International Journal of Fracture

, Volume 79, Issue 2, pp 107–119 | Cite as

Cracks in gradient elastic bodies with surface energy

  • G. Exadaktylos
  • I. Vardoulakis
  • E. Aifantis


In the present paper the effect of higher order gradients on the structure of line-crack tips is determined. In particular we introduce in the constitutive equations of the linear deformation of an elastic solid a volumetric energy term, which includes the contribution of the strain gradient, and a surface energy gradient dependent term and then determine the effect of these terms on the structure of the mode-III crack tip and the associated stress and strain fields. By making use of the solution in terms of Fourier transform of the equation of elastic equilibrium we solve the half-plane boundary value problems of: (a) specified tractions, and (b) prescribed displacements, along the crack surface, respectively.


Fourier Transform Surface Energy Civil Engineer Constitutive Equation Crack Surface 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • G. Exadaktylos
    • 1
  • I. Vardoulakis
    • 2
  • E. Aifantis
    • 3
    • 4
  1. 1.Department of Mineral Resources EngineeringTechnical University of CreteHaniaGreece
  2. 2.Department of Engineering ScienceNational Technical University of AthensAthensGreece
  3. 3.Center for Mechanics of Materials and InstabilitiesMichigan Technological UniversityHoughtonUSA
  4. 4.Laboratory of Mechanics and MaterialsAristotle University of ThessalonikiThessalonikiGreece

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