Finite element evaluation of mixed mode stress intensity factors in functionally graded materials

By Jeong-Ho Kim, Glaucio H. Paulino. 2002

345 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/35e5afc75eec1b738dbc2c845cf265b3f6230e6f

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In Mechanics of Materials

Citations in the corpus

Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method (2002, methodology): “Mode I [12,13] and mixed-mode [14,15] crack problems have been investigated by means of the finite element method (FEM) and the pathindependent J k -integral, which includes an extra term for the explicit derivative of strain energy density to account for the material variation.”
Free vibration analysis of axially functionally graded tapered Timoshenko beams using differential transformation element method and differential quadrature element method of lowest-order (2013, methodology): “The gradation in any direction is considered and formulated using different theories such as exponential [4] and power laws [5].”
On the computation of mixed-mode stress intensity factors in functionally graded materials (2002, background): “During the review period for this article, our attention was called to an excellent paper by Kim and Paulino (2002) examining various methods to evaluate mixed-mode stress intensity factors in FGMs.”
A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, methodology): “The graded elements are based on the ‘‘generalized isoparametric formulation’’ or GIF [23] and, in general, they show superior performance to conventional homogeneous elements [62].”
Symmetric Galerkin boundary element computation of T-stress and stress intensity factors for mixed-mode cracks by the interaction integral method (2004, methodology): “E-mail address: paulino@uiuc.edu (G.H. Paulino). the propagating tip/front region, is simple and easy.”
A MIXED RITZ-DQ METHOD FOR FORCED VIBRATION OF FUNCTIONALLY GRADED BEAMS CARRYING MOVING LOADS (2010, background): “The exponential law, which is more common in fracture studies of FGM [45, 46], is given by”
T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method (2003, methodology): “Kim and Paulino [11] have also evaluated mixed-mode SIFs in FGMs by means of the path-independent J k -integral using the equivalent domain integral (EDI).”
Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “It is given by Kim and Paulino [22] and Zhang et al.”