T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method

By Jeong-Ho Kim, Glaucio H. Paulino. 2003

172 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/eed86dd8715bdc36de10353c80100960cf83f613

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, methodology): “Recently, Kim and Paulino [30] used the interaction integral method in conjunction with the finite element method (FEM) to investigate T -stress and its effect on crack initiation angle in FGMs, however, they used an incompatibility formulation [30].”
T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms (2004, background): “where W is the strain energy density expressed by W = 1 2 σij εij = 1 2 Cijklεklεij , (24) 1Here, the so-called M-integral should not be confused with the M-integral (conservation integral) of Knowles and Sternberg (1972), Budiansky and Rice (1973), and Chang and Chien (2002).”
Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method (2009, methodology): “Similarly, the interaction integral can be obtained as (Kim and Paulino, 2003) I ¼ 2 E0tip KIK aux I þ KIIK aux II ð40Þ By setting KauxI ¼ 1;K aux II ¼ 0 and K aux I ¼ 0;K aux II ¼ 1, mode I and mode II SIFs can be decoupled using Eq.”
Symmetric Galerkin boundary element computation of T-stress and stress intensity factors for mixed-mode cracks by the interaction integral method (2004, methodology): “They have also extended the two-state integral approach to evaluate T-stress in isotropic [35,36] and orthotopic [37] FGMs.”
An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces (2010, background): “3, since the crack faces are assumed to be traction-free, it can be easily proved that (Kim and Paulino, 2003)”
Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials (2005, methodology): “This new concept of engineering the material microstructure and recent advances in material processing science allows one to fully integrate material and structural design considerations (Miyamoto et al., 1999; Paulino et al., 2003).”