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Finite Elemente Verfahren in der Bruchmechanik

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Zusammenfassung

Im letzten Jahrzehnt ist die numerische Analyse bruchmechanischer Aufgabenstellungen zu einem Forschungszweig geworden, der durch ein hohes Maß an wissenschaftlicher Aktivität gekennzeichnet ist. Übersichtsartikel über die Anwendung numerischer Verfahren — insbesondere der Methode der Finiten Elemente — in der Bruchmechanik erscheinen mit gewisser Regelmäßigkeit in der Literatur /1/, /2/, /3/, /4/. In diesem Beitrag wird auf die Berechnung des singulären Spannungsfeldes um die Rißspitze und der damit assoziierten bruchmechanischen Kenngrößen und Parameter eingegangen. Inelastisches (z.B. elasto-plastisches) Bruchverhalten, welches in geeigneter Weise mit konventionellen, nichtsingulären Elementen beschrieben wird, wird an anderer Stelle eingehend behandelt. Die hier dargelegten Entwicklungen beziehen sich im wesentlichen auf die in der linear-elastischen Bruchmechanik charakteristischen Singularitäten für ebene und räumliche Probleme.

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Literatur

  1. Kuna, M.: Some Applications of the Finite Element Method to Fracture Mechanics of Elastic and Elastic-Plastic Bodies. In: Proceedings of the First International Conference on Numerical Methods in Fracture Mechanics (Luxmoore, A. R., Owen, D. R. J., Hrsg.), S. 537–549. Swansea: Pineridge Press. (1978).

    Google Scholar 

  2. Gallagher, R. H.: A Review of Finite Element Techniques in Fracture Mechanics. In: Proceedings of the First International Conference on Numerical Methods in Fracture Mechanics (Luxmoore, A. R., Owen, D. R. J., Hrsg.), S. 1–25. Swansea: Pineridge Press. (1978).

    Google Scholar 

  3. Pian, T. H. H.: Crack Elements. In: Proceedings of World Congress on Finite Element Methods in Structural Mechanics. S. F.1-F.39. Bournemouth. 1975.

    Google Scholar 

  4. Zienkiewicz, O. C.: The Finite Element Method, 3. Aufl. London: McGraw-Hill. (1977).

    MATH  Google Scholar 

  5. Broek, D.: Elementary Engineering Fracture Mechanics, 2. Aufl. Alphen aan den Rijn: Sijthoff/Noordhoff. 1978.

    MATH  Google Scholar 

  6. Tong, P., Pian, T. H. H., Lasry, S.: A Hybrid Element Approach to Crack Problems in Plane Elasticity. International Journal for Numerical Methods in Engineering 7, S. 297–308 (1973).

    Article  ADS  MATH  Google Scholar 

  7. Pian, T. H. H., Moriya, K.: Three-Dimensional Fracture Analysis by Assumed Stress Finite Elements. In: Proceedings of the First International Conference on Numerical Methods in Fracture Mechanics (Luxmoore, A. R., Owen, D. R. J., Hrsg.), S. 363–373. Swansea: Pineridge Press. (1978).

    Google Scholar 

  8. Atluri, S. N., Nakagaki, M., Kathiresan, K., Rhee, H.C.: Hybrid Finite Element Models for Linear and Nonlinear Fracture Analyses. In: Proceedings of the First International Conference on Numerical Methods in Fracture Mechanics (Luxmoore, A. R., Owen, D. R. J., Hrsg.), S. 52–66. Swansea: Pineridge Press. (1978).

    Google Scholar 

  9. Westergaard, H. M.: Stresses at a Crack, Size of the Crack, and the Bending of Reinforced Concrete. Proceedings of the ACI 30, S. 93–102 (1934).

    Google Scholar 

  10. Muskhelishvili, N. I.: Some Basic Problems of the Mathematical Theory of Elasticity. Groningen: Noordhoff. (1953).

    MATH  Google Scholar 

  11. Byskov, E.: The Calculation of Stress Intensity Factors Using the Finite Element Method with Cracked Elements. International Journal of Fracture Mechanics 6, S. 159–167 (1970).

    Article  Google Scholar 

  12. Tracey, D. M.: Finite Elements for Determination of Crack Tip Elastic Stress Intensity Factors. Engineering Fracture Mechanics 3, S. 255–266 (1971).

