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A consistent approach to the fracture of pavements

Eine geeignete Näherung für das Brechen von Fahrbahnen

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Summary

By considering the total energy of a pavement and its foundation the governing equations for the fracture of the pavement and the requirements for crack growth are presented. As is the case in all energy minimization procedures the stress and displacement boundary conditions are also obtained by this technique. The stress conditions along the surface of the crack are particularly interesting since the shear stress in the foundation is shown to give rise to a transverse shear force along the crack face. This theory is then refined so as to allow for a crack lying near the edge of the pavement when lift off effects may become significant.

Finally an improved theory is developed which allows for a filling material under the plate.

Zusammenfassung

Die Grundgleichungen für das Brechen einer Fahrbahn sowie die Bedingungen für die Rißfortpflanzung werden durch Betrachtung der gesamten Energie der Fahrbahn sowie der Gründung angegeben. Wie bei jeder Energieminimierung erhält man die Spannungs-und Verschiebungsrandbedingungen. Die Spannungsbedingungen entlang der Rißoberfläche sind von besonderem Interesse, da die Schubspannung in der Gründung, wie gezeigt wird, eine Querschubkraft entlang der Rißfläche verursacht. Diese Theorie wird weiter verfeinert, so daß sie für einen Riß nahe des Fahrbahnrandes, wo Abhebeeffekte bedeutsam sind, angewendet werden kann.

Schließlich wird noch eine verfeinerte Theorie entwickelt, die für ein Füllmaterial unter der Fahrbahnplatte geeignet ist.

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References

  1. Si-Tsai Lin, Folias, E. S.: On the Fracture of Highway Pavements. Int. J. Fracture11, 1, 93–107 (1975).

    Article  Google Scholar 

  2. Kerr, A. D.: On the Derivation of Well Posed Boundary Value Problems in Structural Mechanics. Int. J. Solids and Struc.12, 1–12 (1976).

    Article  MATH  Google Scholar 

  3. Kerr, A. D.: Elastic and Viscoelastic Foundation Models. J. Appl. Mech.31, 491–498 (1964).

    Article  MATH  Google Scholar 

  4. Jones, R., Xenophontos, J.: On the Vlasov and Kerr Foundation Models. Acta Mechanica (in press).

  5. Vlasov, V. Z., Leontev, N. N.: Beams, Plates and Shells on Elastic Foundation. (Israel Program for Scientific Translation, Jerusalem) 1966.

    Google Scholar 

  6. Timoshenko, S. P., Woinowski-Krieger, S.: Theory of Plates and Shells, 2nd ed. McGraw-Hill. 1959.

  7. Sih, G. C.: Methods of Analysis and Solutions of Crack Problems, pp. XXI-XLIV. Leyden: Noordhoff International Publishing. 1973.

    Book  Google Scholar 

  8. Sih, G. C.: Some Basic Problems in Fracture Mechanics and New Concepts. Eng. Frac. Mech.5, 2, 363–377 (1973).

    Article  MathSciNet  Google Scholar 

  9. Jones, R., Xenophontos, J.: An Approximate Technique for Evaluating the Closures Due to Mining. Acta Mechanica (in press).

  10. Sargions, M.: Pavements and Surfaces for Highways and Airports. London: Applied Science Publishers. 1975.

    Google Scholar 

  11. Shell International Petroleum Company Limited: Shell Design Charts for Flexible Pavements. London: 1963.

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Jones, R. A consistent approach to the fracture of pavements. Acta Mechanica 31, 137–146 (1978). https://doi.org/10.1007/BF01261191

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