Publicou 6 edições por ano
ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352
Indexed in
SIMULATING FRAGMENTATION AND FLUID-INDUCED FRACTURE IN DISORDERED MEDIA USING RANDOM FINITE-ELEMENT MESHES
RESUMO
Fracture and fragmentation are extremely nonlinear multiscale processes in which microscale damage mechanisms emerge at the macroscale as new fracture surfaces. Numerous numerical methods have been developed for simulating fracture initiation, propagation, and coalescence. Here, we present a computational approach for modeling pervasive fracture in quasi-brittle materials based on random close-packed Voronoi tessellations. Each Voronoi cell is formulated as a polyhedral finite element containing an arbitrary number of vertices and faces. Fracture surfaces are allowed to nucleate only at the intercell faces. Cohesive softening tractions are applied to new fracture surfaces in order to model the energy dissipated during fracture growth. The randomly seeded Voronoi cells provide a regularized discrete random network for representing fracture surfaces. The potential crack paths within the random network are viewed as instances of realizable crack paths within the continuum material. Mesh convergence of fracture simulations is viewed in a weak, or distributional, sense. The explicit facet representation of fractures within this approach is advantageous for modeling contact on new fracture surfaces and fluid flow within the evolving fracture network. Applications of interest include fracture and fragmentation in quasi-brittle materials and geomechanical applications such as hydraulic fracturing, engineered geothermal systems, compressed-air energy storage, and carbon sequestration.
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Vaziri Astaneh Ali, Fuentes Federico, Mora Jaime, Demkowicz Leszek, High-order polygonal discontinuous Petrov–Galerkin (PolyDPG) methods using ultraweak formulations, Computer Methods in Applied Mechanics and Engineering, 332, 2018. Crossref
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Vocialta M., Corrado M., Molinari J.-F., Numerical analysis of fragmentation in tempered glass with parallel dynamic insertion of cohesive elements, Engineering Fracture Mechanics, 188, 2018. Crossref
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Pourmoghaddam Navid, Kraus Michael A., Schneider Jens, Siebert Geralt, The geometrical properties of random 2D Voronoi tesselations for the prediction of the tempered glass fracture pattern, ce/papers, 2, 5-6, 2018. Crossref
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Spring Daniel W., Paulino Glaucio H., Achieving pervasive fracture and fragmentation in three-dimensions: an unstructuring-based approach, International Journal of Fracture, 210, 1-2, 2018. Crossref
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Bishop Joseph E., Sukumar N., Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation, Computer Aided Geometric Design, 77, 2020. Crossref
-
Shovkun Igor , Tchelepi Hamdi A., A Cut-Cell Polyhedral Finite Element Model for Coupled Fluid Flow and Mechanics in Fractured Reservoirs, Day 1 Tue, October 26, 2021, 2021. Crossref
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Aoki Kunihiro, Furue Ryo, Fujimura Atsushi, A model for the size distribution of marine microplastics: A statistical mechanics approach, PLOS ONE, 16, 11, 2021. Crossref
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Shovkun I, Tchelepi H. A., A Cut-Cell Polyhedral Finite Element Model for Coupled Fluid Flow and Mechanics in Fractured Reservoirs, SPE Journal, 27, 02, 2022. Crossref
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Moës Nicolas, Lé Benoît, Stershic Andrew, Fragmentation analysis of a bar with the Lip-field approach, Mechanics of Materials, 172, 2022. Crossref