossRef
V. Tvergaard, On localization in ductile materials containing spherical voids. Int. J. Fract. 18, 237–252 (1982a)
V. Tvergaard, Influence of void nucleation on ductile shear fracture at a free surface. J. Mech. Phys. Solids 30, 399–425 (1982b)CrossRef
V. Tvergaard, A. Needleman, Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 38, 157–169 (1984)CrossRef
V. Tvergaard, On the analysis of ductile fracture mechanisms. Proc. Int. Conf. Fracture, ICF7 (1989), 159–179
V. Tvergaard, J.W. Hutchinson, The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J. Mech. Phys. Solids 40, 1377–1397 (1992)CrossRef
V. Tvergaard, A. Needleman, Analysis of the Charpy V-notch test for welds. Eng. Fract. Mech. 65, 627–643 (2000)CrossRef
V. Tvergaard, A. Needleman, 3D analyses of the effect of weld orientation in Charpy specimens. Eng. Fract. Mech. 71, 2179–2195 (2004)CrossRef
D. Uhlmann, Reactor Safety Research—Project No. 1501029: Material characterization of the material 15 NiCuMoNb 5 including the determination of the local approach parameter for the Rousselier model for two material states. Report-No: 878701004, MPA Stuttgart, (1999)
U. Weber, A. Mohanta, S. Schmauder, Numerical determination of parameterised failure curves for ductile structural materials. Int. J. Mat. Res. 98, 1071–1080 (2007)CrossRef
L. Xia, C.F. Shih, Ductile crack growth—III. Transition to cleavage fracture incorporating statistics. J. Mech. Phys. Solids 44, 603–639 (1996)CrossRef
F. Xu, L. Helfen, A.J. Moffat, G. Johnson, I. Sinclair, T. Baumbach, J. Synchrotron Radiat. 17, 222–226 (2010)CrossRef
H. Yuan, G. Lin, A. Cornec, Verification of a cohesive zone model for ductile fracture. J Eng. Mater. Technol. 118, 192–200 (1996)CrossRef
Z. L. Zhang, C. Thaulow, J. Odegard, A complete Gurson model approach for ductile fracture. Eng. Fract. Mech. 67, 155–168 (2000)
Metadata
Title
Scientific Background
Author
Dr. Haoyun Tu
Copyright Year
2018
Book
Numerical Simulation and Experimental Investigation of the Fracture Behaviour of an Electron Beam Welded Steel Joint

Print ISBN: 978-3-319-67276-2

Electronic ISBN: 978-3-319-67277-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-67277-9_2

Premium Partners

    Image Credits