Mesh-free analysis of cracks in isotropic functionally graded materials

By B. Rao, Sharif Rahman. 2003

199 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ea2dce97eb05bab58298d9edb835834f1fc18681

How researchers see this paper

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

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Scaled boundary polygons with application to fracture analysis of functionally graded materials (2014, methodology): “Quadratic elements Cubic elements Kim and Paulino Rao and Rahman E1=E2 Equation (56) Equation (62) Equation (56) Equation (62) [39] [45]”
Determination of thermal stress intensity factors for an interface crack in a graded orthotropic coating-substrate structure (2005, methodology): “Making use of different auxiliary fields, Dolbow and Gosz (2002), Kim and Paulino (2003) and Rao and Rahman (2003) provided several kinds of interaction integral to evaluate the stress intensity factors of the mixed-mode crack in FGMs under mechanical load.”
Meshless approach for thermo-mechanical analysis of functionally graded materials (2008, methodology): “The corresponding developments in thermal and stress computation in FGMs include: Rao and Rahman [3] used element-free Galerkin method (EFGM) to simulate stress fields near the crack tip in FGMs.”
The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors (2003, methodology): “Recently, the interaction integral method has been used for evaluating SIFs in isotropic FGMs (Dolbow and Gosz, 2002; Rao and Rahman, 2002; Kim and Paulino, 2003b,c).”
Stochastic multiscale models for fracture analysis of functionally graded materials (2008, methodology): “If the crack-tip contour is restricted to lie inside D , the interaction integral for a locally homogeneous material [5], M((1,2)), can be easily calculated.”
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): “For instance, Dolbow and Gosz [16] considered the plane problem of an arbitrarily oriented crack and used the extended finite element method (X-FEM), Rao and Rahman [17] used the element-free Galerkin (EFG) method, and Kim and Paulino [18] used the FEM to investigate FGMs with multiple cracks and ma”
A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, methodology): “This formulation was discussed by Dolbow and Gosz [42], and it was presented and implemented by Rao and Rahman [76] (referred to as Method I in their paper) using a meshless method.”
Crack propagation modelling in functionally graded materials using scaled boundary polygons (2015, methodology): “…are usually employed e.g. the finite element method (FEM) (Bao and Wang 1995; Analas et al. 2000; Kim and Paulino 2002a, 2003, 2004, 2007), the boundary element method (BEM) (Yue et al. 2003; Zhang et al. 2003; Gao et al. 2008) and the meshless methods (Rao and Rahman 2003; Sladek et al. 2005a, b).”