Skip to main content
Top

2013 | OriginalPaper | Chapter

8. Numerical Simulation of Crack Propagation

Author : Meinhard Kuna

Published in: Finite Elements in Fracture Mechanics

Publisher: Springer Netherlands

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

search-config
loading …

Abstract

Prediction of the crack propagation process is of great importance for many fracture mechanical issues.

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!

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Dhondt G (1998) Cutting of a 3-D finite element mesh for automatic mode I crack propagation calculations. Int J Numer Meth Eng 42:749–772MATHCrossRef Dhondt G (1998) Cutting of a 3-D finite element mesh for automatic mode I crack propagation calculations. Int J Numer Meth Eng 42:749–772MATHCrossRef
2.
go back to reference Mishnaevsky L, Weber U, Schmauder S (2004) Numerical analysis of the effect of microstructures of particle-reinforced metallic materials on the crack growth and fracture resistance. Int J Fract 125:33–50MATHCrossRef Mishnaevsky L, Weber U, Schmauder S (2004) Numerical analysis of the effect of microstructures of particle-reinforced metallic materials on the crack growth and fracture resistance. Int J Fract 125:33–50MATHCrossRef
3.
go back to reference Bazant ZP, Oh BH (1983) Crack band theory for fracture and concrete. Mater Struct 16:155–177 Bazant ZP, Oh BH (1983) Crack band theory for fracture and concrete. Mater Struct 16:155–177
4.
go back to reference deBorst R (2002) Fracture in quasi-brittle materials: a review of continuum damage-based approaches. Eng Fract Mech 69:95–112 deBorst R (2002) Fracture in quasi-brittle materials: a review of continuum damage-based approaches. Eng Fract Mech 69:95–112
5.
go back to reference Hillerborg A, Rots JG (1989) Crack concepts and numerical modelling. In: Elfgren L (ed) Fracture mechanics of concrete structures. Chapman & Hall, London, New York, pp 128–146 Hillerborg A, Rots JG (1989) Crack concepts and numerical modelling. In: Elfgren L (ed) Fracture mechanics of concrete structures. Chapman & Hall, London, New York, pp 128–146
6.
go back to reference Nishioka T, Atluri SN (1980) Numerical modeling of dynamic crack propagation in finite bodies by moving singular elements. J Appl Mech 47:570–582MathSciNetMATHCrossRef Nishioka T, Atluri SN (1980) Numerical modeling of dynamic crack propagation in finite bodies by moving singular elements. J Appl Mech 47:570–582MathSciNetMATHCrossRef
7.
go back to reference Murthy KSRK, Mukhopadhyay M (2000) Adaptive finite element analysis of mixed-mode crack problems with automatic mesh generator. Int J Numer Meth Eng 49:1087–1100MATHCrossRef Murthy KSRK, Mukhopadhyay M (2000) Adaptive finite element analysis of mixed-mode crack problems with automatic mesh generator. Int J Numer Meth Eng 49:1087–1100MATHCrossRef
8.
go back to reference Nishioka T, Furutsuka J, Tchouikov S, Fujimoto T (2002) Generation-phase simulation of dynamic crack bifurcation phenomenon using moving finite element method based on Delaunay automatic triangulation. Comput Model Eng Simul 3:129–145 Nishioka T, Furutsuka J, Tchouikov S, Fujimoto T (2002) Generation-phase simulation of dynamic crack bifurcation phenomenon using moving finite element method based on Delaunay automatic triangulation. Comput Model Eng Simul 3:129–145
9.
go back to reference Zienkiewicz OC, Taylor RL, Zhu JZ (2005) The finite element method: its basis and fundamentals, vol 1. Elsevier, AmsterdamMATH Zienkiewicz OC, Taylor RL, Zhu JZ (2005) The finite element method: its basis and fundamentals, vol 1. Elsevier, AmsterdamMATH
10.
go back to reference Schöllmann M, Fulland M, Richard HA (2003) Development of a new software for adaptive crack growth simulations in 3D structures. Eng Fract Mech 70:249–268 Schöllmann M, Fulland M, Richard HA (2003) Development of a new software for adaptive crack growth simulations in 3D structures. Eng Fract Mech 70:249–268