    Article  Google Scholar 

  13. Tracey, D. M., Cook, T. S.: Analysis of Power Type Singularities Using Finite Elements. International Journal for Numerical Methods in Engineering 11, S. 1225–1235 (1977).

    Article  ADS  MATH  Google Scholar 

  14. Akin, J. E.: The Generation of Elements with Singularities. International Journal for Numerical Methods in Engineering 10, S. 1249–1260 (1976).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Benzley, S. E.: Representation of Singularities with Isoparametric Finite Elements. International Journal for Numerical Methods in Engineering 8, S. 537–545 (1974).

    Article  ADS  MATH  Google Scholar 

  16. Irons, B. M.: A Frontal Solution Program for Finite Element Analysis. International Journal for Numerical Methods in Engineering 2, S. 5–32 (1970).

    Article  ADS  MATH  Google Scholar 

  17. Henshell, R. D., Shaw, K. G.: Crack Tip Elements are Unnecessary. International Journal for Numerical Methods in Engineering 9, S. 495–509 (1975).

    Article  ADS  MATH  Google Scholar 

  18. Barsoum, R. S.: On the Use of Isoparametric Finite Elements in Linear Fracture Mechanics. International Journal for Numerical Methods in Engineering 10, S. 25–37 (1976).

    Article  ADS  MATH  Google Scholar 

  19. Barsoum, R. S.: Triangular Quarter Point Elements as Elastic and Perfectly-Plastic Crack Tip Elements. International Journal for Numerical Methods in Engineering 11, S. 85–98 (1977).

    Article  ADS  MATH  Google Scholar 

  20. Lynn, P., Ingraffea, A. R.: Transition Elements to be Used with Quarter-Point Crack Tip Elements. International Journal for Numerical Methods in Engineering 11, S. 1031–1036 (1978).

    Article  ADS  Google Scholar 

  21. Pian, T. H. H., Tong, P., Luk, C.: Elastic Crack Analysis by a Finite Element Hybrid Method. In: Proceedings of the Third Air Force Conference on Matrix Methods in Structural Mechanics, S. 661–682. Dayton, Ohio: Air Force Flight Dynamics Laboratory. (1971).

    Google Scholar 

  22. Dixon, J. R., Pook, L. P.: Stress Intensity Factors Calculated Generally by the Finite Element Technique. S. 166 (1969).

    Google Scholar 

  23. Rice, J. R.: A Path-Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks. Transactions ASME, Journal of Applied Mechanics 35, S. 379–386 (1968).

    Article  ADS  Google Scholar 

  24. Rice, J. R., Tracey, D. M.: Computational Fracture Mechanics. In: Numerical and Computer Methods in Structural Mechanics (S. J. Fenves, N. Perrone, A. R. Robinson, W. C. Schnobrich, Hrsg.), S. 585–623. New York and London: Academic Press. (1973).

    Google Scholar 

  25. Mang, H. A., Gallagher, R. H.: A Critical Assessment of the Simplified Hybrid Displacement Method. International Journal for Numerical Methods in Engineering 11, S. 145–167 (1977).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Dean of Engineering, University of Arizona, Tucson, Arizona, 85721, USA

    Prof. Richard H. Gallagher Ph.D.

  2. Institut für Baustatik und Festigkeitslehre, Technische Universität Wien, Karlsplatz 13, A-1040, Wien, Österrich

    Prof. Dr.techn. Herbert A. Mang Ph.D.

Authors
  1. Prof. Richard H. Gallagher Ph.D.
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  2. Prof. Dr.techn. Herbert A. Mang Ph.D.
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Editor information

Editors and Affiliations

  1. Institut für Mechanik, Technische Universität Wien, Österreich

    Hans-Peter Rossmanith

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© 1982 Springer-Verlag Wien

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Gallagher, R.H., Mang, H.A. (1982). Finite Elemente Verfahren in der Bruchmechanik. In: Rossmanith, HP. (eds) Finite Elemente in der Bruchmechanik. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2297-6_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2297-6_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-2298-3

  • Online ISBN: 978-3-7091-2297-6

  • eBook Packages: Springer Book Archive

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