Consistent Formulations of the Interaction Integral Method for Fracture of Functionally Graded Materials

136 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

XFEM fracture analysis of orthotropic functionally graded materials (2013, unknown): “Three different formulations have been proposed in the literature: non-equilibrium, incompatibility, and constantconstitutive-tensor [60].”
An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces (2010, background): “According to a series of investigations (Kim and Paulino, 2003, 2004, 2005), Kim and Paulino gave a systemical summary on three definitions of the auxiliary fields and discussed how to extract mixed-mode SIFs and Tstress of 2D cracks in isotropic and orthotropic FGMs.”
Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method (2009, methodology): “(7), the interaction integral I can be written as I ¼ Z A rauxij uj;1 þ rijuauxj;1 rauxjk ejkd1i q;i dA þ Z A rijuauxj;i1 rauxij;1 eij qdA ð10Þ It should be noted that Kim and Paulino (2005) derived the same expression as Eq.”