An efficient meshless method for fracture analysis of cracks
By B. Rao, Sharif Rahman. 2000
201 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3bc7455c30dd64984dadab75d985d3d1866a17aa
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In Civil and Structural Engineering
In Mechanics of Materials
Citations in the corpus
- A meshless method with enriched weight functions for three‐dimensional crack propagation (2006, methodology): “References [21, 22, 23, 24, 25] present in that order a method with an enriched set of basis functions, a method coupled to the finite element method and the application of that method to probabilistic fracture mechanics on one hand and to non-linear fracture mechanics on the other hand.”
- Modeling complex crack problems using the numerical manifold method (2009, methodology): “Since elements are not involved any more, meshless methods avoid distortion or coincidence of elements with the crack geometries, and therefore are regarded as being more effective than the FEM in this respect (Belytschko et al. 1996; Rao and Rahman 2000; Duflot and Nauyen-Dang 2004).”
- Probabilistic fracture mechanics by Galerkin meshless methods – part I: rates of stress intensity factors (2002, methodology): “(38), (42) and (43) the generalized displacement vector d can be solved efficiently without the application of any Lagrange multipliers [1].”
- Mesh-free analysis of cracks in isotropic functionally graded materials (2003, methodology): “In recent years, various Galerkin-based meshless or mesh-free methods have been developed or investigated to solve fracture-mechanics problems without the use of a structured grid [32] [33] [34] [35] [36] [37] [38].”
- Probabilistic fracture mechanics by Galerkin meshless methods – part II: reliability analysis (2002, methodology): “A fully enriched basis function, weight function parameter b 1⁄4 3, and diffraction parameter k 1⁄4 1 were used for all meshless calculations [1, 17].”
- An element-free Galerkin method for probabilistic mechanics and reliability (2001, methodology): “…> 0, and P p T x 1 p T x 2 . . . p T x n P T T T R Q U U U S P L R n  R m : 5 A number of weight functions are available in the literature (Belytschko et al., 1994, 1995; Lu et al., 1994; Liu et al., 1995, 1997; Duarte and Oden, 1996; Melenk and Babuska, 1996; Rao and Rahman, 2000).”
- A meshless method with enriched weight functions for fatigue crack growth (2004, methodology): “as in References [11, 14] or a partially enriched basis p = [1, x, y, √ r] as in Reference [14].”