11.
12.
go back to reference Meyer A, Rabold F, Scherzer M (2006) Efficient finite element simulation of crack propagation using adaptive iterative solvers. Commun Numer Methods Eng 22:93–108MathSciNetMATHCrossRef Meyer A, Rabold F, Scherzer M (2006) Efficient finite element simulation of crack propagation using adaptive iterative solvers. Commun Numer Methods Eng 22:93–108MathSciNetMATHCrossRef
13.
14.
go back to reference Dugdale D (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8:100–104CrossRef Dugdale D (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8:100–104CrossRef
15.
go back to reference Needleman A (1987) A continuum model for void nucleation by inclusion debonding. J Appl Mech 54:525–531MATHCrossRef Needleman A (1987) A continuum model for void nucleation by inclusion debonding. J Appl Mech 54:525–531MATHCrossRef
16.
go back to reference Brocks W, Cornec A (2003) Cohesive models—special issue. Eng Fract Mech 70(14):1741–1986CrossRef Brocks W, Cornec A (2003) Cohesive models—special issue. Eng Fract Mech 70(14):1741–1986CrossRef
17.
go back to reference Brocks W, Cornec A, Scheider I (2003) Computational aspects of nonlinear fracture mechanics. In: Milne I, Ritchie RO, Karihaloo B (eds) Comprehensive structural integrity—numerical and computational methods, vol 3. Elsevier, Oxford, pp 127–209CrossRef Brocks W, Cornec A, Scheider I (2003) Computational aspects of nonlinear fracture mechanics. In: Milne I, Ritchie RO, Karihaloo B (eds) Comprehensive structural integrity—numerical and computational methods, vol 3. Elsevier, Oxford, pp 127–209CrossRef
18.
go back to reference Rose JH, Ferrante J, Smith JR (1981) Universal binding energy curves for metals and bimetallic interfaces. Phys Rev Lett 47:675–678CrossRef Rose JH, Ferrante J, Smith JR (1981) Universal binding energy curves for metals and bimetallic interfaces. Phys Rev Lett 47:675–678CrossRef
19.
go back to reference Needleman A (1990) An analysis of tensile decohesion along an imperfect interface. Int J Fract 42:21–40CrossRef Needleman A (1990) An analysis of tensile decohesion along an imperfect interface. Int J Fract 42:21–40CrossRef
20.
go back to reference Tvergaard V, Hutchinson JW (1992) The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 40:1377–1397MATHCrossRef Tvergaard V, Hutchinson JW (1992) The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 40:1377–1397MATHCrossRef
21.
go back to reference Scheider, I (2001) Bruchmechanische Bewertung von Laserschweißverbindungen durch numerische Rissfortschrittsimulation mit dem Kohäsivzonenmodell. Ph.D. thesis, Technische Universität Hamburg Scheider, I (2001) Bruchmechanische Bewertung von Laserschweißverbindungen durch numerische Rissfortschrittsimulation mit dem Kohäsivzonenmodell. Ph.D. thesis, Technische Universität Hamburg
22.
go back to reference Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6:773–782CrossRef Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6:773–782CrossRef
23.
go back to reference Bazant ZP (1993) Current status and advances in the theory of creep and interaction with fracture. In: Bazant ZP, Ignacio CC (eds) Proceedings of the 5th international RILEM symposium on creep and shrinkage of concrete, Chapman & Hall, Barcelona, pp 291–307 Bazant ZP (1993) Current status and advances in the theory of creep and interaction with fracture. In: Bazant ZP, Ignacio CC (eds) Proceedings of the 5th international RILEM symposium on creep and shrinkage of concrete, Chapman & Hall, Barcelona, pp 291–307
24.
go back to reference Xu X, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42:1397–1434MATHCrossRef Xu X, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42:1397–1434MATHCrossRef
25.
go back to reference Ortis M, Pandolfi A (1999) Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Numer Methods Eng 44:1267–1282CrossRef Ortis M, Pandolfi A (1999) Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Numer Methods Eng 44:1267–1282CrossRef
