On the Path and Area Jx1-Integral Components and their Relationship to the Out-of-Plane Constraint in Elastic Cracked Plates Articles uri icon

authors

  • FERNANDEZ CANTELI, ALFONSO
  • GINER MARAVILLA, EUGENIO
  • FERNANDEZ ZUÑIGA, DANIEL
  • FERNANDEZ SAEZ, JOSE

publication date

  • June 2010

start page

  • 421

end page

  • 424

volume

  • 417-418

international standard serial number (ISSN)

  • 1013-9826

electronic international standard serial number (EISSN)

  • 1662-9809

abstract

  • In this paper, the path and area components of the Jx1-integral, JP and JA, in three dimensional elastic cracked plates under mode-I loading are investigated aiming at relating them to the out-of-plane constraint conditions resulting from different specimen thicknesses. It is concluded that the JP and JA components of the Jx1-integral vary in the region where the out-of-plane constraint extends. Sufficiently far from the crack front, these integrals tend to stabilize, indicating that the thickness constraint vanishes and that a 2D-like stress and strain fields have been reached. A pure plane strain condition is only attained when the specimen thickness is very large when compared to the in-plane dimensions. For thin plates, it is shown that the 2D plane stress condition is impossible in the close neighbourhood of a 3D crack front under elastic behaviour so that the consideration of an equivalent Young modulus E', used to find a simple relation between the J(s)-integral and KI for different constraint levels can be misleading.