Phantom-node method for shell models with arbitrary cracks

By T. Chau-Dinh, Goangseup Zi, Phill-Seung Lee, Timon Rabczuk, Jeong‐Hoon Song. 2012

303 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e6c3c2d33bede26f538c8e0b7a7a8bb75b35660e

How researchers see this paper

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

In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, methodology): “Most of these methods have to describe complex crack geometry in the discrete setting, such as the discrete crack models [9], the extended finite element method (XFEM) [10, 11], generalized finite-elements method (GFEM) [12], and the phantom-node method [13, 14].”
An adaptive multiscale method for quasi-static crack growth (2014, methodology): “[24] applied the phantom node method to shell models with arbitrary cracks.”
Phase-field modeling of fracture in linear thin shells (2014, unknown): “Furthermore, many of the approaches are applied to simple geometries such as plates, or spherical and cylindrical geometries [18, 19, 12, 20].”
The MITC3 shell finite element enriched by interpolation covers (2014, methodology): “In future studies, it would be valuable to mathematically analyze the method, to further test the scheme, and to develop the method for nonlinear analysis [1,18,43] and for solving problems containing very high stress gradients, like shell problems containing cracks [32,33,44].”
A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, background): “extended finite element [1, 2], meshfree [3, 4, 5, 6, 7, 8, 9], phantom-node [10, 11, 12], XIGA [13, 14] and remeshing techniques [15, 16]), it is still a major challenge within these frameworks.”
Isogeometric finite element analysis of composite sandwich plates using a higher order shear deformation theory (2013, background): “Thanks to advanced numerical approaches such as finite elements (FEM) [7], smoothed finite elements (SFEM) [16, 17], extended finite elements [18, 19], meshfree methods [20, 21, 22] and extended meshfree methods [23, 24], we can solve effectively more complicated problems in practice.”
A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields (2014, unknown): “Recently, much effort has been directed towards the application of meshless methods to crack problems to overcome the difficulties in traditional numerical methods such as meshless methods for dynamic problem, 2D fracture modelling [9–18], 3D fracture modelling [19,38–41], fluid structure integratio”
Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017, methodology): “Therefore, we have employed the phantom node method (Chau-Dinh et al. 2012; Hansbo and Hansbo 2004; Rabczuk et al. 2008; Song et al. 2006; Vu-Bac et al. 2013) in order to model fracture in PNCs.”