26.
go back to reference Schwalbe KH, Scheider I, Cornec A (2013) Guidelines for applying cohesive models to the damage behaviour of engineering materials. Springer, Heidelberg Schwalbe KH, Scheider I, Cornec A (2013) Guidelines for applying cohesive models to the damage behaviour of engineering materials. Springer, Heidelberg
27.
go back to reference Rousselier G (1987) Ductile fracture models and their potential in local approach of fracture. Nucl Eng Des 105:97–111CrossRef Rousselier G (1987) Ductile fracture models and their potential in local approach of fracture. Nucl Eng Des 105:97–111CrossRef
28.
go back to reference Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: Part I—Yield criteria and flow rules for porous ductile materials. J Eng Mater Technol 99:2–15CrossRef Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: Part I—Yield criteria and flow rules for porous ductile materials. J Eng Mater Technol 99:2–15CrossRef
29.
go back to reference Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32(1):157–169CrossRef Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32(1):157–169CrossRef
30.
go back to reference Richard HA, Sander M, Kullmer G, Fulland M (2004) Finite-Elemente-Simulation im Vergleich zur Realität—Spannungsanalytische und bruchmechanische Untersuchungen zum ICE-Radreifenbruch. Materialprüfung 46:441–448 Richard HA, Sander M, Kullmer G, Fulland M (2004) Finite-Elemente-Simulation im Vergleich zur Realität—Spannungsanalytische und bruchmechanische Untersuchungen zum ICE-Radreifenbruch. Materialprüfung 46:441–448
31.
go back to reference ESIS P2 (1992) Procedure for determining the fracture behaviour of materials. Technical report, European Structural Integrity Society ESIS P2 (1992) Procedure for determining the fracture behaviour of materials. Technical report, European Structural Integrity Society
32.
go back to reference Abendroth M (2005) Identifikation elastoplastischer und schädigungsmechanischer Materialparameter aus dem Small Punch Test. Ph.D. thesis, TU Bergakademie Freiberg Abendroth M (2005) Identifikation elastoplastischer und schädigungsmechanischer Materialparameter aus dem Small Punch Test. Ph.D. thesis, TU Bergakademie Freiberg
33.
go back to reference Abendroth M, Kuna M (2006) Identification of ductile damage and fracture parameters from the small punch test using neural networks. Eng Fract Mech 73:710–725CrossRef Abendroth M, Kuna M (2006) Identification of ductile damage and fracture parameters from the small punch test using neural networks. Eng Fract Mech 73:710–725CrossRef
34.
go back to reference Klingbeil D, Brocks W, Fricke S, Arndt S, Reusch F, Kiyak Y (1998) Verifikation von Schädigungsmodellen zur Vorhersage von Rißwiderstandskurven für verschiedene Probengeometrien und Materialien im Rißinitiierungsbereich und bei großem Rißwachstum. Technical report, BAM-V.31 98/2, Bundesanstalt für Materialforschung und -prüfung Klingbeil D, Brocks W, Fricke S, Arndt S, Reusch F, Kiyak Y (1998) Verifikation von Schädigungsmodellen zur Vorhersage von Rißwiderstandskurven für verschiedene Probengeometrien und Materialien im Rißinitiierungsbereich und bei großem Rißwachstum. Technical report, BAM-V.31 98/2, Bundesanstalt für Materialforschung und -prüfung
35.
go back to reference ASTM-E 1820 (2007) Standard test method for measurement of fracture toughness. Technical report, American Society for Testing and Materials, West Conshohocken ASTM-E 1820 (2007) Standard test method for measurement of fracture toughness. Technical report, American Society for Testing and Materials, West Conshohocken
Metadata
Title
Numerical Simulation of Crack Propagation
Author
Meinhard Kuna
Copyright Year
2013
Publisher
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-007-6680-8_8

Premium Partners