Adaptivity and convergence in the Voronoi cell finite element model for analyzing heterogeneous materials

By S. Moorthy, Somnath Ghosh. 2000

86 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7f8da7a18ce4bf11ac55ef683b5fe436eef1825f

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 Mechanics of Materials

Citations in the corpus

Micromechanics of spatially uniform heterogeneous media: A critical review and emerging approaches (2009, methodology): “Moorthy and Ghosh [104], Chaboche et al.”
Statistically Equivalent Representative Volume Elements for Unidirectional Composite Microstructures: Part I - Without Damage (2006, unknown): “[22–27].”
Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mapping (2009, unknown): “[34, 44, 45] developed the Voronoı̈ cell finite element model (VCFEM) to model heterogenous microstructures of composites and porous materials with heterogeneities of regular shapes.”
Interfacial debonding analysis in multiple fiber reinforced composites (2000, unknown): “VCFEM has been established as an eAective tool for eAcient and accurate modeling of non-uniform microstructures with heterogeneities of arbitrary shapes, sizes or dispersions with perfect interfaces in Ghosh and Moorthy (1995), and Moorthy and Ghosh (1996, 2000) .”
Three dimensional Voronoi cell finite element model for microstructures with ellipsoidal heterogeneties (2004, methodology): “Compatible displacement fields satisfying inter-element continuity on the element boundary oXe and inter-phase continuity on the matrix-inclusion interface oXe are generated by interpolation of nodal displacements, [18,19] as:”
Extended Voronoi cell finite element model for multiple cohesive crack propagation in brittle materials (2006, methodology): “Polynomial functions alone do not contribute to this requirement and hence lead to poor convergence [29, 30].”
Concurrent multi-level model for damage evolution in microstructurally debonding composites (2007, unknown): “…computations of level0 and level-1 elements are performed with the conventional displacement-based finite element method, while all microscopic calculations in the RVE of level-1 elements are performed using the Voronoi cell FEM (Moorthy and Ghosh, 2000; Ghosh et al., 2000; Li and Ghosh, 2004).”