Analytical Mechanics of Fracture and Fatigue

  • V. V. Bolotin
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 39)


The aim of this paper is to describe the fundamental notions of fracture mechanics (the mechanics of cracked bodies) in the framework of analytical mechanics. The principle of virtual work for systems with unilateral constraints is used. A classification is proposed for states of the system “cracked body — loading” with respect to equilibrium and stability properties. Conditions of equilibrium and stability are stated in terms of generalized forces. The relationship between generalized forces and conventional concepts of fracture mechanics (energy release rate, stress intensity factors, path-independent integrals) is discussed. The fatigue crack growth is also presented in terms of analytical mechanics under the additional assumption that the resistant generalized forces depend on the level of microdamage accumulated near the crack-tips.


Stress Intensity Factor Plastic Zone Crack Growth Rate Fatigue Crack Growth Energy Release Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Rabotnov, Yu.N. Mechanics of Deformable Solids, Moscow, Nauka (1979), in Russian.Google Scholar
  2. 2.
    Bolotin, V.V., Mechanics of Solids, (MTT), N4, 153 (1983), In Russian.Google Scholar
  3. 3.
    Bolotin, V.V., Mechanics of Solids, (MTT), N3, 127 (1984), in Russian.Google Scholar
  4. 4.
    Wnuk, W.G., Intern. J. Fracture, 7, 383 (1971).Google Scholar
  5. 5.
    Bolotin, V.Y., Mechanics of Solids, (MTT), N5, 148 (1987), in Russian.Google Scholar
  6. 6.
    Bolotin, V.V., Engng. Fracture Mech., 22, 387 (1985).CrossRefGoogle Scholar
  7. 7.
    Bolotin, V.V., Mechanical Engineering (Mashinovedeniye), N4, 20 (1987), in Russian.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • V. V. Bolotin
    • 1
  1. 1.Institute of Mechanical EngineeringUSSR Academy of SciencesMoscowUSSR

Personalised recommendations