Numerical Calculation of Stress Intensity Factors in Functionally Graded Materials

By G. Anlas, M. Santare, John Lambros. 2000

217 citations recorded by the source corpus.

Subfields: Building and Construction, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7f3f5694c533f407ac1f03e67a82c637e2819296

How researchers see this paper

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

In Building and Construction

In Mechanics of Materials

Citations in the corpus

Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements (2017, unknown): “in [10, 11, 12] and they produced reasonable results.”
On the computation of mixed-mode stress intensity factors in functionally graded materials (2002, methodology): “These observations are consistent with the results reported in Anlas et al. (2000). We note that the error generally increases slightly as the Young’s moduli for the two materials diverge, and is most likely the result of using a finite domain.”
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.”
Crack propagation modelling in functionally graded materials using scaled boundary polygons (2015, methodology): “…material gradients and complex crack geometries, numerical methods 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)…”
An interaction integral method for analysis of cracks in orthotropic functionally graded materials (2003, methodology): “Crack problems under both mode-I [23, 24] and mixed mode [25, 26] loading conditions were studied using finite element method (FEM) and J k -integral method.”
A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, background): “[23,42,49–65], and thus a specific form of the M-integral is derived for such type of material gradation.”
Mesh-free analysis of cracks in isotropic functionally graded materials (2003, methodology): “[25] evaluated SIFs in FGMs by the FEM where the material property variation was discretized by assigning different homogeneous elastic properties to each element.”
Finite element evaluation of mixed mode stress intensity factors in functionally graded materials (2002, methodology): “[17] have evaluated SIFs in FGMs by the FEM where the material property variation was discretized by assigning di=erent homogeneous elastic properties to each element.”
Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials (2005, background): “Two alternative schemes for graded elements have been proposed by Anlas et al. (2000) and Kim and Paulino (2002a).”
Determination of thermal stress intensity factors for an interface crack in a graded orthotropic coating-substrate structure (2005, methodology): “To address this issue, Gu et al. (1999) proposed the use of a sufficiently refined mesh near the crack tip, while Anlas et al. (2000) and Chen et al. (2000) developed a modified pathdomain form of the J -integral in FGMs with a mode I crack, respectively.”
XFEM fracture analysis of orthotropic functionally graded materials (2013, unknown): “[11] considered the modified integral method to compute the mode I stress intensity factor.”